Answer:
10
Step-by-step explanation:
because if you have a line with abcde then it would go a_b_c_d_e so a to b ,a to c ,a to d, a to e.Then b to c, b to d, b to e.Then c to d,c to e.Then d to e.
2(x+ 5) = 3x +1 solve
Answer:
x= 9
Step-by-step explanation:
2(x + 5 ) = 3x + 1
expand the bracket first
2x + 10 = 3x + 1
then collect like terms
2x-3x = 1 - 10
-1x = - 9
and the last step is divide both side by -1
then x = 9
select the equation represented by the graph
Answer:
b) y = -2/3 + 1
Step-by-step explanation:
The format for the equation is y = mx + b
(m is the slope, and b is the y intercept)
Slope is rise over run (the units the line moves up and the units the line moves to the right)
In this case, the slope is: -2/3 because it goes down 2 and to the right 3.
The y intercept is 1.
This makes our equation:
y = -2/3 + 1
Which of the following is equal to the opposite of -45?
O-(-45)
O-45
O-1-451
O-145!
Step-by-step explanation:
A o option
-(-45)
hope it helps
What’s there answer for this 4.5x10^-5
Answer:
0.000045
Step-by-step explanation:
Which function is increasing?
A.f(x)=(0.5)^x
B.f(x)=5*x
C.f(x)=(1/15)^x
D.f(x)=(1/5)^x
The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
Which function is making f X larger?For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.The order of the numbers is said to be growing if they are written from smallest to largest, but decreasing order is used when the numbers are written from largest to smallest.You must first compute the derivative, then make it equal to 0, and then determine which zero values the function is negative between in order to determine whether a function is decreasing. In order to determine when the function is negative and, consequently, decreasing, test values on all sides of these.Hence, The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
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Y
2
0
A
с
B
o'
D
Which point is located at
(11.2)
The point that is located at the ordered pair (4, -2) is given as follows:
Point B.
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
In which the coordinates are given as follows:
x is the x-coordinate.y is the y-coordinate.On the coordinate plane, we have that:
x is the horizontal coordinate.y is the vertical coordinate.Hence the coordinates for this problem are given as follows:
A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).
Missing InformationThe graph is given by the image presented at the end of the answer.
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Find the modulus of 6 + 3i
Answer:
the modulus of 6 + 3i=√(6²+3²)=√45=3√5
Answer:
D - 6+3i ; 3 squareroot of 5
Step-by-step explanation:
Ms Chen wants to purchase Christmas lights to decorate her house. The lights cost 13$ and she saved 360$ dollars for the project. How many boxes can she buy
With the $360 she has saved, Ms. Chen is able to purchase 27 boxes of Holiday lights.
To determine how many boxes of Christmas lights Ms. Chen can buy, we need to divide the amount of money she has saved by the cost of each box of lights.
The cost of each box of lights is given as $13.
We can set up a division problem to find the number of boxes:
360 ÷ 13 = 27.69
Since we cannot buy a fraction of a box, we round down to the nearest whole number to get the maximum number of boxes Ms. Chen can buy:
27
Therefore, Ms. Chen can buy 27 boxes of Christmas lights with the $360 she has saved.
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HELP
The average human body temperature is 98.6° F, but it can vary by as much as 1.8° F. Write an inequality to represent the normal temperature range of the human body, where t represents body temperature.
|t − 1.8| ≥ 98.6
|t − 1.8| ≤ 98.6
|t − 98.6| ≥ 1.8
|t − 98.6| ≤ 1.8
The inequality which is used to represent normal "temperature-range" for "human-body", is (d) |t − 98.6| ≤ 1.8.
The "average-temperature" of body is = 98.6° F, and it can vary by 1.8°F.
The inequality |t − 98.6| ≤ 1.8 indicates that the absolute difference between the body temperature and the average temperature is less than or equal to 1.8° F.
This means that the body temperature t can vary within a range of 1.8° F from the average temperature of 98.6° F.
Which means, the temperature cam range from :
⇒ 98.6-1.8 ≤ t ≤ 98.6+1.8,
⇒ 96.8 ≤ t ≤ 100.4;
Therefore, the correct inequality is (d) |t − 98.6| ≤ 1.8.
