Answer:
D. About 2700 in^2
Step-by-step explanation:
The area of a circle A = πd²/4 where d = diameter of circle.
A/d² = π/4 = k the proportionality constant.
So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.
So, we have
A₁/d₁² = A₂/d₂²
A₂ = A₁d₂²/d₁²
A₂ = A₁(d₂/d₁)²
substituting the values of the variables, we have
A₂ = 300 in²(60 in/20 in)²
A₂ = 300 in²(3)²
A₂ = 300 in²(9)
A₂ = 2700 in²
So, the area of circle B is about 2700 in²
What is the slope of у= 3х — 9
Answer:
3?
Step-by-step explanation:
3 is the slope intercept I believe
Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].
Answer:
[tex]f(x)=x^2+3x+2[/tex]
Step-by-step explanation:
We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).
Remember that the standard quadratic function is given by:
[tex]f(x)=ax^2+bx+c[/tex]
Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:
[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]
Simplify:
[tex]2=9a-3b+c[/tex]
Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:
[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]
And for (1, 6):
[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]
So, we have a triple system of equations:
[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]
We can solve this using elimination.
Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:
[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]
Compute:
[tex]6=2a+2c[/tex]
Let's divide both sides by 2:
[tex]3=a+c[/tex]
Now, let's eliminate b again but we will use Equation 1 and 2.
Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:
[tex]-3(0)=-3(a-b+c)[/tex]
Multiply:
[tex]0=-3a+3b-3c[/tex]
Add this to Equation 1:
[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]
Compute:
[tex]2=6a-2c[/tex]
Again, we can divide both sides by 2:
[tex]1=3a-c[/tex]
So, we know have two equations with only two variables:
[tex]3=a+c\text{ and } 1=3a-c[/tex]
We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:
[tex](3+1)=(a+3a)+(c-c)[/tex]
Compute:
[tex]4=4a[/tex]
Solve for a:
[tex]a=1[/tex]
So, the value of a is 1.
Using either of the two equations, we can now find c. Let's use the first one. Hence:
[tex]3=a+c[/tex]
Substitute 1 for a and solve for c:
[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]
So, the value of c is 2.
Finally, using any of the three original equations, solve for b:
We can use Equation 3. Hence:
[tex]6=a+b+c[/tex]
Substitute in known values and solve for b:
[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]
Therefore, a=1, b=3, and c=2.
Hence, our quadratic function is:
[tex]f(x)=x^2+3x+2[/tex]
given 2x +8y=16, find the x- and y- intercepts
Answer:
y-intercept: 2
x-intercept: 8
Step-by-step explanation:
I just graphed it into desmos. Wherever it crossed the axis, it's the answer.
Write a linear function f with the values f(0)=−3 and f(7)=11.
Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent
Answer:
Step-by-step explanation:
If the price after the discount is subtracted is $96.25 then this is what you do
u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75
but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25
The original price of the tire that Gary would have paid had it not been for the discount is $160.42
Gary spent $96.25 on a new tire but this tire had been discounted by 40%.
This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:
x - (x × 40%) = 96.25
x - 0.4x = 96.25
0.6x = 96.25
x = 96.25 / 0.6
x = $160.42
In conclusion, the original price was $160.42.
Find out more at https://brainly.com/question/2393942.
ANSWER QUICK FOR BRAINIEST: When using scientific notation, a positive exponent means . . . the standard number is less than one the negative sign doesn't have a meaning None of the above the standard number is greater than one
Answer:
The standard number is greater than one. Negative means it's going to be .xxx
Answer:
Ste scientific notation, a positivep-by-step explanation:
Witch fraction is not in simplest form 5/15 or 5/12
If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°
Answer:
92.5 and 27.2 and 65.3 will be the answer.
From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?
A box has 39kg mass? the surfcae are of the box
has 150m. calculate the pressure exterted by the box on the floor
Answer:
2.548 pascal
Step-by-step explanation:
force=mass×acceleration due to gravity
force=39×9.8
pressure(p)=force/area
p=382.2/150
p=2.548 pa
What is the value of x?
1. 142
2. 71
3. 152
4. 76
Answer:
142
Step-by-step explanation:
To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.
What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP
Answer: 0.31
Step-by-step explanation:
Simple division.
Answer
the Answer is 12
Step-by-step explanation:
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.
Which expression represents the total cost of all of the pizzas they order?
Answer:
t = 8c + 12P
Step-by-step explanation:
We are told that cheese pizza(c) costs eight dollars.
This means for c number of cheese pizzas, cost is $8c
Also, we are told that cost of pepperoni pizza is $12 each.
So, for P number of pepperoni pizzas, the cost is $12P
Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.
