Answer:
A) d = [tex]\frac{C}{\pi}[/tex]
B) d = [tex]\frac{8}{\pi}[/tex] or 2.55 inches
C) r = 3 inches
Step-by-step explanation:
Given the formula for the circumference of a circle, C = πd, where d represents the diameter of a circle.
A. solve the formula for d.In order to solve for d, divide both sides of the equation by π:
[tex]\frac{C}{\pi} = \frac{\pi d }{\pi}[/tex]
d = [tex]\frac{C}{\pi}[/tex].
B. The circumference of a circle is 8 inches. What is the diameter of the circle?Given the circumference of the circle, C = 8 inches:
Use the formula for the diameter of the circle from part A of this post.
d = [tex]\frac{C}{\pi}[/tex]
d = [tex]\frac{8}{\pi}[/tex] or 2.55 inches.
C. The circumference of the circle is 6π inches. what is the radius of the circle.Since the diameter of a circle is the same as twice the measure of the radius, r: d = 2 × r
Then, we can rewrite the formula for the circumference of a circle as:
C = 2πr
Divide both sides by 2π to isolate r :
[tex]\frac{C}{2\pi } = \frac{2\pi r}{2\pi }[/tex]
r = [tex]\frac{C}{2\pi }[/tex]
Given the circumference of a circle, C = 6π:
[tex]r = \frac{6\pi }{2\pi } = 3[/tex]
Therefore, the radius of the circle is 3 inches.
The students in Mrs. Brown's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
10, 14, 7, 7, 6, 12, 6
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
mean:
median:
Answer:
it takes me 14 minutes to go to class
Please answer
Who is wrong and why
Answer:
Michaels' proof is wrong. His second point says that ∠AKG ≈ ∠AKL with the Vertical Angles Theorem as his justification, which is incorrect. Angles AKG and AKL are not vertically opposing angles, but they form a linear pair, so in this case, Daniels's proof is correct.
Step-by-step explanation:
Please correct me if I'm wrong :)
what is the area of the trapizeum
(first base + second base)x height ÷ 2
How do I solve h(x)=2x+5;find h(2)
Step-by-step explanation:
hrer do it this way
it is correct
Proportions
Rectangular Prism
I'm decreasing the rectangular prism
H= 10
W=13.7
L: 16.6
scale: 1/4
ratios: 2:3
PLEASE I BEG ANYONE WHO SEES THIS QUESTION TO PLEASE HELP ME TO PLEASE GIVING A CORRECT ANSWERS OR CHOICES PLEASE I'LL GIVE 50 POINTS!!!!!!!!!
Hi I really need help with this problem please.
Correct answers only
the choices are:
equal to
1 greater than
1 less than
2 greater than
2 less than
3 greater than
3 less than
Answer:
The maximum value of g(x) is 3 greater than the maximum value of f(x).
Step-by-step explanation:
Quadratic Function: Definitions:The function modeled by the equation, f(x) = - (x - 3)² + 9, represents a quadratic function in vertex form.
The vertex form is given by: f(x) = a(x - h)² + k, where:
⇒ The value of a is the vertical compression or stretch factor, which essentially determines the width of a parabola. The value of a also determines where the graph of a parabola opens:
a > 1: graph opens up; a < 1, graph opens down.⇒ (h, k) = Vertex of the parabola.
Given these definitions, we can assume the following information regarding the quadratic function, f(x) = - (x - 3)² + 9:
The vertex occurs at point, (3, 9).The graph opens down because a = -1. Therefore, the vertex is the maximum point of the graph.Absolute Value Function: Definitions:
The vertex form of an absolute value function is given by: g(x) = a|x - h| + k, where:
⇒ The value of a determines the following:
|a| > 1 represents the vertical stretch of the graph. 0 < |a| < 1 represents the vertical compression or shrink of the graph. a < 0 represents the reflection across the x-axis.⇒ (h, k) = Vertex of the absolute value function.
⇒ x = h represents the axis of symmetry.
The axis of symmetry is the imaginary point on the graph that intersects through the h-coordinate of the vertex, thereby dividing the graph into two symmetrical parts.
Observing the given table of values, especially how the y-values increasingly peak towards g(x) = 12, then decreases back down starting at g(x) = 8. It is important to take notice of the y-values, as it represents the resulting output provided by the given input (x-value).
