Answer: 9 feet.
Step-by-step explanation: The formula to convert inches to feet is to divide the amount in inches by 12. 108/12 = 9.
(Q7) Solve the inequality graphically.
3^-x > 6^-x
Answer:
C
Step-by-step explanation:
We will graph [tex]3^{-x}[/tex] and [tex]6^{-x}[/tex] and find WHERE in the x-axis, [tex]3^{-x}[/tex] is greater than [tex]6^{-x}[/tex].
Attached is the graph of both the functions. RED color graph is of [tex]3^{-x}[/tex] and BLUE color graph is of [tex]6^{-x}[/tex].
So, WHICH WHERE IN X-AXIS IS THE RED GRAPH "ABOVE" THE BLUE GRAPH?
We can clearly see that this occurs when x > 0.
Hence, C is the correct answer.
Answer:
C edge
Step-by-step explanation:
Find the value of the variable that makes the statement true:
Answer:
m = 15.
Step-by-step explanation:
∛(3375) = 15.
You can use a calculator to do this. Some calculators have a direct key giving you a cube root or you can use the power key + 1/3 .
Note: ∛(3375) = 3375^(1/3).
Answer:
-5
Step-by-step explanation:
Edge 2020
A town has approximately 1000 homes the town Council is considering plans For future development plan a calls for an increase of 200 home per year Plan B calss for a 10% increase each year compare the plans
Final answer:
To compare Plan A's increase of 200 homes per year and Plan B's 10% increase per year for a town's housing development, Plan A adds homes linearly, while Plan B's growth is exponential, potentially leading to a larger increase and more significant infrastructure needs over time.
Explanation:
To compare the two growth plans for the town's development—which are Plan A, an increase of 200 homes per year, and Plan B, a 10% increase each year—we need to analyze the two scenarios mathematically.
Under Plan A, the town will add a fixed number of homes each year, that is, 200 homes. After one year, the total will be 1200 homes, after two years 1400 homes, and this pattern will continue linearly.
Plan B's 10% annual increase results in exponential growth. Starting with 1000 homes, in the first year, there will be 1000 + (10% of 1000) = 1100 homes. The second year, the growth will be based on the new total, so it will be 1100 + (10% of 1100) = 1210 homes, and this pattern will continue to result in an increasingly larger number of homes added each year.
In terms of the community's development, Plan A adds homes predictably and steadily, while Plan B accelerates growth over time. This could lead to a boom in construction and investment depending on the current needs and infrastructure of the town.
Plan B's compound growth could lead to a much larger number of homes in the long run, but might require more significant investment in infrastructure and services as the growth compounds.
Point Q lies on the circle and has an x-coordinate of 4.
Which value could be the y-coordinate for point Q?
2
4
2
8
The y coordinate of the point which lies on the circle is y = 2√5
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r = 6 units
The point on the circle is P ( x , y )
where the x coordinate is x = 4
So , the point is P ( 4 , y )
And , the equation of circle is given as
x² + y² = r²
On simplifying , we get
x² + y² = ( 6 )²
The point will lies on the circle , so
when x = 4
( 4 )² + y² = ( 6 )²
Subtracting ( 4 )² on both sides , we get
y² = 36 - 16
y² = 20
Taking square roots on both sides , we get
y = ±2√5
The point P lies in the first quadrant , so
y = 2√5
Hence , the y coordinate of the circle is y = 2√5
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Final answer:
Without a specific circle equation, it's impossible to definitively determine the correct y-coordinate for point Q on the circle with an x-coordinate of 4. Additional information such as the circle's center and radius is needed.
Explanation:
The question asks us to identify a possible y-coordinate value for a point Q that lies on a circle with an x-coordinate of 4. Using the information on parametric equations, Pythagorean theorem, and circle equations provided, we can infer that the circle equation might typically be in the form of (x - h)² + (y - k)² = r², where h and k are the coordinates of the center of the circle and r is the radius. However, without a specific equation for the circle in question, we cannot conclusively determine the y-coordinate that corresponds to an x-coordinate of 4 on this circle. Therefore, additional information is required to answer this question correctly.
