Answer: A is cheaper
Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee
Then $50/month for racket which is $300
total270+300=570
In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675
Difference in 6months is 675-570= $105 saved
Answer: 105
Step-by-step explanation:
did test
somebody help me 7u7
Answer:
105 square feet
Step-by-step explanation:
First of all, find the area of the rectangle (length x width). 7*12 = 84. Now, find the area of the triangle [(base x height)/2]. 6*7 = 42. 42/2 = 21.
Add both of these areas together: 84 + 21 = 105. The area is 105 square feet.
Answer:
105 square feet
Step-by-step explanation:
There are two shapes in this figure, a rectangle and a triangle. We have to find the area of the two shapes separately.
Rectangle Areal x w is the rectangle area formula.
12 x 7 = 84.
The area of the rectangle is 84 square feet
Triangle Area[tex]\frac{l * w}{2}[/tex] is the triangle area formula
[tex]\frac{7* 6}{2}[/tex] = 21
84 + 21 = 105 square feet.
the __________ of a number is its ____________on the number line
[tex]\large \mathbb\purple {✒✨ANSWER ✨⚘ }[/tex]
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
➝ the absolute value of a number is its distance from 0 on the number line.
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNINGAn airplane is flying 4,000 feet above the ground. It is approaching the runway. A person is standing on the runway looking up at the plane. If the angle of elevation is 12 degrees
what is the distance of the plane from the runway, to the nearest tenth of a foot?
i am from afghanistan and you all gus
The trigonometric relation is solved and distance of the plane from the runway is D = 18,818.52 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
An airplane is flying 4,000 feet above the ground
A person is standing on the runway looking up at the plane. And the angle of elevation is 12°
So , from the trigonometric relation , we get
tan 12° = 4000 / D
On simplifying , we get
D = 4000 / 0.21255656167
D = 18,818.52 feet
Hence , the distance is D = 18,818.52 feet
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If [tex]x = \sqrt{a^{sin^{-1}t}}[/tex],[tex]y =\sqrt{a^{cos^{-1}t}}[/tex], show that [tex]\frac{dy}{dx}= -\frac{y}{x}[/tex].
Please help & don't spam!
Step-by-step explanation:
[tex]\sf x = \sqrt{a^{sin^{-1} \ t}}\\\\\\Derivative \ rule:\boxed{\dfrac{d(\sqrt{x})}{dx}=\dfrac{1}{2}*x^{\frac{-1}{2}}=\dfrac{1}{2\sqrt{x}}}[/tex]
[tex]\sf \dfrac{d(\sqrt{a^{sin^{-1} \ t}}}{dt}=\dfrac{1}{2\sqrt{a^{sin^{-1} \ t}}}*\dfrac{d(a^{sin^{-1} \ t})}{dt}\\\\\\Derivative \ rule: \boxed{\dfrac{d(a^{x})}{dx}=log \ a *a^{x}}[/tex]
[tex]\sf = \dfrac{1}{2\sqrt{a^{sin^{-1}} \ t}}*a^{sin^{-1} \ t}* log \ a *\dfrac{d(Sin^{-1} \ t)}{dt}\\\\[/tex]
[tex]Derivative \ rule:\boxed{\dfrac{d(sin^{-1} \ x}{dx}=\dfrac{1}{\sqrt{1-x^2}}}[/tex]
[tex]\sf = \dfrac{1}{2\sqrt{a^{sin^{-1} \ t}}}*a^{Sin^{-1} \ t}*log \ a*\dfrac{1}{\sqrt{1-x^2}}}}}\\\\ = \dfrac{a^{Sin^{-1} \ t}*log \ a}{2\sqrt{a^{sin^{-1} \ t}}*\sqrt{1-x^2}}[/tex]
