Answer:
A
Step-by-step explanation:
If 50 is the diameter that thr radius is 25 and the equation to find the area of a circle is pi(r^2). So you would do pi(25^2) and that is 1963
In the ordered pair (2, 7), the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
The horizontal axis in a coordinate plane is the x-axis.
The horizontal axis in a coordinate plane is the x-axis. – The horizontal axis in a coordinate plane is the x-axis.
The y-axis is also called the origin.
Answer:
The origin is at (0,0) its where the x and y coordinate intersect.
Step-by-step explanation:
what was the question here?
2 Which equation represents the relationship
shown in the table below?
(8.5A)
9
AW
3
4
5
10
7
16
11
28
22
Ay
A y = 6x + 3
B y = 3x - 5
C y = (x - 5
D y = 3x + 3
Answer:
3x - 5 fits the equation perfectly
Step-by-step explanation:
if we put the following value in X we get,
x processing y
3. 3*3 - 5. 4
5. 3*5 - 5. 10
7. 3*7 -5. 16
9. 3*9 - 5. 22
11. 3*11 - 5. 28
Which inequality describes the graph?
y ≥ 1/2x – 2
y < 1/2x – 2
y ≤1/2 x – 2
y >1/2 x – 2
[tex]y < \frac{1}{2} x - 2 \\ [/tex]
Have a great day ♡♡♡♡♡NO LINKS!!
The Odd Man Out!
PART 2:
For each set of figures below, three are similar (meaning that they are related through a sequence of transformations including dilation), and one is an exception. Find the exception in each set of figures and answer the questions for each set.
Answer:
a. exception: C; obtuse angle with a different measure
b. corresponding angles are congruent; corresponding sides are proportional
c. corresponding angles are congruent among the similar triangles; they are not congruent when the triangles are not similar
d. corresponding sides are porportional; they are not proportional when the triangles are not similar
Step-by-step explanation:
As you know, similar triangles have congruent corresponding angles, and proportional corresponding sides. This gives them the same shape, but they may be of differenent sizes.
__
a.Figure C appears to have a larger smallest angle and a smaller largest angle than the rest of the figures. Its long side relative to its second-longest side appears to be shorter, consistent with a smaller largest angle.
__
b.The similar triangles have congruent corresponding angles and proportional corresponding sides.
__
c.See (b) regarding similar triangles. Non-similar triangles have different angles.
__
d.See (b) regarding similar triangles. Non-similar triangles have different side proportions.
Determine each feature of the graph of the given function.
2x + 8
f(x) =
x² + x
x - 12
[tex]x=\frac{1+4f-\sqrt{16f^{2}+8f+25 } }{2}[/tex]
Which answer best describes the shape of this distribution?
bell-shaped
skewed left
uniform
skewed right
Answer:
Skewed right
Step-by-step explanation:
There is a 'tail' towards the right.
which of the following value, when multiplied by 2/3, results in a product that is greater than 2/3
a. 2/3
b 3/2
c 3/4
d 4/4
Answer:
b
Step-by-step explanation:
2/3 * 2/3 = 4/9
2/3 * 3/2 = 1
2/3 * 3/4 = 1/2
2/3 * 4/4 = 2/3
Find a polynomial of least possible degree having the graph shown
f(x)=0
The polynomial of least possible degree having the graph as given is; f(x) = x³-8x²+x +42.
Polynomial of least possible degreeIt follows from the graph that the roots of the polynomial are; -2, 3 and 7.
On this note, the factors of such polynomial are;
Hence; (x+2)(x-3)(x-7) = f(x)
f(x) = x³-8x²+x +42Read more on polynomials;
https://brainly.com/question/2833285
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is
prime". Let B be the event "the outcome is a divisor of 3". Find P(A|B).
Answer:
P(A|B) = 0.5
Step-by-step explanation:
A: set of prime numbers ={1,2,3}
B: set of divisors of 3 ={1,3}
P(A)=P(1)+P(2)+P(3)= 0.1+0.1+0.3 =0.5
P(B)=P(1)+P(3)=0.1+0.3=0.4
P(A|B) means: probability of A knowing that B
In other words we have to find the probability that a prime outcome occurs knowing that it is a divisor of 3
Its formula is given by:
P(A|B) = P(AintersectionB) /P(B)
A intersection B: outcome is prime and a divisor of 3 at the same time. (common elements between sets A and B)
A int B= {1,3}
P(AintB)= P(A)xP(B) = 0.5x0.4=0.2
Now back to the formula:
P(A|B) =P(AintB) / P(B)
=0.2/0.4=0.5
HOPE THIS HELPS :)
Identify the trinomial that is a perfect square.
A. 9x2 + 30x + 16
B. 16x2 + 20x + 9
C. 36x2 + 60x + 25
D. 4x2 + 30x + 25
Answer:
Option C, [tex]36x^2 + 60x + 25[/tex]
Step-by-step explanation:
Step 1: Determine the perfect square
According to online, "When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b)"
The only one that seems to work is Option C so lets factor it.