The increasing, followed by the decreasing y-values imply that the graph must be facing downward. Since we specified that the maximum point provided by g(x) = 12, then it means that it is the vertex occurs at point, (1, 12).
Compare the vertices of f(x) and g(x):The vertex of the quadratic function, f(x) = (3, 9). The vertex of the absolute value function, g(x) = (1, 12). The basis of comparing the minimum or maximum value of a graph is the output, or the y-value. The difference between the maximum values of g(x) and f(x) = 3.
Therefore, the maximum value of g(x) is 3 greater than the maximum value of f(x).
am i correct ?? for a brainly and pls explain
Answer:
Yes.
Step-by-step explanation:
Because
6*4 =24
and 4*0 = 0,
24+0=24
have a nice day!!!
50PTS PLZ HELP ME I'M STUCK
Answer:
m∠O = 80°
Step-by-step explanation:
m∠O = 4x - 20
m∠Q = 3x + 5
m∠O and m∠Q are congruent
4x - 20 = 3x + 5
Solve for x = 25
Plug back in
m∠O = 4(25) - 20
m∠O = 100 - 20
m∠O = 80°
At the dog park, there were dogs running around. Just for fun, Tessie counted all legs, ears, and tails getting a total sum of 168. How many dogs did Tessie see in the park?
Answer:
24 dogsStep-by-step explanation:
Each dog has 4 legs, 2 ears and 1 tail, total of 7.
Number of dogs:
168 / 7 = 24HELPP YALL! I WILL MARK BRAINIEST!! LOOK AT THE PICTURE!!
Answer:
Slope of the parrelel line: -2/3x
Slope of the perpendicular line: 3/2x
Step-by-step explanation:
Lets first put this into slope intercept form:
y = mx + b
9y = -6x - 1
y = -2/3x = 1/9
So our slope is -2/3x
If we have a line parrelel to this, it means it has the exact same slope, but a different b value.
So the slope of this parellel line would also be -2/3x
Next we need to find the slope of the perpendicular line.
This is the exact opposite of our slope.
To find this, lets first understand our slope.
Our slope is the change in y over the change in x:
Δy/Δx
A perpendicular line is going to be the flipped, and negative of this.
You can think of a perpendicular line being:
-Δx/Δy
Since our slope is -2/3x
Our perpendicular line would be 3/2x
So our answer for the second question is 3/2x
Useful things to remember:
Slope of a line: Δy/ΔxSlope of a parrelel line: Δy/ΔxSlope of a perpendicular line: -Δx/ΔyHope this helps!
The highest temperature ever recorded on Earth was 136F in Libya. The lowest temperature was -129F in Antarctica. What is the difference of the highest and lowest temperatures on Earth?
A. 7F
B. 107F
C. 165F
D. 265F
Answer:
it's D. 265F
Step-by-step explanation:
subtract 136 by -129 and you get 265
For a fundraiser, a school club is selling raffle tickets for $2 each and healthy snacks for $1.50 each. What is the total cost of y raffle tickets and x healthy snacks?
Answer:
1.5x+2y=total cost
Step-by-step explanation:
Which of the following tables does not represent a function?
x y
-1 1
-2 1
-3 1
x y
-5 1
-5 -2
-5 -5
x y
-4 0
2 0
5 7
x y
-5 1
-3 -2
-1 -5
Answer:
The second table with all values of x = -5 does not represent a function. what the function and input value of x will return one and only one value for y. and this table when you input a value for x of -5 you get three different values therefore this table does not represent a function
Answer:
Step-by-step explanation:
The table
x y
-5 1
-5 -2
-5 -5
does not represent a function, because for the same input (-5) there are 3 different outputs.
Compare this to the table
x y
-5 1
-3 -2
-1 -5
in which all the inputs (x values) are unique (one of a kind) and each input has exactly one output (y value) connected to it.
(-9,6) and (-3,2) help pls
(-9,6) and (-3,2) help pls
Answer : -12.8
On Tuesday a shirt cost $30 . On Wednesday the shirt was increased by 20% . What was the new price of the shirt
Answer:
36
Step-by-step explanation:
30+20%=36
DWhen rolling a cube with faces numbered 1-6 and flipping a far coin, what is the probability of rolling a number 5, and the coin landing heads up?