[tex]\boxed{ \dfrac{a^{sin^{-1} \ t}}{\sqrt{a^{sin^{-1} \ t}}}=\dfrac{\sqrt{a^{sin^{-1} \ t}}*\sqrt{a^{sin^{-1} \ t}}}{\sqrt{a^{sin^{-1} \ t}}} = \sqrt{a^{sin^{-1} \ t}}}[/tex]
[tex]\sf = \dfrac{a^{sin^{-1} \ t}*log \ a}{2\sqrt{1-x^2}}[/tex]
[tex]\sf \dfrac{dy}{dt}=\dfrac{d(a^{cos^{-1} \ t})}{dt}[/tex]
[tex]= \dfrac{1}{2\sqrt{a^{cos^{-1} \ t}}}*a^{cos^{-1} \ t}*log \ a *\dfrac{-1}{\sqrt{1-x^2}}}\\\\\\=\dfrac{(-1)*a^{cos^{-1} \ t}*log \ a}{2*\sqrt{a^{cos^{-1} \ t}}*\sqrt{1-x^2}}[/tex]
[tex]\sf = \dfrac{(-1)*\sqrt{a^{Cos^{-1} \ t}}* log \ a }{2\sqrt{1-x^2}}\\\\[/tex]
[tex]\sf \bf \dfrac{dy}{dx}=\dfrac{dy}{dt} \div \dfrac{dx}{dt}\\[/tex]
[tex]\sf \bf = \dfrac{(-1)*\sqrt{a^{cos^{-1} \ t}}*log \ a}{2*\sqrt{1-x^2}} \ \div \dfrac{\sqrt{a^{sin^{-1} \ t}} *log \ a}{2*\sqrt{1-x^2}}\\\\\\=\dfrac{(-1)*\sqrt{a^{cos^{-1} \ t}}*log \ a}{2*\sqrt{1-x^2}} \ * \dfrac{2*\sqrt{1-x^2}}{\sqrt{a^{sin^{-1} \ t}} *log \ a}\\\\= \dfrac{(-1)* \sqrt{a^{cos^{-1} \ t}} }{\sqrt{a^{sin^{-1} \ t}}}\\\\= \dfrac{-y}{x}[/tex]
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: x = \sqrt{ {a}^{sin {}^{ - 1}t } } [/tex]
here, let's differentiate it with respect to t ~
[tex]\sf \dashrightarrow \: \dfrac{dx}{dt} = \dfrac{1}{2 \sqrt{a {}^{sin {}^{ - 1}t } } } \times a {}^{sin {}^{ - 1}t } \sdot ln(a) \times \dfrac{1}{ \sqrt{1 - {x}^{2} } }[/tex]
[tex]\sf \dashrightarrow \: \dfrac{dx}{dt} = \dfrac{ \sqrt{ {a}^{sin {}^{ - 1}t } } \sdot ln(a)}{2 \sqrt{1 - {x}^{2} } } [/tex]
[tex]\sf \dashrightarrow \: \cfrac{dt}{dx} = \dfrac{2 \sqrt{1 - {x}^{2} } }{ \sqrt{a {}^{sin {}^{ - 1} t} \sdot ln(a)} }[/tex]
Smililarly,
[tex]\sf \dashrightarrow \: \dfrac{dy}{dt} = \dfrac{1}{2 \sqrt{a {}^{cos{}^{ - 1}t } } } \times a {}^{cos {}^{ - 1}t } \sdot ln(a) \times \dfrac{ - 1}{ \sqrt{1 - {x}^{2} } }[/tex]
[tex]\sf \dashrightarrow \: \dfrac{dy}{dt} = - \dfrac{ \sqrt{ {a}^{cos {}^{ - 1}t } } \sdot ln(a)}{2 \sqrt{1 - {x}^{2} } }[/tex]
Now : Lets get Required result ~
[tex]\sf \dashrightarrow \: \dfrac{dy}{dx} = \dfrac{dy }{dt} \times \dfrac{dt}{dx} [/tex]
[tex]\sf \dashrightarrow \cfrac{dy}{dx} = - \dfrac{\sqrt{ {a}^{cos {}^{ - 1}t } \sdot \cancel{ ln(a)}}}{ \cancel{2 \sqrt{1 - {x}^{2}}}} \sdot \dfrac{ \cancel{2 \sqrt{1 - {x}^{2}} } }{ \sqrt{a {}^{sin {}^{ - 1} t} }\sdot \cancel{ln(a)}}[/tex]
[tex]\sf \dashrightarrow \cfrac{dy}{dx} = - \dfrac{\sqrt{ {a}^{cos {}^{ - 1}t } }}{ \sqrt{a {}^{sin {}^{ - 1} t} }}[/tex]
[tex]\sf \dashrightarrow \cfrac{dy}{dx} = - \dfrac{y}{x} [/tex]
[ since y = [tex]\sf{\sqrt{a^{cos^{-1}t}} } [/tex] and x = [tex]\sf{\sqrt{a^{sin^{-1}t}} } [/tex] ]
in the garden, the ratio of roses to daises is 1:3. there are 8 roses. How many daises are there
A hexagon with an apothem of 14.7 inches is shown. a regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. what is the area of the hexagon? square inches
The area of the considered regular hexagon which has got 14.7 inches of apothem and a perimeter of 101.8 inches is 748.2 sq. inches.
