Answer:
I believe it's A) 302.94
Step-by-step explanation:
There are 360 degrees in a circle. So I enetered 360/112 in a calculator and got 3.214.
Then I multiplied 3.214 by 30pi and got 302.939 AKA 302.94. I did this because I looked at it like a ratio problem but idk if thats correct.
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 34,560(1.08)x y = 34,560(0.08)x
Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
Answer:
A
Step-by-step explanation:
on edge 2020
Plz help ASAP!! WILL MARK BRAINLIST for the correct answer
The table represents a function because each input (x-value) corresponds to exactly one output (y-value)
If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.
Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.
Answer:
No idea dude
Step-by-step explanation:
I just need points
Can someone please help me with this question? The y is throwing me off.
x = 21
y = 8
=========================================================
Explanation:
Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.
Let's solve for x.
The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.
So,
(10x-61) + (x+10) = 180
10x-61 + x+10 = 180
11x - 51 = 180
11x-51+51 = 180+51 .... adding 51 to both sides
11x = 231
11x/11 = 231/11 .... dividing both sides by 11
x = 21
Since x = 21, the upper right angle (10x-61) is equal to
10x-61 = 10*21-61 = 210-61 = 149
-------------
We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent
18y+5 = 149
18y+5-5 = 149-5 ... subtracting 5 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
--------------
Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that
(18y+5)+(x+10) = 180
18y+5 + x+10 = 180
18y+5+21+10 = 180 .... plug in x = 21
18y+36 = 180
18y+36-36 = 180-36 ... subtract 36 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
We get the same result.
--------------
As a check, plugging y = 8 into 18y+5 should lead to 149
18y+5 = 18*8+5 = 144+5 = 149
This confirms the y value answer
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3
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2.5
1. The scale factor of the dilation that takes P to Qis
2. The scale factor of the dilation that takes to Pis
Blank 1:
Blank 2:
Helppppp!!
Answer:
a. 1.25
b . 0.8
Step-by-step explanation:
This is a question in scale factors
a. The sable factor that takes P to Q
In P, we are having sides 4, 2 and 3
In Q, we are having sides 2.5 and 5
From the diagrams and using the similar sides, we can see that the side length 4 became 5 while the side length 2 became 2.5
So the scale factor would be;
4 * x = 5
or
2 * x = 2.5
Where x is that dilation factor that transformed 4 into 5
Thus, x would be 5/4 or 2.5/2 = 1.25
b. The scale factor that takes Q to P
This is the direct opposite of what we have in the first question.
Here, we want to go from Q to P
To get this, we simply divide what we have in P by what we had in Q
Hence, what we do here is;
2/2.5 or 4/5 = 0.8
Maria cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of fabric did she cut?
Answer:
2.5 Yards
Step-by-step explanation:
Multiply 5/8 by 4
Show that (-3/5*2/3)-(-3/5*5/6)=-3/5*(2/3-5/6)
Answer:
1/10=1/10
Step-by-step explanation:
(-3/5*2/3)-(-3/5*5/6)=-3/5*(2/3-5/6)
(-2/5)-(-1/2)=-3/5*(4-5/6)
-2/5+1/2=-3/5*(-1/6)=
-4+5/10=1/10
1/10=1/10
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a (4 points)
Answer:
Quadrilateral ABCD is a SQUARE
Step-by-step explanation:
When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.
√(x2 - x1)² + (y2 - y1)²
A (3, 1), B (4, 4), C (7, 5), D (6, 2)
Side AB = A (3, 1), B (4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 3)² + (4 - 1)²
= √1² + 3²
= √1 + 9
= √10
Side BC = B (4, 4), C (7, 5)
√(x2 - x1)² + (y2 - y1)²
= √(7 - 4)² + (5 - 4)²
= √3² + 1²
= √9 + 1
= √10
Side CD = C (7, 5), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 7)² + (2 - 5)²
= √(-1) ² + (-3)²
= √1 + 9
= √10
Side AD = A (3, 1), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 3)² + (2 - 1)²
= √3² + 1²
= √9 + 1
= √10
From the above calculation,
Side AB = √10
Side BC = √10
Side CD = √10
Side AD = √10
Hence, AB = BC = CD = AD
When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.
Therefore, Quadrilateral ABCD is a SQUARE
What is the area of this figure?
9 mi
5 mi
8 mi
6 mi
3 mi
3 mi
Answer:
54 square miles
Step-by-step explanation:
The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.
Find the marked angle P
Answer:
the answer is (d) 57°
Step-by-step explanation:
since it's a straight angle it equals to 180°
you divide 180° from 123°
Verify the identity. cos quanity x plus pi divided by two = -sin x
Answer:
see below
Step-by-step explanation:
cos ( x+pi/2) = -sinx
We know that
cos(A + B) = cos A cos B - sin A sin B
Let x = A and pi/2 = B
cos x cos pi/2 - sin x sin pi/2 = -sin x
We know cos pi/2 = 0 and sin pi/2 = 1
cos x * 0 - sin x *1 = -sin x
- sin x = - sin x
Find the 2nd term in the sequence. Will give Brainliest.
Answer:
17
Step-by-step explanation:
b(1) = 16
b(2) = b(2-1) +1
= b(1) +1
= 16+1
= 17
What is 100,000+4,000+800+5 in standard form
Answer: 104,805
Step-by-step explanation:
just add
Answer:
104,805
Step-by-step explanation:
add it in each placement form
Bias can _____ be completely eliminated. a) always b)sometimes c) never
Answer:
the answer is c.
Step-by-step explanation:
c is the only reasonable option.
If x = -12, y = -3; find xy² ?
Find the value of xy².
Solution:-xy²
★ Substituting the values of x and y ,we get :
⇒ -12 × ( -3 )²
⇒ -12 × 9
⇒ -108
Lilianna uses \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 +1)=12 4 1 d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked
The Variable d in the equation represents the time per minute Lilianna spends walking to the park
VariableCalories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4The equation:
d(3/4 + 1) = 12 1/4
d(3+4/4) = 12 1/4
d(7/4) = 49/4
d = 49/4 ÷ 7/4
= 49/4 × 4/7
= 49/7
d = 7
Complete question:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
Learn more about variable:
https://brainly.com/question/11885867
#SPJ1
Use the rule "add 2" to create a sequence of 5 numbers starting with 8.
Answer:
8 10 12 14 16
Step-by-step explanation:
8+2=10, 10+2=12, 12+2=14, 14+2=16
need help with my hw make H the subject of the formula x = 5h + 8
Answer:
h = (x - 8)/5
Step-by-step explanation:
Step 1: Write out expression
x = 5h + 8
Step 2: Isolate variable h (Subtract 8 on both sides)
x - 8 = 5h
Step 3: Isolate h (Divide both sides by 5)
(x - 8)/5 = h
Step 4: Rewrite
h = (x - 8)/5
What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
Answer:
a21 = -61
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]-19=a_{1}+(7-1)d[/tex]
[tex]-28=a_{1}+(10-1)d[/tex] (subtract to eliminate a₁)
9 = -3d
d = -3
-19 = a₁ + (6)(-3)
-1 = a
a21 = -1 + (21 - 1)(-3)
= -61
Answer:
-61 (Answer D)
Step-by-step explanation:
The general formula for an arithmetic sequence with common difference d and first term a(1) is
a(n) = a(1) + d(n - 1)
Therefore, a(7) = -19 = a(1) + d(7 - 1), or a(7) = a(1) + d(6) = -19
and a(10) = a(1) + d(10 - 1) = -28, or a(1) + d(10 - 1) = -28
Solving the first equation a(1) + d(6) = -19 for a(1) yields a(1) = -19 - 6d. We substitute this result for a(1) in the second equation:
-19 - 6d + 9d = -28. Grouping like terms together, we get:
3d = -9, and so d = -3.
Going back to an earlier result: a(1) = -19 - 6d.
Here, a(1) = -19 - 6(-3), or a(1) = -1.
Then the formula specifically for this case is a(n) = -1 - 3(n - 1)
and so a(21) = -1 - 3(20) = -61 (Answer D)
please help!!! which of these illustrates the associative property of multiplication?
Answer:
B
Step-by-step explanation:
The association property of multiplication states that if we have three numbers such as:
[tex]a\cdot b\cdot c[/tex]
Then the order of parentheses will not matter. In other words:
[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]
For instance:
[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]
For the choices, it must have at least three terms. Thus, eliminate A.
It must also have parentheses. Eliminate D.
Choice C represents the distributive property, where you distribute a factor into the expression.
Thus, the correct answer is choice B.
And as previously mentioned, the order of the parentheses does not make the product any different.
[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]
Answer:
The correct answer choice is B.
Step-by-step explanation:
The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!
B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.
C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.
Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.
Let me know if you need more elaboration!
for the answer: The florist needs at least 1/3 gallons of nutrient rich water for each bushel of flowers he buys. If w is the gallons of water and f is the bushels of flowers, then:
w≥1/3f
I don't understand how you derive this equation.
Answer:
see below
Step-by-step explanation:
The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.
Give another name plane L
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
Which expression converts 100 inches per minute to feet per minute?
Answer:
C 100 inches/ minute * 1 ft/ 12 inches
Step-by-step explanation:
100 inches/ minute
We need to convert inches to ft
12 inches = 1 ft
100 inches/ minute * 1 ft/ 12 inches
Find the measure of KM¯¯¯¯¯¯¯¯¯¯.
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 7+x+2) * 7 = ( 6+8) * 6
Combine like terms
(9+x) *7 = 14*6
Distribute
63 +7x = 84
Subtract 63
63 +7x -63 = 84-63
7x =21
Divide by 7
7x/7 = 21/7
x = 3
KM = x+2+7
= 3+2+7
=12
Answer:
[tex]\huge\boxed{KM = 11}[/tex]
Step-by-step explanation:
According to secant - secant theorem:
(MK)(ML) = (MR)(MN)
Where
MK = 7 + x+ 2 = x + 9
ML = 7
MR = 8 + 6 = 14
MN = 6
=> (x+9)(7)= (14)(6)
=> 7x + 63 = 84
Subtracting both sides by 63
=> 7x = 84 - 63
=> 7x = 21
Dividing both sides by 7
=> x = 3
Now,
KM = x + 9
KM = 3 + 9
KM = 11
If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2
what is the equation of the new function?
Answer: [tex]y=\dfrac12 x[/tex] .
Step-by-step explanation:
We know that [tex]a f (x)[/tex] compresses f(x) vertically such that
if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.if a > 1, the graph is stretched vertically by a factor of a units.If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].
Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .
i.e. [tex]y=\dfrac12 x[/tex] .
rationalise the following 1/√7
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]1\sqrt{7}[/tex]
[tex]= \frac{1}{7} \sqrt{7}[/tex] (Decimal: 0.377964)
OR
[tex]\frac{1}{\sqrt{7} }[/tex]
[tex]= \frac{1}{\sqrt{7} } X \frac{\sqrt{7} }{\sqrt{7} }[/tex]
[tex]= \frac{\sqrt{7} }{(\sqrt{7})^{2} }[/tex]
[tex]= \frac{\sqrt{7} }{\sqrt{7} }[/tex]
I don't really know because both of them seem right..
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
Which transformations to the graph of j(x) would result in the graph of j(4x)-27
Answer:
Composition and vertical translation must be done in the parent function.
Step-by-step explanation:
Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:
Composition
[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]
Vertical translation
[tex]g(x) = j(4\cdot x) -27[/tex]
Composition and vertical translation must be done in the parent function.
Answer: Option D
Horizontal compression by a factor of 1/4, and a translation 27 units down
In the Rhombus, m<3=80. Find m<2
160
80
50
40
==============================================
Explanation:
The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).
Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.
x+x+80 = 180
2x+80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
Angle 1 is therefore 50 degrees.
Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.
Answer:
m<2 = m<1 = 50°
Step-by-step explanation:
In a Rhombus, Diagonals intersect at 90° as well bisect angles.
Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.
m<1 = m<2 = 50°
The graph below represents which of the following functions?
Answer:
Option (B).
Step-by-step explanation:
From the figure attached,
There are two pieces of the function defined by the graph.
1). Curve with the domain (-∞, 2)
2). Straight line with domain (2, ∞)
1). Function that defines the curve for x < 2,
f(x) = |4 - x²|
2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]
f(x) = x
Therefore, Option (B) will be the answer.
372 to the nearest 100
Answer: 400
Explanation: To round 372 to the nearest hundred, we first find the digit in the rounding place which in this case is the 3 in the hundreds place.
To decide whether to round up or down, we look
at the digit to the right of the 3, which is 7.
According to the rules of rounding, if the digit to the right of the
rounding place is greater than or equal to 5, we round up.
So in this problem, since 7 is greater than or equal to 5, we round up.
This means that we add 1 to the 3 in the rounding place
to get 4 and all digits to the right of 4 become 0.
So 372 rounded to the nearest hundred is 400.
If 4th term of an AP is 0. Prove that 25th term is triple the 11th term
Answer:
The 4th term = a+3d = 0,
or a = -3d.
The 25th term = a+24d = -3d+24d = 21d. ...
the 25th term is 3 times the 11th term. Proved.
Answer:
a^25 = 3 x a^11 .
Step-by-step explanation:
Given a^4 = 0
That is (a + 3d) = 0
⇒ a = - 3d ........... (1)
nth term of AP is given by an = a + (n – 1)d
a^11 = a + 10d = – 3d + 10d = 7d [From (1)]
a^25 = a+ 24d = – 3d + 24d = 21d [From (1)]
Hence
The answer is a^25=3 x a^11