[tex]36x^2 + 60x + 25[/tex]
[tex](6x + 5)(6x + 5)[/tex]
[tex](6x + 5)^2[/tex]
Yup! We can see that Option C would give us a perfect square
Answer: Option C, [tex]36x^2 + 60x + 25[/tex]
Determine whether 2x+2y= -6 is a function?
Answer:
It's a function because when you simplify it becomes y=-x-3. the only reason it wouldn't be a function would be if the equation were to be x = a random number that is not a variable. The equation would not pass the vertical line test which is the requirement to see if an equation is a function.
Simply put, it's a function.
for the function f, use compisition of functions to show that f^-1 is a given.
let f(x)=(1+x)/x show that f^-1(x)=1/x-1
Step-by-step explanation:
If we have f(x) and it's inverse, and we compose them
we will get
[tex]f {}^{ - 1} (f(x) = x[/tex]
So here we compose
[tex]( \frac{1}{ \frac{1 + x}{x} - 1} )[/tex]
[tex]( \frac{1}{ \frac{1}{x} + 1 - 1} [/tex]
[tex] \frac{1}{ \frac{1}{x} } [/tex]
[tex]x [/tex]
So the composition is x, so they are inverses.
The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.
a. 10
c. 20
b. 5
d. 8
PLEASE HELP ASAP
Describe the rate of change modeled by this graph.
A) positive
B) negative
C) no change
D) a change that is undefined
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 15 inches high and had a radius of 2 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
Answer
91.67inch^3
Step-by-step explanation:
The volume of a cone can be calculated using below formula
V= 1/3 π.r^2h
Where h= height of the cone
r= radius of the cone
V= volume of the cone
Given :
height= 11 inches
radius= 5 inches
π= 3.14
Then substitute into the formula we have
V= 1/3 × 3.14× 5^2 ×11
V= 91.67inch^3
Therefore volume of the cone is 91.67inch^3
30 POINTS! Combine the like terms of the 2 questions below:
1. y + 4 + 3(y + 2)
2. 0.5(x⁴ - 3) + 12
Answer:
[tex]\tt 1)\: \boxed{\tt 4y+10}[/tex]
[tex]\tt 2)\:\boxed{\tt 0.5x^4+10.5}[/tex]
Step-by-step explanation:
1) y + 4 + 3(y + 2)
Expand:-
[tex]\tt y+4+3y+6[/tex]
Combine like terms:-
[tex]\tt y+3y+4+6[/tex]
[tex]\boxed{\tt 4y+10}[/tex]
__
2) 0.5(x⁴ - 3) + 12
Expand:-
[tex]\tt 0.5x^4-1.5+12[/tex]
Add/Subtract Numbers:-
[tex]\boxed{\tt 0.5x^4+10.5}[/tex]
___________________
Between what two whole numbers does your answer lie in 30/8?
Answer:
3 and 4
Step-by-step explanation:
30/8=3.75
3.75 lies between 3 and 4
Hey there!
30/8
= 30 ÷ 2 / 8 ÷ 2
= 15 / 4
≈ 3 3/4
≈ 3.75
It falls in between three (3) and four (4). But, fun fact it rounds to up to four (4)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
How do you write 158.1 as a decimal
Step-by-step explanation:
1.581 × 10² like this ? : )
16. Given that k is a real constant such that 0 < k < 1. Show that the roots of the equation kx2 + 2x + (1 – k) = 0, are С (i) Always real (ii) Always negative
Answer:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
Given equation: [tex]kx^2+2x+(1-k)=0[/tex]
[tex]\implies a=k,\:b=2,\:c=(1-k)[/tex]
[tex]\begin{aligned}\implies b^2-4ac & =(2)^2-4(k)(1-k)\\ & =4-4k(1-k)\\ & =4-4k+4k^2\\ & = 4k^2-4k+4 \end{aligned}[/tex]
Complete the square:
[tex]\begin{aligned}\implies 4k^2-4k+4 & =4(k^2-k+1)\\ & = 4\left[k^2-k+\left(\dfrac{-1}{2}\right)^2+1-\left(\dfrac{-1}{2}\right)^2\right]\\ & = 4\left[\left(k-\dfrac12\right)^2+\dfrac34\right]\\ & = 4\left(k-\dfrac12\right)^2+3\end{aligned}[/tex]
[tex]\textsf{As }\left(k-\dfrac12 \right)^2 \geq 0 \implies 4\left(k-\dfrac12 \right)^2+3\geq 3[/tex]
Therefore, the roots are always real.
find the product using suitable rearrangement (-18) multiply (-10) multiply 9
Answer:
1620
Step-by-step explanation:
(-18)×(-10)×9= 1620
i need help pls could you answer this?
Find the mean, median and mode of this data. Round to the nearest dollar if necessary.