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The given question is incomplete, the complete question is
The average human body temperature is 98.6° F, but it can vary by as much as 1.8° F. Write an inequality to represent the normal temperature range of the human body, where t represents body temperature.
(a) |t − 1.8| ≥ 98.6
(b) |t − 1.8| ≤ 98.6
(c) |t − 98.6| ≥ 1.8
(d) |t − 98.6| ≤ 1.8
Answer: |t − 98.6| ≤ 1.8
Step-by-step explanation: If takes then takes then takes then takes then takes.
Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?
Answer:
6 ways
Step-by-step explanation:
Given
Number of Sports: 3
Required
Determine the total number of schedules
Since, there are 3 sports and the schedule is in no particular order.
The number of schedules is calculated as thus:
\(Number = n!\ ways\)
Where:
\(n = 3\)
So, we have:
\(Number = 3 * 2 * 1\ ways\)
\(Number = 6\ ways\)
Answer:
882
Step-by-step explanation:
Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882
Can someone pls help me
Answer:
6
Step-by-step explanation:
\( {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6
Use Pythagorean theorem
\(\\ \sf\longmapsto P^2=H^2-B^2\)
\(\\ \sf\longmapsto P^2=(3√13)^2-9^2\)
\(\\ \sf\longmapsto P^2=117-81\)
\(\\ \sf\longmapsto P^2=36\)
\(\\ \sf\longmapsto P=6\)
The test statistic of zequalsnegative 3.25 is obtained when testing the claim that pequals3 divided by 5.
a. Using a significance level of alphaequals0.01, find the critical value(s).
b. Should we reject Upper H 0 or should we fail to reject Upper H 0?
a. Using a significance level of α = 0.01, the critical values for a two-tailed test are ±2.576.
b. To determine whether to reject or fail to reject the null hypothesis, we compare the test statistic (-3.25) to the critical values. Since -3.25 is less than -2.576, we can reject the null hypothesis at the 0.01 significance level. This means we have evidence to support the claim that p = 3/5.
What is significance level?
Significance level, denoted as alpha (α), is the probability threshold used to determine whether a statistical hypothesis is rejected or not. It represents the maximum level of Type I error that a researcher is willing to accept.
A test statistic is a numerical value calculated from a sample of data that is used in hypothesis testing to determine whether to reject or fail to reject a null hypothesis.
The test statistic is compared to a critical value to make this determination. The critical value is a threshold value determined by the level of significance and the degrees of freedom of the sample.
If the test statistic falls within the rejection region determined by the critical value, the null hypothesis is rejected. If the test statistic falls outside the rejection region, the null hypothesis is not rejected.
a. Using a significance level of α = 0.01, the critical values for a two-tailed test are ±2.576.
b. To determine whether to reject or fail to reject the null hypothesis, we compare the test statistic (-3.25) to the critical values. Since -3.25 is less than -2.576, we can reject the null hypothesis at the 0.01 significance level. This means we have evidence to support the claim that p = 3/5.
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Graph f(x) = 4[x] + 5
Step-by-step explanation:
slope is 4, y-intercept is (0,5)
The graph of function f(x) = 4[x] + 5 described below
The given function is
f(x) = 4[x] + 5
Here [ ] represents greatest integer function
We know that
The greatest integer function is one that returns an integer that is closer to the provided actual value.
It is also known as the step function.
The biggest integer function returns the nearest integer to the provided number.
As a result, the formula for finding the biggest integer is rather straightforward.
It is denoted by the symbol [x], where x can be any value.
Now plotting the graph of function.
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A publisher sells 106 copies of a new book. Each book has 102 pages. How many pages total are there in all of the books sold?
Write the answer using exponents.
Answer:
10812
Step-by-step explanation:
books sold=106
number of pages=102
106 × 102=10812
Answer:
106^102
Step-by-step explanation:
Because there are 106 copies of the book and each book has 102 pages
A variable needs to be eliminated to solve the system of questions. Choose the correct first step: -x+2y=-158x-2y=-20A. Add to eliminate x BSubtract to eliminate yC Add to eliminate y D Subtract to eliminate y
The given equations are
\(-x+2y=15\)\(8x-2y=20\)Adding both equations
\((-x+2y)+(8x-2y)=15+20\)\(7x=35\)\(x=5\)Hence we get the value of x by adding the equations.