Please answer this question only if you know it!
You're answer to the following question: "Which Point Must be the Centre of the Circle?" Is C
HOW DOES SIMILARITY DIFFER FROM CONGRUENCE? WHY DOES THE PROPERTY OF RIGID MOTION NOT APPLY FOR ALL TRANSFORMATIONS?
Answer:
Similarity means that two figures are the same shape, but not necessarily the same size, color or orientation, congruent means two figures are the same in every form.
Step-by-step explanation:
In my understanding, The Property of Rigid motion holds two points:
- The relative distance between two points stays the same,
- The relative position of the points stays the same
This includes, translations, reflections, and rotation but not to dilutions since it breaks these rules. The relative distance between points gets smaller after dilution.
If it takes John 10 hours to paint the fence, how long will it take John and his two friends to do the job if they work at the same rate?
Answer:
look in picture below :)
Jack is mowing lawns he mows lawns at a constant rate of 1/3 acre every 3/4 hour at this rate which ffraction re;presents the acres jack can mow per hour
Answer:
4/9
Step-by-step explanation:
Given rate is 1/3 acre per 3/4 hours.
To calculate the rate per hour, we have to divide total acres by the fraction of hour
=> [tex]\frac{\frac{1}{3} }{\frac{3}{4} }[/tex]
=> [tex]\frac{4}{3*3}[/tex]
=> 4/9
HELP ASAP!
Carol earned $642.20 in net pay for working 37 hours. She paid $115.34 in federal and state income taxes and $62.75 in FICA taxes
What was Carol's hourly wage?
Carol's total earnings can be calculated by adding up her net salary plus her taxes paid.
So, Total earnings of Carol = 642.20 + 115.34 + 62.75 = $820.29
So, her hourly wage = [tex]\frac{820.29}{37} =22.17[/tex]
Hence, Carol's hourly wage is = $22.17
2x-3y=-14 3x-2y=-6 if (x,y) is a solution to the system of equations above, what is the value of x-y?
In a system of equations, if the variable x is found to be equal to 2 and y is found to be equal to 4, the value of x - y is -2.
Explanation:To solve for the values of x and y in this pair of linear equations, we can use a method known as substitution or elimination. However, the question asks for the value of x-y, not for the individual values of x and y.
First, let's multiply the first equation by 2 and the second equation by 3:
4x - 6y = -28 (equation 1)
9x - 6y = -18 (equation 2)
If we subtract Equation 2 from Equation 1, we get -5x = -10. Solving for x, we find that x = 2.
Substituting the value of x into the first equation, we get:
2(2) - 3y = -14
Solving for y, we find that y = 4.
Therefore, x - y = 2 - 4 = -2.
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At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle (blue) with a radius of 11 m. The inner edge of the sidewalk is a circle (orange) with a radius of 9 m. Find the approximate AREA of the smaller circle (orange).
Use 3.14 for pi.
Answer:
380
Step-by-step explanation:
11^2 x 3.14 = 380
Every year ethan earns 38,428 each year he spends 21,728 how much should he have left over
➷ You have to subtract the values:
38,428 - 21,728 = 16,700
He should have $16,700 (you can change the currency symbol if required)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
If a data set has only one outlier, which value will always change when the outlier is excluded?
Answer:
the mean (average) will change
Step-by-step explanation:
Answer:
the rangue
Step-by-step explanation:
A rectangle has a perimeter of 48 inches. Each side is a whole number of inches. What is the difference between the greatest and least areas that the rectangle can have
The difference between the greatest and least areas is 72 square inches.
What is perimeter of a rectangle?
Let L be the length and w be the width of the rectangle.
Perimeter = 2l + 2w = 48
Since each side is a whole number, list pairs of whole numbers that satisfy the equation.
Potential pairs (length, width) are:
(23, 1)
(22, 2)
(21, 3)
(20, 4)
(19, 5)
Let's calculate the areas for the pairs mentioned:
Area = l*w
(23, 1)) A = 23* 1 = 23
(22, 2) A = 22 *2 = 44
(21, 3) A = 21 *3 = 63
(20, 4) A = 20 *4 = 80
(19, 5) A = 19 *5 = 95
The greatest area is 95 square inches, and the least area is 23 square inches.
