Answer:
4(5)^2 + 3(6)
Step-by-step explanation:
200+18= 218
Please help!
A circle is defined by the equation below:
x^2 + y^2 - x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
Answer:
Step-by-step explanation:
We know that the equation of a circle is:
(
x
−
a
)
2
+
(
y
−
b
)
2
=
R
2
where a and b are the coordinates of the center, and R is the radius.
So in this question we have to complete the squares:
x² + y² - x - 2y - 11/4 = 0 ->
x² - x + 1/4 + y² - 2y = 11/4 +1/4 ->
(x - 1/2)² + y² - 2y + 1 = 12/4 + 1 ->
(x - 1/2)² + (y - 1)² = 4
Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2
x² + y² - x - 2y - 2³/₄ = 0
x² + y² - x - 2y = 2³/₄
x² - x + y² - 2y = 2³/₄
(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4
(x - 1)² + (y - 2)² = 7³/₄
The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).
the sum of three consecutive even intergers is 30. what are the intergers?
Answer:
8, 10, 12
Step-by-step explanation:
3 consecutive even integers are 8, 10, 12
8 + 10 + 12 = 30.
Answer:
8, 10 ,12
Step-by-step explanation:
Let x be the first integer
x+2 is the second
x+4 is the third
The sum is 30
x+ x+2 + x+4 = 30
Combine like terms
3x+6 = 30
Subtract 6 from each side
3x+6 -6 =30-6
3x = 24
Divide by 6
3x/6 = 24/6
x = 8
x, x+2, x+4 is 8, 8+2, 8+4,
8, 10 ,12
write 12/16 as a fraction in simplest form . Then write the equivalent decimal and percent. Show your work.
simple form
decimal
Percent
Answer:
3/4, 0.75, 75%
Step-by-step explanation:
[tex]\frac{12}{16}[/tex]
divide top and bottom by 4
[tex]\frac{3}{4}[/tex]
Can someone please help me with this. ANYONE!
Answer:
Step-by-step explanation:
1 OF 3OR5
1. The equation is of the form , where a, b, and c are all positive integers and . Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form , where a, b, and c are all positive integers and such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. (c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answer:
[tex]7 + a = \sqrt{7b + c}[/tex] --- equation
[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values
[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values
Step-by-step explanation:
Given
[tex]x +2 = \sqrt{3x + 10[/tex]
[tex]x + a = \sqrt{bx + c}[/tex]
Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]
We have:
[tex]x + a = \sqrt{bx + c}[/tex]
Substitute 7 for x
[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation
Solving (b): Solve for a, b and c --- to make the equation true
[tex]7 + a = \sqrt{7b + c}[/tex]
Let a = 3 ----- Here, we choose a value for a
[tex]7 + 3 = \sqrt{7b + c}[/tex]
[tex]10 = \sqrt{7b + c}[/tex]
Square both sides
[tex]100 = 7b + c[/tex]
Let b = 5 --------- Here, we choose a value for b
[tex]100 = 7*5 + c[/tex]
[tex]100 = 35 + c[/tex]
Subtract 35 from both sides
[tex]c = 65[/tex]
So, [tex]x + a = \sqrt{bx + c}[/tex] is true for
[tex]a = 3; b =5\ and\ c = 65[/tex]
Solving (b): Solve for a, b and c --- to make the equation false
[tex]7 + a = \sqrt{7b + c}[/tex]
Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]
So, we have:
[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]
[tex]11 = \sqrt{35 + 10}[/tex]
Square both sides
[tex]121 = 45[/tex] --- This is false
i.e.
[tex]121 \ne 45[/tex]
Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?