The coefficients of y of the equations are 2 and -2 respectively. so if we add both equations the y term will vanish.
The answer is
Add to eliminate y.
State the domain, the range, and the intervals on which function is increasing decreasing, or constant in interval notation. State the domain and range using interval notation.
Answer:
\(Domain = (-\infty, \infty)\)
\(Range = (-\infty, 4]\)
Increasing interval is: \((-\infty, 0)\)
Decreasing interval is: \((0, \infty)\)
Constant at no interval
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The domain
From, the attached graph, we have:
\(y = -x^2 + 4\)
The degree of the polynomial (i.e 2) is even.
Hence, the domain is the set of all real numbers, i.e.
\(Domain = (-\infty, \infty)\)
Solving (b): The range
The curve of \(y = -x^2 + 4\) opens downward, and the maximum is:
\(y_{max} = 4\)
This means that the minimum is:
\(y_{mi n} = -\infty\)
Hence, the range of the set is:
\(Range = (-\infty, 4]\)
Solving (c): Interval where the function increases/decreases/constant
In (a), we have:
\(Domain = (-\infty, \infty)\)
Split to 2 (at vertex x = 0)
\((-\infty, 0)\) and \((0, \infty)\)
So:
The increasing interval is: \((-\infty, 0)\)
The decreasing interval is: \((0, \infty)\)
The function has a tangent at \(x = 0\) but at no interval, was the function constant
what is formula of a²+b²
The formula of the expression a² + b² is (a + b)² - 2ab
How to determine the formula of a² + b²From the question, we have the following parameters that can be used in our computation:
The expression, a² + b²
The above expression is a sum expression and it can be calculated from the following
(a + b)² = a² + b² + x
Where x is an unknown
When the bracket is expanded, we have
a² + b² + 2ab = a² + b² + x
Evaluate the like terms
So, we have
2ab = x
This means that
a² + b² = (a + b)² - 2ab
Hence, the formula of a² + b² is (a + b)² - 2ab
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HELP ASAP!
Select the correct answer from each drop-down menu.
Consider polygon JKLMNO on the coordinate grid.
Drop-down options
First one 17.07, 12.5, 25
Second 50, 30, 20
Third one 61, 47, 68.5, 37
The area of the polygon JKLMNO is 68.5 square units
The area of triangle MNOThe coordinates of the triangle are:
M = (-1, -5)
N = (-8, -6)
O = (-5, -2)
Calculate the base and the height of the triangle using:
\(d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2\)
So, we have:
\(ON = \sqrt{(-5+ 8)^2 +(-2 + 6)^2\)
ON = 5
\(OM = \sqrt{(-5+ 1)^2 +(-2 + 5)^2\)
OM = 5
The area is:
Area = 0.5 * ON * OM
This gives
Area = 0.5 * 5 * 5
Evaluate
Area = 12.5
Hence, the area of the triangle MNO is 12.5 square units
The perimeter of rectangle JLMOThe coordinates of the rectangle are:
J = (1, 6)
L = (5, 3)
M = (-1, -5)
O = (-5, -2)
Calculate the length and the width of the rectangle using:
\(d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2\)
So, we have:
\(OM = \sqrt{(-5+ 1)^2 +(-2 + 5)^2\)
OM = 5
\(ML = \sqrt{(-1 - 5)^2 + (-5 - 3)^2\)
ML = 10
The perimeter is:
Perimeter = 2 * (OM + ML)
This gives
Perimeter = 2 * (5 + 10)
Evaluate
Perimeter = 30
Hence, the perimeter of the rectangle JLMO is 30 units
The area of the polygonIn (a), we have:
The area of the triangle MNO is 12.5 square units
The area of the rectangle JKMO is:
Area = OM * ML
This gives
Area = 5 * 10 = 50
The coordinates of triangle JKL are:
J = (1, 6)
K = (5, 6)
L = (5, 3)
Calculate the base and the height of the triangle using:
\(d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2\)
So, we have:
\(KL = \sqrt{(5- 5)^2 +(3 - 6)^2\)
KL = 3
\(JK = \sqrt{(1- 5)^2 +(6 - 6)^2\)
JK = 4
The area of JKL is
Area = 0.5 * KL * JK
This gives
Area = 0.5 * 3 * 4
Area = 6
Add the three areas
Total area = 6 + 12.5 + 50
Evaluate
Total area = 68.5
Hence, the area of the polygon JKLMNO is 68.5 square units
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Help please!!!!!!!!!
the largest number in the sequence is 23, and the correct option is (j) 23.