The difference between the greatest and least areas is 95 - 23 = 72 square inches. Therefore, the answer is 72.
Identify the graph of the equation. What is the angle of rotation for the equation?
13x^2+6√3xy+7y^2-16=0
Answer:
The answer is ellipse; 30° ⇒ answer (d)
Step-by-step explanation:
* At first lets talk about the general form of the conic equation
- Ax² + Bxy + Cy² + Dx + Ey + F = 0
∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.
∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.
∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.
* Now we will study our equation:
* 13x² + 6√3xy + 7y² - 16 = 0
∵ A = 13 , B = 6√3 , C = 7
∴ B² - 4 AC = (6√3)² - 4(13)(7) = -256
∴ B² - 4AC < 0
∴ The graph is ellipse or circle
* If A and C are nonzero, have the same sign, and are not
equal to each other, then the graph is an ellipse.
* If A and C are equal and nonzero and have the same
sign, then the graph is a circle.
∵ A and C have same signs with different values
∴ It is an ellipse
* To find the angle of rotation use the rule:
- cot(2Ф) = (A - C)/B
∵ A = 13 , B = 6√3 , C = 7
∴ cot(2Ф) = (13 - 7)/6√3 = 6/6√3 = 1/√3
∵ tan(2Ф) = 1/cot(2Ф)
∴ tan(2Ф) = √3 ⇒ 2Ф = [tex]tan^{-1}\sqrt{3}=60[/tex]
∴ 2Ф = 60°
∴ Ф = 30°
* The answer is ellipse; with angle of rotation = 30°
Answer:
The answer is ellipse; 30° ⇒ answer (d)
Step-by-step explanation:
Given that QRVTSU is a regular hexagon what are the lengths of QR and ST?
Answer:
Step-by-step explanation:
3y + 19 = 6y + 1
6y + 1 = 3y + 19
6y - 3y = 19 - 1
3y = 18
y = 6
6y + 1
6.6 + 1
37
The first one
I hope I helped you.
Answer:
Option A. 37
Step-by-step explanation:
We will understand first what is a regular hexagon?
Hexagon is a structure in which number of all the sides are 6 and since its a regular hexagon all the sides will be equal.
Since all the sides are equal and given two sides are (3y + 19) and (6y + 1)
Therefore, by the definition of regular hexagon
3y + 19 = 6y + 1
19 = 6y - 3y + 1
19 - 1 = 6y - 3y
18 = 3y
y = [tex]\frac{18}{3}=6[/tex]
Now we have to calculate the length of both the sides given.
Side ST = 6y + 1 = 6×6 + 1 = 36 + 1 = 37
and QR = 3y + 19 = 3×6 + 19 = 18 + 19 = 37
Therefore, option A. 37 is the correct answer.
On Dolphin Beach, the high tide is 2.2 meters and only occurs at 12 a.m. and 12 p.m. The low tide is 1 meter and only occurs at 6 a.m. and 6 p.m.
Which function models the height of the tide t hours after 12 a.m.?
h(t) = 0.6 sin (πt/6) + 1.6
h(t) = 1.6 sin (πt/3) + 2.2
h(t) = 1.2 cos (πt/3) + 1
h(t) = 0.6 cos (πt/6) + 1.6
Answer:
D
Step-by-step explanation:
maximum at 12am which is time, t = 0 and 12pm which is time, t = 12
so we’ll use a cosine function since no phase shift is given.
period, T: 1 cycle = 2π and time taken to complete one cycle is 12hrs
T = 2π/(12) = ⅙π
med-line = ½(1 + 2.2) = 1.6
and thus amplitude = 1.6 - 1 = 0.6 or 2.2 - 1.6 = 0.6
h(t) = 0.6 cos(⅙πt ) + 1.6
ANS: D Can I get brainliest on this please because I only need two more until virtuoso
The function h(t) = 0.6 cos (πt/6) + 1.6 models the height of the tide at Dolphin Beach.