Answer:
6000 dollar store for the day of a rectangle
Answer:
if its simple interest: $375 in interest, so he would have $1875 in total
if its compound interest: $420.13 in interest, so he would have $1920.13 in total
Step-by-step explanation:
I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.
but compound interest adds on to the total instead of the initial savings so its more complicated
7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
How many glasses of lemon juice and water are need to make 15 glasses of lemonade
A.14 glasses of lemon juice 1 glass of water
B.10 glasses of lemon juice 5 glasses of water
C.6 glasses of lemon juice 9 glasses of water
D.3 glasses of lemon juice 12 glasses of water
Answer:
Option B:10 glasses of lemon juice and 5 glasses of water
I need the answers and it's due today, please help
Answer:
1. 3
2. 1
3. 2
4. 4
5. 5
Step-by-step explanation:
Young people ages 15-24 are accountable for ____ of the total costs of motor vehicle injuries.
10%
20%
30%
40%
Answer:
30%
Step-by-step explanation:
A medical company tested a new drug on 100 people for possible side
effects. This table shows the results.
Side effects No side effects
Total
Adults
6
44
50
Children
20
30
50
Total
26
74
100
Compare the probability that an adult has side effects with the probability
that a child has side effects. Draw a conclusion based on your results.
Answer:
the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest
Step-by-step explanation:
The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.
Total number of people tested = 100
Number adults = 50
Number of adults who got side effects = 6
Probability that the adult got side effects = 6/50 = 0.12
Number of children = 50
Number of children who got side effects = 20
Probability that the children got side effects = 20/50 = 0.40
Here, it is clear that probability that the children got side effects is greater than that adult got side effects.
So, Children have a much higher chance of having side effects than adults.
Learn more about Probability here :
https://brainly.com/question/29864422
#SPJ7
The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the two points in units.
Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
Mrs. Santiago's consumer science class is making two different-size cheesecakes for
a fundraiser.
The large cheesecake has a diameter of 12 inches
The small cheesecake has a diameter of 4 inches
Part A: If the pans are both 3 inches deep, how many times greater is the volume
Of the large pan than that of the small pan? Show your work
Part B: When shipped, the large cheesecakes will be packaged in a box with dimensions of 12 in x
12 in x 3 in. What percentage of the box does the large cheesecake take up?
Show all work for each part and give at least 2 sentences explaination for each part.
Answer:
Part A: 9 times
Part B: 79%
Step-by-step explanation:
Part A:
Volume of the large pan = πr²h
Where,
radius (r) = ½(diameter) = ½(12) = 6 in.
height (h) = 3 in.
Volume = π*6²*3
Volume of the large pan = 339.29 in.³
Volume of the small pan = πr²h
r = ½(4) = 2 in.
h = 3 in
Volume of small pan = π*2²*3
Volume of the small pan = 37.7 in.³
✔️To determine how many times the volume of the large pan is greater than the small pan, divide the volume of the larger by the smaller:
= 339.29/37.7 ≈ 9
✅The volume of the large pan is about 9 times greater than the volume of the smaller pan.
Part B:
✔️Find the volume of the box:
Volume of box = L*W*H
Where,
L = 12 in.
W = 12 in.
H = 3 in.
Volume of the box = 12*12*3 = 432 in.³
Divide the volume of the large pan over the volume of the box and multiply by 100%
Thus:
339.29/432 × 100
= 78.5393519 ≈ 79%
The large cheesecake takes up about 79%
What is the mass of an object that has an acceleration of 55 m/s^{2} when a net force of 20 N is applied? (round to the nearest tenth)
Find the area of the sector in
terms of pi.
12
210°
Area
=
[?]
T
Answer:
84pi
Step-by-step explanation:
Sector Area = (pi x r^2 x *angle*)/ 360
(pi x 12^2 x 210)/ 360
= 84pi
= 263.893
Juan is 5 and his mom is 35. In how many years will Juan's mom be 3 times Juan's age?