Answer:
0.6 recurring or 2/3
Step-by-step explanation:
1/6 plus 1/2 = 2/3
PLEASE HELP ASAP!!!!!
Answer:
x = 7
Step-by-step explanation:
The sum of exterior angles in a polygon is 360°.
( 11x - 5 )° + ( 4x + 29 )° + ( 6x + 13 )° + ( 9x - 15 )° + 67° + 61° = 360°
30x + 22 + 128 = 360
30x = 210
x = 7
Help please I really need it
Answer:
d
Step-by-step explanation:
do 6 times 6
find the value of y when x = 16.
y=9 when x=8
Answer:When x=16 , y=36 . Explanation: If y varies directly as x , then if y increases, x increases, and if y decreases, x decreases.
Step-by-step explanation: because
How many video games were sold in the year 2001
Answer:
265
Step-by-step explanation:
you only need to do is simplify the expression.
Find the value of x that makes lines u and y parallel.
Answer:
x = 7
Step-by-step explanation:
If u // v, then
19x - 3 = 130 {Corresponding angles are congruent}
19x = 130 + 3
19x = 133
x = 133/19
x = 7
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.
Step-by-step explanation:
3(100)2 + 17(100) - 203(10000) + 1700 - 20
30000 + 1700 - 20
31680
Vincent has $700 in a savings account. the interest rate is 14% per year and is not compounded. how much will he have in total in 4 years ?
Answer:
He will have $1092 in 4 years.
Step-by-step explanation:
700 x 0.14 = 98
98 x 4 = 392
700 + 392 = 1092
in 12 minutes max made 35 paper airplanes at the same rate how long would it take him to make 140 airplanes?
Answer:
Step-by-step explanation:
It will take 48 minutes to make 140 airplanes. 35 × 4 = 140 airplanes. So take 12 × 4 = 48 minutes.
Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.
show your work.
Answer:
1014
Step-by-step explanation:
Remember this formula to find certain terms in arithmetic sequences:
[tex]t_{n} =t_{1} +(n-1)d[/tex]
n = term number
[tex]t_{1}[/tex] = term #1
d = common difference
Sequence = 24, 34, 44, 54...
We are looking for term #100
So we do
[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]
for which value of s does the solution of the initial value problem
Bill’s Bait and Tackle is selling minows and worms. The minows are $5 per bag and the worms are $7 per bag. Bill sells 220 total bags and made $1250 total. How many bags of minnows and worms did he sell?
Bran Crunch regularly costs $3.00 a bos and is now on sale $2.25.Fruit and Oat Cereal is regularly $5.00 and is on sale for $4.00.Which cereal is giving the better percentage saving?.
Answer:
The three dollar
Step-by-step explanation:
for the three dollar one its 25% off and the 5 dollar one is 20% off
independent practice write linear equations lesson 6
Answer:
1)y=2x+7
2) unsure what the question is due to blur
3)y=3/4x-2
4)y=-2x
Answer:
Step-by-step explanation:
1) (1,9) ; slope = 2
Point slope form:
y - y₁ = m(x - x₁)
y - 9 = 2(x - 1)
Slope intercept form:
y - 9 = 2x - 2
y = 2x - 2 + 9
y = 2x + 7
3) (-4 , -5) ; slope = 3/5
Point slope form:
y - y₁ = m(x - x₁)
[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]
Slope intercept form:
[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]
Determine if the leading coefficient of the following function is positive or negative and whether the function has a minimum or maximum vertex point.
Answer:
The leading coefficient of the function shown is negative and the function shown has a maximum vertex point.
Step-by-step explanation:
The leading coefficient is the term with the highest degree in a polynomial.
For example in 4x² + 3x + 1 the leading coefficient would be 4x² as 4x² is the term with the highest degree.
The leading coefficient tells us whether the equation, when graphed, will rise or fall.
If the leading coefficient is negative then the equation will fall when graphed, in contrast if the leading coefficient is positive the equation will rise when graphed.
Looking at the graph, it appears that the equation is falling, meaning that the leading coefficient must be negative.
If the equation falls then it has a maximum point, if it rises then it has a minimum point.
Because the equation shown falls it will have a maximum point.