Step-by-step explanation:
Median: 35000
Mean: 383333.33333333 (round it)
Mode: 10000, 20000, 30000, 40000, 200000, 2000000 (all the numbers)
Hexagon BCDEFG is shown below. Each square on the grid is a unit square. What is the area of the
hexagon in square units?
Answer:
B. 100 units
Step-by-step explanation:
What I did was I couunted the lines at the bottum and since it was 10 then I counted up and that was 10 so you would do 10x10 get 100 units.
45 POINTS!!!! HELP
A Ferris wheel at an amusement park is modeled by (x – 80)^2 + (y – 80)^2 = 5,625, where the measurements are in feet. A slingshot attraction is modeled by y = –3x^2 + 72x – 280. Which attraction reaches a greater height, and what does it represent in terms of the context?
A.The slingshot reaches a greater height at 280 feet, which is the vertex of the parabola.
B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.
C. The slingshot reaches a greater height at 152 feet, which is the vertex of the parabola.
D. The Ferris wheel reaches a greater height at 150 feet, which is the highest point on the circle.
Please help on math.
Answer:
832.5²
Step-by-step explanation:
Base x height ÷ 2 is the formula to find a triangles area.
45 x 37= 1665 then 1665 ÷ 2 = 832.5 dont forget to add the ²
Answer:
832.5²
Step-by-step explanation:
Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.
5
2.783
10.772
best answer of this equation is 10.772
Answer: 10.772
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
exact form:
x= 10 4/3
--------- (its a fraction)
2
decimal form: 10.77217345....
after that round to the nearest thousandth.
could someone please help me really quickly?
[tex]6x^2 +17x -3\\\\=6x^2 +18x-x-3\\ \\=6x(x+3)-(x+3)\\ \\=(x+3)(6x-1)\\\\\text{The length and width of the rectangle are}~ (6x-1)~ \text{and}~ (x+3)[/tex]
Answer:
[tex]\textsf{length}=6x - 1[/tex]
[tex]\textsf{width}=x+3[/tex]
Step-by-step explanation:
Area of a rectangle = length × width
Given area: [tex]A=6x^2+17x-3[/tex]
Therefore, [tex]6x^2+17x-3=\sf length \cdot width[/tex]
To find the length and width, we need to factorize the given expression for area.
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers (d and e) that multiply to ac and sum to bRewrite b as the sum of these 2 numbers: d + e = bFactorize the first two terms and the last two terms separately, then factor out the comment term.[tex]6x^2+17x-3 \implies a=6, b=17, c=-3[/tex]
[tex]ac=6 \cdot -3=-18[/tex]
[tex]d+e=17[/tex]
So we are looking for a pair of numbers that multiply to -18 and sum to 17.
Factors of 18: 1, 2, 3, 6, 9, 18
Therefore, the two numbers (d and e) that multiply to -18 and sum to 17 are:
18 and -1
Rewrite [tex]17x[/tex] as [tex]+18x-x[/tex]:
[tex]\implies 6x^2+18x-x-3[/tex]
Factor first two terms and last two terms separately:
[tex]\implies 6x(x+3)-1(x+3)[/tex]
Factor out common term [tex](x+3)[/tex]:
[tex]\implies (6x-1)(x+3)[/tex]
As length > width,
[tex]\textsf{length}=6x - 1[/tex]
[tex]\textsf{width}=x+3[/tex]
I can only manage to get 3/4 and i know i got the answer right so can someone please help me?
Answer:
See below.
Step-by-step explanation:
A(1, 4)
B(3, 0)
C(-3, -2)
We find the coordinates of he midpoints using the midpioint formula.
D([1 + 3]/2, [4 + 0]/2) = D(2, 2)
E([1 + (-3)]/2, [4 + (-2)]/2) = E(-1, 1)
We find the slopes using the slope formula.
slope of BC:
m_BC = (-2 - 0)/(-3 - 3) = -2/(-6) = 1/3
slope of DE:
m_DE = (1 - 2)/(-1 - 2) = -1/(-3) = 1/3
Since the slopes of BC and DE are equal, the lines are parallel.
Dwayne bought 12 yards of wrapping paper.
How many inches of wrapping paper did he buy?
since there are 36 inches in 1 yard, 12 yards will have 12(36) = 432 inches.
find the amount of hydrogen in a liter of acid rain that has a pH of 5.5 math
To calculate hydronium concentration from pH, type on you calculator
10 to the power of negative pH value
10^-5.5 = 3•10^6 mol/L
Since there are 3 hydrogens in every hydronium molecule,
There are 9 • 10^6 hydrogens in that liter of acid.
The ratio of girls to boys in the sixth grade class is seven to six. If there are 84 girls, how many boys are in the sixth grade?
Answer:
72
Step-by-step explanation:
84/7 = 12
12 × 6 = 72
84 to 72
Answer:
72
Step-by-step explanation:
divide 84 by 7, and then multiply 12(what you got from the division) by 6 and you get 72