How to find?
The sum of a sequence of consecutive odd numbers, where the smallest term is 1, can be expressed as the square of the number of terms in the sequence. Let n be the number of terms in the sequence. Then the sum of the sequence is:
1 + 3 + 5 + ... + (2n - 1) = n²2
We are given that the sum of one of these sequences is 144, so we can solve for n:
n²2 = 144
n = 12
Therefore, the sequence has 12 terms. To find the largest number in the sequence, we can use the formula for the nth term of a sequence of consecutive odd numbers:
a_n = 2n - 1
Substituting n = 12, we get:
a_12 = 2(12) - 1 = 23
Therefore, the largest number in the sequence is 23, and the answer is (j) 23.
Consecutive numbers are numbers that follow each other in order, with a difference of 1 between each pair of numbers.
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Help anyone can help me do this question,I will mark brainlest.
Answer:
Answer is in attached image
I hope it help...
Over what interval is the function in this graph constant?
Answer:
hjjjnnnhjjjjj
Step-by-step explanation:
answer is d
A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas
Answer: 360,000
Step-by-step explanation: First you would convert 12 kilometers to meters, which is 120,000. Then multiply that by 3. You get 360,000 meters. Therefore, the car can travel 360,000 meters on liters of gas.
Guys plz help me solve this question I’ve been trying for the past 40 minutes.
Answer:
x= -1.8
Step-by-step explanation:
4x-22=9x+2(1-4x)
2(1 - 4x)
so you have to distribute
new equation
4x-22=9x+2-8x
you combine like terms on the right
9x + 2 -8
+8. +8
17x+2
new equation
4x-22=17x+2
-4x. -4x
-22=13x + 2
-2. -2
-24=13x
-24÷13= - 1.8
X= -1.8
Answer:
\(4x - 22 = 9x + 2 - 4x \\ - x = 24 \\ x = - 24\)
Find the area of a circle with a
radius of 15 inches. Use the pi
button and round to the nearest
tenth of a square inch.
Answer:
A=pir²
Step-by-step explanation:
pi=3.14
r=15
r²=15²=225
A=225× 3.14= 706.5
I need help with Question 9 ?
Answer:
x/6 = 3/2
Step-by-step explanation:
Hwlsibdsja aka sus ejsnahabah HELP
Answer:
y = cos(x) -1
Step-by-step explanation:
The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.
y = cos(x) -1
A person places $6440 in an investment account earning an annual rate of 6.8%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 8 years.
Answer:
In 8 years, you will have $11,094.81
Step-by-step explanation:
Answer:
V=11095.3771≈11095.38
Step-by-step explanation:
Helppppppppppppppppp
Answer:
it is B
Step-by-step explanation:
just combine the like factors
A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.
At time t=0,
the standing wave can be mathematically expressed as
y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.
This means that the displacement of the string is zero at time t=0.
However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.
As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.
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let f(x)=4x+1 and g(x)=3x+k,find the value of k for which (fog)(x)=(gof)(x)
The value of k for given composition functions is 2/3.
With an example, define composition function.A function that depends on another function is referred to as a composite function. When one function is inserted into another, a composite function is produced. For instance, f(g(x)) is the composite function created when x in f is replaced with g(x) (x). You can interpret f(g(x)) as "f of g of x."
f(x)=4x+1
g(x) = 3x + k
(ƒ Ο g)(x) = f (g(x)) = 4(3x + k) + 1 = (4)(3x) + (4)(k) + 1 = 12x + 4k + 1
(g Ο f)(x) = g(f(x)) = 3(4x + 1) + k = (3) (4x) + (3) (1) + k = 12x + 3 + k
(fog)(x) = (go f)(x) 12x+4k+1=12x+3+k
4k+1 3+k
4k = 2+k
cancel 12x
subtract 1 from both sides
subtract k from both sides
3k = 2
divide both sides by 3
k = 2/3
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