Answer:
10 yrs
Step-by-step explanation:
Juan is 5 yrs now, mom is 35.
add 10 yrs to both the ages
juan is 15 and mom is 45
15 x 3=45
1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°
Answer:
could you include a pic please?
pls help me find the operations of 3a^2+4a^2+7a^2
Answer:
14a^2
Step-by-step explanation:
3a^2+4a^2+7a^2
Combine like terms
Factor out a^2
a^2(3+4+7)
a^2(14)
14a^2
Answer:
14 a²
Step-by-step explanation:
3a² + 4a² + 7a²
collect like terms
(3 + 4 + 7)a² .. ( factor out :- a²)
calculate the sum
14 a²
$70,000 - 17 1/2 % .
if i get this right i get the iphone xr
Answer:
$57750
Step-by-step explanation:
$70,000 - 17.5%
17.5 % = .175
.175 * $70000 = $12250
$70000 - $12250 = $57750
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
D. 3x + 1
Step-by-step explanation:
On a clear day you can see about 27 miles from the observation deck of the
Empire State Building in New York City. Using the formula below, estimate the
height in feet, h, of the observation deck. The distance, d, is in miles, and the
height, h, is in feet.
dava
A. 4.3 miles
B. 506 feet
C. 875 feet
D. 1050 feet
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
Find the circumference of circle L. Write your answer as a decimal, rounded to the nearest hundredth.
work out 37.56 divided by 12 and show working out
[tex]\longrightarrow{\green{3.13}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{37.56}{12} [/tex]
➺ [tex]\:3.13[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]
Answer:
3.13
Step-by-step explanation:
sorry that is All what I can say please don't be mad at me
Help please no links
Answer:
D
Step-by-step explanation:
The question states you need a square. That means whatever you do, must leave a square number like 49 or 64
If you add 6 or 7 to 56 you do not get 64 A and C are both wrong.
If you subtract 7 from 56 you get 49 which is a perfect square and all 4 sides will equal 7.
can someone walk me through this
3 = -2 |.25s - 5| +3
Answer:
s = 20
Step-by-step explanation:
Given
3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )
0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )
0 = | 0.25s - 5 | , then
0.25s - 5 = 0 ( add 5 to both sides )
0.25s = 5 ( divide both sides by 0.25 )
s = 20
Answer: S=20
Step-by-step explanation:
Data: 3=-2(0.25s-5)+3
S=?
Step one, Multiply .25s and -5 by -2
-2x0.25s=-0.50s
-2x-5=10
Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10
Step two, add like terms
3=-.50s+10+3=3=-.50s+13
Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.
Step three, subtract 13 on both sides
3-13=-.50s+13-13
-10=-.50s
Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.
Step four, divide -.50 on both sides
-10/-.50=-.50s/-.50
S=20
Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S
That's how you get the answer
I hope this helps!
At the beginning of the year, the local aquarium has 2,000 fish. Since then, the population has grown by 5% each month.
Which expressions represent the number of fish, in thousands, in the aquarium 3 years later if the population continues growing at this rate?
They are multiple choice
Answer: The third one
The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in
3 hours and 20 minutes. Also, express the distance in scientific notation.
Answer:
the answer is 4133.33...km
Explaination:
Distance = speed x time
Distance = 1240 x 10 / 3 = 4133.33... Km
A furniture maker has two pieces of wood. One is 48 inches long, and the other is 64 inches long. The wood needs to be cut into pieces of equal length with no wood left over. What is the greatest possible length the furniture maker can cut each piece of wood?
A) 24 inches
B) 16 inches
C) 12 inches
D) 8 inches
Answer:
Step-by-step explanation:
16
23. About how much would 4 horses weigh? Write the weight two different ways.
An average horse weighs 900-2,000 pounds, depending on size and breed. A lean, racing fit Thoroughbred, for example, has an average weight of 900-1,100 pounds, while the average Clydesdale (think Budweiser) weighs in at 1,800-2,000 pounds
Answer:
If one horse will weigh about 2000 pounds, or 1000kg, then four horses will weigh about 8000 pounds or 4000kg