1. To model the height of the tide at Dolphin Beach, we need to consider the given tide heights and times. High tide occurs at 12 a.m. and 12 p.m. with a height of 2.2 meters, and low tide occurs at 6 a.m. and 6 p.m. with a height of 1 meter. This suggests a periodic function with a 12-hour period.
2. The general form for such a function can be a sine or cosine function. Based on the information, we can match the function's characteristics with the function options provided:
Amplitude: (2.2 - 1)/2 = 0.6 (This represents the maximum deviation from the average height.)Mean height: (2.2 + 1)/2 = 1.6 (This is the average height between high and low tides.)Period: 12 hours (since the tide pattern repeats every 12 hours).3. The cosine function, which starts at its maximum value, would be appropriate, and since the low tide occurs 6 hours later, the function should resemble a cosine function shifted by 6 hours:
Among the options provided h(t) = 0.6 cos (πt/6) + 1.6, perfectly alligns :
The amplitude 0.6 fits the range of tide height variations.The average height (mean height) is 1.6 meters.The period of 12 hours is incorporated as 2π/12 = π/6 within the cosine function.Thus, the function h(t) = 0.6 cos (πt/6) + 1.6 models the height of the tide at Dolphin Beach.
Michelle has a bag with marbles in it. Some of the marbles are blue, some are green, and some are yellow. She draws one marble at random, records the color, and returns it to the bag.
Here is her data after 500 trials:
Blue Green Yellow
120 119 261
0.5
0.333
0.125
0.25
Answer:
im pretty sure its d) 0.25
Step-by-step explanation:
To find the experimental probability of each, divide the number for each color by 500. Then, multiply it by 20, to find the amount expected out of 20.
Henry is also eating pizza. He ate 7/8 of a whole pizza 7/8 of a whole pizza that had 12 pieces. How many pieces did he eat
Answer:
10 1/2
Step-by-step explanation:
What is the total number of arrangements for 3 green balls, 2 red balls, and 1 white ball?
Answer:
6
Step-by-step explanation:
***If choosing one of each, this is the answer*** This wasn't clearly asked for in the question though
When counting the number of arrangements of multiple choices, multiply the number of choices of each item together.
(3)(2)(1) = 6
Here is them listed..
Green ball 1, red ball 1, white ball
Green ball 1, red ball 2, white ball
Green ball 2, red ball 1, white ball
Green ball 2, red ball 2, white ball
Green ball 3, red ball 1, white ball
Green ball 3, red ball 2, white ball
What is the value of x? Show all of your work.Round your answer to the nearest tenth.
Answer:
[tex]x=20.6\ in[/tex]
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
[tex]41.2^{2} =35.7^{2} +x^{2}[/tex]
solver for x
[tex]x^{2}=41.2^{2}-35.7^{2}[/tex]
[tex]x^{2}=422.95[/tex]
[tex]x=20.6\ in[/tex]
A geometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn/3
where n ∈N and n ≥ 1. The general term of the sequence is
Answer:
tn = 243·(1/3)^(n-1)
Step-by-step explanation:
The recursive formula tells you the first term (243) and the common ratio (1/3). You can put these numbers into the general formula for the n-th term of a geometric sequence:
an = a1·r^(n-1) . . . . . where a1 is the first term and r is the common ratio
You want the n-th term of your sequence to be called tn, so ...
tn = 243·(1/3)^(n-1)
Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)
Answer:
Option b
Step-by-step explanation:
To solve this problem use the law of the sines.
We have 2 angles of the triangle and one of the sides.
[tex]a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°[/tex]
The law of the sines is:
[tex]\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5[/tex]
[tex]\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30[/tex]
What is the value of x in the diagram?
Answer:
x = 15.
Step-by-step explanation:
Given : Two similar triangle .
To find : What is the value of x in the diagram.
Solution : We have given that
Two triangle with corresponding sides .
By the similar triangle property
The ratio of the two corresponding sides are equal.
[tex]\frac{x}{25} = \frac{9}{15}[/tex].
On cross multiplication
x = [tex]\frac{9* 25}{15}[/tex].
x = [tex]\frac{225}{15}[/tex].
x = [tex]\frac{45}{3}[/tex].
x = 15.