What is apothem?Apothem for a regular polygon is a line segment which originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon. It is perpendicular to the regular polygon's side it touches.
Regular polygons have all side same and that apothem bisects the side in two parts, (provable by symmetry).
Consider the diagram attached below.
The area of the regular hexagon considered = 6 times (area of triangle ABC) (because of symmetry).
Also, we have:
Area of triangle ABC = 2 times (Area of triangle ABD).
Thus, we get:
Area of the considered hexagon = 6×2×(Area of triangle ABD)
Area of the considered hexagon = 12×(Area of triangle ABD)
Perimeter of a closed figure = sum of its sides' lengths.
There are 6 equal sides in a regular hexagon (due to it being regular).
Thus, if each side is of 'a' inch length, then:
Perimeter = 6×a inches
[tex]101.8 = 6a\\\\\text{Dividing both the sides by 6, to get 'a' on one side}\\\\a = \dfrac{101.8}{6} \approx 16.967 \: \rm inches[/tex]
This is bisected by the apothem.
Thus, we get:
Length of the line segment BD = |BD| = a/2 ≈ 8.483 inches
Since it is given that the length of the apothem = |AD| = 14.7 inches, therefore, we get:
[tex]\text{Area of ABD} = \dfrac{1}{2} \times \rm base \times height \approx \dfrac{14.7 \times 8.483}{2} \approx 62.35 \: \rm in^2[/tex]
Thus, we get:
Area of the considered hexagon = 12×(Area of triangle ABD)
Area of the considered hexagon [tex]\approx 12 \times 62.35 = 748.2 \: \rm in^2[/tex]
Thus, the area of the considered regular hexagon which has got 14.7 inches of apothem and a perimeter of 101.8 inches is 748.2 sq. inches.
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Answer:
748.23
Step-by-step explanation:
On edge
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
Year
1 2 3 4 5 6 7
Sales (in millions)
1 1.2 1.5 1.8 2 2.2 2.4
(a) Create a scatter plot using the data in the table.
(b) Which model type best fits the data?
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Round each term to the nearest ten-thousandth.
The scatter plot is given below. The linear model best fits the data and the equation of the linear model is y = 0.2667 + 0.7333.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
(a) Create a scatter plot using the data in the table. The table is given below.
[tex]\begin{matrix}\rm Year&1 &2 &3 &4 &5 &6 &7 \\\\\rm Sales (in millions)&1 &1.2 &1.5 &1.8 &2 &2.2 &2.4\end{matrix}[/tex]
(b) The linear model type best fits the data.
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Then the equation will be
[tex]\rm y=\left(\dfrac{2.4-1}{7-1}\right)\left(x-1\right) + 1\\\\y = 0.2667 (x - 1) + 1\\\\y = 0.2667x - 0.7333[/tex]
The graph is given below.
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Select the correct answer.
Function F is nonlinear and f(5) = 4. Which equation could represent function F ?
A. f(x) = x^2 – 11
B. f(x) = 2^x - 28
C. f(x) = 1/5x + 3
D. f(x) = 5
i know its not C
what is the value of x? x°-4 100° 3x°
Answer:
x = 21
Step-by-step explanation:
The sum of interiro angles in atriangle is equal to 180:
x - 4 + 100 + 3x = 180 add like terms
4x + 96 = 180 subtract 96 from both sides
4x = 84 divide both sides by 4
x = 21
Answer:
The answer is x = 21.
Step-by-step explanation:
(x+3)(3x² - 5x - 10) multiply polynomial
Answer:
[tex]\boxed{\sf{3x^3+4x^2-25x-30}}[/tex]Step-by-step explanation:
[tex]\underline{\text{SOLUTION:}}[/tex]
To isolate the term of x from one side of the equation, you must multiply by a polynomial.
[tex]\underline{\text{GIVEN:}}[/tex]
[tex]:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}[/tex]
You have to solve with parentheses first.
[tex]:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}[/tex]
Solve.
[tex]\sf{x*3x=3x^3}[/tex]
x(-5x)=-5x²
[tex]\sf{x(-10)=-10x}[/tex]
3*3x²=9x²
3(-5x)=-15x
3(-10)=-30
Then, rewrite the problem down.
[tex]\sf{3x^3-5x^2-10x+9x^2-15x-30}[/tex]
Combine like terms.
[tex]\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}[/tex]
Add/subtract the numbers from left to right.
-5x²+9x²=4x²
[tex]\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}[/tex]
Solve.
[tex]\sf{-10x-15x=-25x}[/tex]
Then rewrite the problem.
[tex]\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}[/tex]
Therefore, the correct answer is 3x³+4x²-25x-30.I hope this helps! Let me know if you have any questions.
Answer:
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](x + 3)(3x^2 - 5x - 10)[/tex]
[tex](x * 3x^2) + (x * (-5x)) + (x * (-10)) + (3 * 3x^2) + (3 * (-5x)) + (3 * (-10))[/tex]
[tex]3x^3 - 5x^2 - 10x + 9x^2 - 15x - 30[/tex]
Step 2: Combine like terms
[tex]3x^3 - 5x^2 + 9x^2 - 15x - 10x - 30[/tex]
[tex](3x^2) + (-5x^2 + 9x^2) + (-15x - 10x) + (-30)[/tex]
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Answer: [tex]3x^2 + 4x^2 - 25x - 30[/tex]
What is the mean of this set: (2, 6, 7, 9, 9, 9}? O 6 O 7 8 9What is the mean of this set: (2, 6, 7, 9, 9, 9)? O 6 O 7 C 8 C 9
The ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
How to find the mean of a data set?Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
For this case, we're given the data set 2, 6, 7, 9, 9, 9
There are total 6 observations in this data set.
The sum of these observations is:
2+6+7+9+9+9 =42
Thus, we get:
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{42}{6} = 7[/tex]
Thus, the ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
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Answer:
b. 7
Step-by-step explanation:
I ate of a box of donuts. My friend ate 1/3 more than I did. What fraction of the box of donuts did we eat in all? i will give brainless!
Answer:
2 1/3
Step-by-step explanation:
if you ate a whole box, (1) and your friend ate 1/3 MORE than you, it would be: 1 + 1 1/3. hope this helped :)
The graph of the revenue function f(x) = -0.07x² +3.5x
is used to determine revenue in hundreds of thousands
of dollars, where revenue depends on the number of
thousands of items sold, x.
y
60
-50
8
-10
40
30
20
10
10 20
30
40
50
X
60
How do the mathematical domain and reasonable
domain compare?
O mathematical:-00
O mathematical:-00
O mathematical: 0
mathematical: 0
O
8
Answer:B
its B on edg 2022
Step-by-step explanation:
How do I solve this equation for n? (6x2n)÷8=15
Answer:
n = 10
Step-by-step explanation:
12n ÷ 8 = 15
12n = 15 × 8
12n = 120
n = 120/ 12
n = 10
Please i need some help on this question
Answer:
B
Step-by-step explanation:
It made more machines per hour than the other ones
Make f the subject of 12k^2 = root (f+6)/2
Answer:
f=2×12k⁴-6
Step-by-step explanation:
root(f+6/2)=12k²
take the root away f+6/2=12k²
f+6/2=12k⁴
f=2×12k⁴-6
Find the equation for a polynomial f(x) that satisfies the following:
Degrees 3
Zero at x 4
Zero at x -3
Zero at x -4
Y intercept (0,8)
Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
I'll give brainly to who can answer these 2 questions and must be correct C:
~Chiena
1- Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality.
2- Various philosophers have put forth substantive challenges to the truth claims made by science.
Answer:
FACT CHECK THE ANSWERS!! they are based of mild research and could be wrong!!))
both questions come back as true from the best of my ability and understanding
Step-by-step explanation:
1) In metaphysics and philosophy of language, the correspondence theory of truth states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes (i.e., corresponds with) that world.
2) Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspondence theory of truth.
both exlanations are snippets from Wikipedia
If f(x) = -4x - 10, what is the
value of f(-6)?
I
Please help! Will mark brainlyest.
MORE HELP PLEASE!!!!!!!
Answer:
c. 11.7
Step-by-step explanation:
Distance
√(7 + 3)² + (-1 - 5)²√100 + 36√136≅ 11.7Ham bought 40 calculators each at £8.20 and a number of other calculators at £2.95each .in all he spent £387 .how many cheaper calculators did he buy ?
The table of values for quadratic function g is shown below.
g(x)
-2
30
16
O
4
6
30
If 1 Is a solution to g(x) = 0, what is the other
solution?
A
B
C
D
-2
Answer:
The table of values for a quadratic function g is shown below.x= -3, -2, -1, 0, 2, 3, 4, 6 g(x)= 48, 30, 16, 6, -2, 0, 6, 30 if 1 is a solution ...
1 answer
· 5 votes: try with 6 !!!!!!!!!!!!
Step-by-step explanation:
What is equivalent to 3 gallons?
f 4 quarts
g 6 quarts
h 3 quarts
j 12 quarts
Answer:
6g quarts
Step-by-step explanation:
three is a factor and multiple of 6
Luca filled four jars with sweet tea. How
much sweet tea did he have in total?
Answer:
167.283525618[tex]in^{3}[/tex] or 53.248[tex]\pi[/tex][tex]in^{3}[/tex]
Step-by-step explanation:
first divide the diameter by 2 to get the radius and you'll get 1.6 and since the formula for finding the volume of a cylinder is [tex]\pi r^{2} h[/tex] you then square 1.6 and get 2.56 multiply that by the height and get 13.312 then multiply by pie to get 41.8208814046 and then multiply that by the number of jars you have which is four to get the total 167.283525618
or 53.248[tex]\pi[/tex] the problem did not specify how it wanted the answer to be
the answer is cubed because the volume is 3 dimentional
I need help with this question. Giving points for good answers.
Answer:
4968
Step-by-step explanation:
4500 x (1-4%) x (0.15 + 1) = 4500 x 0.96 x 1.15
(4500 x 0.96) x 1.15 = 4320 x 1.15
4320 x 1.15 = 4968
Hope this helps!
HELP !!!
Find x, y, and z if
(3x5)^4 x (2x5)^7 = 2x x 3y x 5z.
use the technique shown in photo if possible.
Answer:
3^9
2^12
5^11
Step-by-step explanation:
if you don't get it I'll be there to help
pls help this is on edge
Step-by-step explanation:
Btw The one on the upper right hand side is Right angle
Answer:
The answer is the image.
Step-by-step explanation:
Sorry for messy writing.
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?
2 < s < 18
6 < s < 12.8
s < 2 or s > 18
s < 6 or s > 12.8
Answer:
your second choice
Step-by-step explanation:
Answer:
B. 6 < s < 12.8
Step-by-step explanation:
I just took the test
A triangle has side lengths of (7x - 4) centimeters, (x + 3) centimeters, and
-
(3y + 2) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answer:
Step-by-step explanation:
Formula
P = s1 + s2 + s3
Givens
s1 = 7x - 4
s2 = x + 3
s3 = 3y + 2
Solution
P = 7x - 4 + x+3 + 3y + 2
P = 8x + 3y + 3 + 2 - 4
Answer
P = 8x + 3y + 1
Note: I can't read the choices well enough to tell which answer it is. To me, it looks like A