Thus;
t = 8c + 12P
Write an
equation for the line in the given form.
slope is -3 and (6,8) is on the line; standard form
Yo
Answer:
Step-by-step explanation:
Negative3 is6,8
Answer:
Negative3 is6,8
Step-by-step explanation:
i know it
The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?
The constant of proportionality is 5.5
Step-by-step explanation:
y = kx
k = constant of proportionality
y = 5.5x
Answer:
d
Step-by-step explanation:
I am stuck here, please help :(
Answers:
7 i think.
Step-by-step explanation:
A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation
Answer:
Step-by-step explanation:
Multiply the members of the revenue equation by 2:
system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29
Three linear equations in three unknowns. Solve.
Write an equation in Point Slope Form that has a slope
of -2 and passes through the point (5,7)
Answer:
y-7=-2(x-5)
Step-by-step explanation:
point slope equation is y - y1=m(x-x1). so input the slope (m) and the point (x,y) into y1 and x1
When Charlotte left her house this morning, her cell phone was 30% charged and it
then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in
terms of t, representing the charge remaining in Charlotte's battery, as a percentage,
t hours after Charlotte left her house.
Answer:
B = 32.5 - 2.5tStep-by-step explanation:
Let the initial percentage to be 30%
If it started to loose 2.5% every hour where;
t represents the time after Charlotte left her house
The amount of percent remaining every hour will form an arithmetic sequence as shown;
30, (30-2.5), (30-5.0),...
30, 27.5, 25.0...
Using the nth term for calculating an arithmetic sequence
B = a + (t-1)d
a is the first term = 30
d is the common difference = 27.5-30 = 25-27.5 = -2.5
t is the time
Substitute the given values into the formula;
B = 30 + (t-1)(-2.5)
B = 30+(-2.5t+2.5)
B = 30-2.5t+2.5
B = 32.5 - 2.5t
Hence equation for B, in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house is B = 32.5 - 2.5t
Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X
Answer:
a. 12 mice
b. 8 mice
c. (X + 2) mice
Step-by-step explanation:
Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.
Supply needed = N + L + 2
= 2N + 2 (∵ N = L)
So that:
Number of mice needed = N + 2
a. When the number of snake is 10, the number of mice needed would be:
Number of mice needed = 10 + 2
= 12
Number of mice needed is 12.
b. When the number of snake is 6, the number of mice needed would be:
Number of mice needed = 6 + 2
= 8
Number of mice needed is 8.
c. When the number of snake is X, the number of mice needed would be:
Number of mice needed = X + 2
Pls help me find the slope
Y(-5,0), Z(-2,-4)
Answer:
-4 / 3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -0)/( -2 - -5)
( -4 -0)/( -2 +5)
-4 / 3
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Y (-5, 0)
Z (-2, -4)
Step 2: Find slope m
Substitute: [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add: [tex]m=\frac{-4}{3}[/tex]Determine weather the triangles a are similar
Answer:
Step-by-step explanation:
Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. The
interest that you earned in those 3 years is $39.60. Which of the following is/are true?
1 = 3
r=3.3%
p = 400
t = 39.60
Help me please
Answer:
Step-by-step explanation:
Given parameters:
Principal = $400
Time = 3years
Interest rate = 3.3%
Interest = $39.60
Now let us verify;
I = interest
r = rate
p = principal
t = time
i = 3 incorrect, interest is $39.60
r=3.3% Correct, rate is 3.3%
p = 400 Correct, principal is 400
t = 39.60 Incorrect, time is 3years
Find x and the lengths of sides JM, MN, and JN. Triangle JMN is an isosceles triangle with side JM ≅ side MN. JM = 2x - 5, MN = 3x -9, and JN = x - 2.
Answer:
x = 4
JM ≅ MN = 3
JN = 2
Step-by-step explanation:
In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN
Given
JM = 2x - 5
MN = 3x -9, and
JN = x - 2.
Since JM≅ MN then;
2x - 5 = 3x-9
Collect like terms;
2x-3x = -9+5
-x = -4
multiply both sides ny -1;
-(-x) = -(-4)
x = 4
For side JM;
JM = 2x-5
JM = 2(4)-5
JM = 8-5
JM = 3
Since JM ≅ side MN, hence;
MN = 3
For side JN;
JN = x-2
JN = 4-2
JN = 2
Answer:
good job
Step-by-step explanation:
Parallel, Perpendicular or neither
Y=-2/5x+3 Y=2/5x+8
Answer:
Perpendicular
Step-by-step explanation:
The slopes are the same except one is negative therefore they are perpendicular
Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. /En qué piso se quedó
Answer:
8th floor
Step-by-step explanation:
Because he went up twice
1/4 kilometer in 1/3 hour?
Answer:
That means it will take you 1 and 1/3 hour to go a kilometer.
Help me, please !!!!
What is this one for factor to this?
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answer:
the 3rd istansa ha?
Step-by-step explanation:
Sana maka tulong