Therefore, x = 15.
The value of x in the diagram is 15. Option A
How to determine the value
Similar triangles have the same shape but different sizes. In similar triangles, corresponding angles are equal.
Corresponding sides of similar triangles are in the same ratio.
The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides.
Then, we have that;
x/25 = 9/15
cross multiply the values, we have;
x = 9(25)/15
Multiply the values
x = 225/15
Divide the values
x = 15
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A rectangle prism has the dimensions 8 feet by 3 feet by 5 feet. What is the surface area of the prism
Answer:
158 square feet
Step-by-step explanation:
The surface area of a prism is found using the following formula: SA = 2(lh+lb+bh). This formula takes the area of each face (6 in total( and adds them together to find a total sum. Substitute l = 8, b = 3 and h = 5 to solve for the surface area.
SA = 2(lh+lb+bh)
SA = 2(8*5+8*3+3*5)
SA = 2(40 + 24 + 15)
SA = 2(79)
SA = 158
Solve for A ?
Anyone willing to help me :)
Answer:
2.2Step-by-step explanation:
Use the cosine law:
[tex]BC^2=AB^2+AC^2-2(AB)(AC)\cos(\angle A)[/tex]
We have:
[tex]BC=a\\\\AB=4\\\\AC=3\\\\m\angle A=32^o\to\cos32^o\approx0.848[/tex]
Substitute:
[tex]a^2=4^2+3^2-2(4)(3)(0.848)\\\\a^2=16+9-20.352\\\\a^2=4.648\to a=\sqrt{4.648}\\\\a\approx2.2[/tex]
Integers are _____ rational numbers.
always
sometimes
never
Here is your answer
[tex]<b>always</b>[/tex]
REASON :
Integers are all natural numbers their negative including 0.
Rational numbers are the numbers of the form p/q where p and q are integers and q is not equal to 0.
So, the definition itself defines that every integer is a rational number.
Exa- Integers
1, -2 , 3, 90, -6
These are rational numbers as
1=1/1 (p/q form)
-2=-2/1 (p/q form)
3= 3/1 (p/q form)
90= 90/1 (p/q form)
-6= -6/1 (p/q form)
HOPE IT IS USEFUL
the answer is always :)))))
Which choice is a list of valid names for this figure?
A. quadrilateral, parallelogram, rhombus
B. quadrilateral, parallelogram, rectangle
C. quadrilateral, pentagon, trapezoid
D. parallelogram, kite, trapezoid
Answer:
A. quadrilateral, parallelogram, rhombus
Step-by-step explanation:
Parallel sides are equal
HURRY PLEASE
Which expression is equivalent to 2w?
A)w+w
B)2w+w
C)2w-w
D) w+2
Answer:
A) w + w
Step-by-step explanation:
Combine like terms
A)w+w = 2w
B)2w+w = 3w
C)2w-w = w
D) w+2 = w + 2
So answer is A) w + w
Answer:
w+w
Step-by-step explanation:
Determine the recursive function that defines the sequence.
Option: C is the correct answer.
C. [tex]f(1)=4\\\\f(n)=5\cdot f(n-1)\ ;\ n\geq 2[/tex]
Step-by-step explanation:Recursive Formula--
It is the formula which is used to represent the nth term of a sequence in terms of (n-1)th term of the sequence.
Here we are given a table of values by:
n f(n)
1 4
2 20
3 100
i.e. when n=1 we have:
[tex]f(1)=4[/tex]
Also,
[tex]f(2)=20\\\\i.e.\\\\f(2)=5\cdot 4\\\\i.e.\\\\f(2)=5\cdot f(1)[/tex]
Also,
[tex]f(3)=100\\\\i.e.\\\\f(3)=5\cdot 20\\\\i.e.\\\\f(3)=5\cdot f(2)[/tex]
Hence, the recursive formula is:
[tex]f(n)=5\cdot f(n-1)\ for\ n\geq 2[/tex]
Answer:
for plato family
f(1)=4
f(n)=5. f(n-1) ,for n [tex]\geq[/tex] 2
Step-by-step explanation: