check the answer in the solution part.
Step-by-step explanation:[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]
[tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]
I hope this helps you
:)
Find the area of the parallelogram
Answer:
30.42 in^2.
Step-by-step explanation:
Find the height:
sin 45 = 1/√2 = h/7.8
h = 7.8 /√2
the base = height = 7.8 /√2
Area = h * b
= (7.8 /√2)2
= 30.42.
A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?
I think of a number multiply it by 2, subtract 3 and multiply by 4
Step-by-step explanation:
(2x - 3)×4
random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.
seven less than the product of a number n and 1/3 is no more than 95
The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?
Answer:
606 MPH
Step-by-step explanation:
4848/8=606
Answer:
606 mph
Step-by-step explanation:
i did 4848 divided by 8
what is 60 divided by 4?
Answer:
The answer is 15
Step-by-step explanation:
Which number sentence matches the question below?
Mindy has a total of 239 books.
If Mindy gives 92 books to her local library, how many books will she have left?
A.
- 239 = 92
B.
239 + 92 =
C.
239 - 92 =
Answer:
Your answer is C.
239-92
Step-by-step explanation:
If shes giving AWAY then it would be a subtraction problem.
(PLS HELP QUICK POINTS)
A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.
Answer:
Step-by-step explanation:
To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.
What is the distance between
(-2,-4) and (-2, -8)?
2 units
4 units
12 units
Answer:
4units is the answer to the question
Answer:
4
Step-by-step explanation:
took the k12 test
Constants are numbers without letters attached.
What is the constant in the equation x/2 - 3?
answers:
2
-3
Answer:
constant = - 3
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] - 3 = [tex]\frac{1}{2}[/tex] x - 3
the number without letters attached is the constant - 3
Answer:
-3
Step-by-step explanation:
The answer is -3 because 2 has a letter attached to it which is x/2 -3 is without a letter.
hope dis helps):
Help please I would appreciate
Answer:
66 (no other answer)
Step-by-step explanation:
The number can be divided by 2 so its even. Its a multiple of 11. It is between 20 and 79. it is a multiple of 3.
Find the area of the circle
Step-by-step explanation:
78.50 in^2 I am pretty sure
Answer:
78.50 in squared
Step-by-step explanation:
To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.
find the value of x in the triangle shown below
Answer:
D
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is
x² + 8² = 9²
x² + 64 = 81 ( subtract 64 from both sides )
x² = 17 ( take square root of both sides )
x = [tex]\sqrt{17}[/tex]
Answer:
√17 (Option D)⠀
Step-by-step explanation:
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
⠀
Let,
x be BC, where BC is the Perpendicular.8 be AB, where AB is the Base.9 be AC, where AC is the Hypotenuse.⠀
We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]
[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]
⠀
Therefore,
The value of x is √17 .Which point on the number line is at 58/100
Answer:
R
Step-by-step explanation:
If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.
Hope this helped <3 Brainliest please :)
So sorry to ask another question but I need some help-
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet. What is the perimeter of the triangle?
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?
A finite, nonzero area formed by the lines would have a fixed measurement
The number of separate region that have a finite, nonzero area is 64
How to determine the number of separate regions?The given parameters are:
Horizontal lines, h = 9Vertical lines, v = 9The number (n) of separate region that have a finite, nonzero area is calculated as:
n = (h - 1) * (v - 1)
This gives
n = (9 - 1) * (9 - 1)
Evaluate the product
n = 64
Hence, the number of separate region that have a finite, nonzero area is 64
Read more about lines at:
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1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
How much plywood will it take to build the garbage bin?
The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².
How to find the surface area of a rectangular prismThe wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.
Therefore,
surface area of rectangular prism = 2(lw + lh + hw)
where
l = lengthw = widthh = heightl = 156 cm
w = 122 cm
h = 95 cm
surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))
surface area of rectangular prism = 2(19032 + 14820 + 11590)
surface area of rectangular prism = 2(45442)
surface area of rectangular prism = 90884 cm²
learn more on surface area here:https://brainly.com/question/27161212
Help asap
photo attached
the function f has a continuous derivative. if f(0) = 1, f(2) = 5 and integral from 0 to 2 f(x) dx = 7, what is integral from 0 to 2 x • f’(x) dx?
a. 3
b. 6
c. 10
d. 17
No photo attached, but no need.
We're given that f(0) = 1 and f(2) = 5, and that
[tex]\displaystyle \int_0^2 f(x) \, dx = 7[/tex]
Integrate x f'(x) by parts, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = f'(x) \, dx \implies v = f(x)[/tex]
Then
[tex]\displaystyle \int_0^2 x f'(x) \, dx = uv\bigg|_{x=0}^{x=2} - \int_0^2 v \, du \\\\ = x f(x) \bigg|_{x=0}^{x=2} - \int_0^2 f(x) \, dx[/tex]
Now just plug in everything you know:
[tex]\displaystyle \int_0^2 x f'(x) \, dx = 2f(2) - 0f(0) - \int_0^2 f(x) \, dx = 10 - 0 - 7 = \boxed{3}[/tex]
A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.
How many fluid ounces of milk were used during the class?
10 fl oz
23 fl oz
49 fl oz
101 fl oz
Answer
C. 49 fl oz
Step-by-step explanation:
I took the quiz.
factorise fully 4x squared + x cubed pls
The value of the equation is A = x² ( 4 + x )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4x squared + x cubed
Substituting the values in the equation , we get
A = 4x² + x³ be equation (1)
On simplifying the equation , we get
Taking the common factor as x² in the equation , we get
A = x² ( 4 + x )
Therefore , the value of A is x² ( 4 + x )
Hence , the factorized equation is x² ( 4 + x )
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A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?
Answer: She observed older fossils that contained many of the same minerals as the newer ones
Step-by-step explanation:
Answer:
chaupapi
\\
Step-by-step explanation:
The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?
A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6
The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
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Find the roots of the factored polynomial. (x–3)(x–9) Write your answer as a list of values separated by commas.
x^2 - 9x - 3x + 27
x^2 - 12x + 27
#8) Translate the following phrase into an expression:
10
8 more than y
Your answer
This is atequired question
Answer:
y + 8
Step-by-step explanation:
8 more than y is y plus 8.
What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?
Answer:
26,160.00
Step-by-step explanation:
24,000 + 9% = 26,160.00
Have a wonderful day! Dream a good dream of good people. :)
Answer:
The answer is
→ $26,160
Step-by-step explanation:
In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.
So,
24,000
+ 9%
‾‾‾‾‾‾‾‾‾‾
26,160
Therefore, 26,160 is the correct answer for your problem.
help me!!!!Determine the value of each car after 5 years.
NO LINKS. Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: Altitude
Step-by-step explanation:
Calculate the capacitance between two parallel plates of area s and separation of d
The capacitance between two parallel plates of area s and separation of d is;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
What is capacitance?Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.
The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.
The capacitance between two parallel plates of area s and separation of d is given by the following formula;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.
According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.
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Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall
Answer:
4 dollars per friend
Step-by-step explanation:
So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48
48 is how much the 4 friends paid
If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
Please show work
Answer:
31
Step-by-step explanation:
The series are given as geometric series because these terms have common ratio and not common difference.
Our common ratio is 2 because:
1*2 = 2
2*2 = 4
The summation formula for geometric series (r ≠ 1) is:
[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}[/tex] or [tex]\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]
You may use either one of these formulas but I’ll use the first formula.
We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.
[tex]\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}[/tex]
Therefore, the solution is 31.
__________________________________________________________
Summary
If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.
Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as [tex]\displaystyle \large{a_{n-1} \cdot r = a_n}[/tex] meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:
[tex]\displaystyle \large{r=\frac{a_{n+1}}{a_n}}[/tex]
Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:
[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]
Above should be applied for series that have common ratio not equal to 1.
[tex]\displaystyle \large{S_n=a_1 \cdot n}[/tex]
Above should be applied for series that have common ratio exactly equal to 1.
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Topics
Sequence & Series — Geometric Series
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Others
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