Answer:
f(-4) = 5
Step-by-step explanation:
Explanation of
_
| 5, x < -3
f(x) | 2x² - 4, -3 ≤ x ≤ 4
| 1 - 6x , x > 4
_
When the x in f(x) is less than -3 than f(x) = 5
When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4
When the x in f(x) is greater than 4 than f(x) = 1 - 6x
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Now that we know this lets look back at the question.
We want to find f(-4).
Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5
For the graph, name the parent function and write an equation of the graph.
This is a transformation of the parent square root function, and it can be written as:
f(x) = √(-x + 4) - 2
Which is the parent function graphed?
It is ratter easy to identify the shape of the general square root function:
f(x) = √x
The only difference is that now it opens to the left, and it starts at the point (4, -2)
Then:
The sign of the x must be negative.
And with the known vertex we can write the equation:
f(x) = √(-x + 4) - 2
That is the graphed function.
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Before the search and collection of evidence, there must be _______.
A. Informed consent by the owner
B. A crime
C. A chain of custody
D. A search warrant
I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.
Answer:
D) A search warrant
Step-by-step explanation:
A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.
Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.
By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.
cultural anthropologists distinguish between ideal behavior (what people are expected to do) and real behavior (what people actually do)
Because cultural anthropologists are studying culture as it is and not as it would like it to be, anthropologists are concerned with actual behavior as opposed to ideal behavior.
A given group's social behavior, customs, achievements, and values are collectively referred to as its culture. It is the only thing that unites everyone in a society, regardless of country, social class, ethnicity, or religion. These things can be both material and immaterial, such as the importance of family or the customary dishes of a culture.
Anthropologists are unable to gather data with accuracy when people idealize their actions in front of them. Their entire study may be in jeopardy if they use false data.
Real culture is defined as the observed and quantified values, customs, and beliefs of a particular civilization. There may be a right and incorrect way to accomplish something in a culture, but exceptions are always possible. While some goals might be seen or expected, there is always room for the rules to be bent or even ignored in some circumstances because no civilization on Earth is genuinely an ideal society. As a result, there are lots of ambiguities.The ideals, customs, and viewpoints that a particular civilization professes to uphold or wants to do so are referred to as ideal culture in contrast to real culture. Instead of the reality that can be seen, it is the aim of a particular culture. Civilization is said to have an ideal culture when all of its members adhere to indisputable values and norms and act in ways that are generally seen as immoral. In an ideal culture, there are fewer exceptions and more clear-cut "rules." No society can, however, really live up to all of its values because people are fallible and frequently break the law.to know more about ' anthropology' try:
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A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise
at least 3 times a week. A simple random sample of 250 students was selected. Let a = the proportion of students in
the sample who claimed to work out at least 3 times a week.
What is the shape of the sampling distribution of and why?
O approximately Normal, because all sampling distributions are approximately Normal
o approximately Normal, because we would expect at least 10 success and 10 failures
O skewed to the right, because 0.31 is lower than 0.5
O skewed to the left, because 0.31 is lower than 0.5
Answer:
B
Step-by-step explanation:
Find the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity.
Step-by-step explanation:
To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due ($32,000)
- PMT is the monthly payment we want to find
- r is the annual interest rate (7.9%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**
Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.
Sierra says that she can simplify the left side of the inequality shown by combining the terms within the parentheses but that she can't do the same thing on the right side. Is Sierra correct? Explain.
4(-4 + 9) + 1 ≥ -2(y + 7) - 8
Answer: Yes, Sierra is correct.
Step-By-Step Explanation:
The parenthesis on the left side is (-4+9). This can be combined because both terms are two constants. Constants are any terms in a algebraic equation or inequality whose value does not changed and is pre-defined. In this parenthesis, the answer would be 5.
The parenthesis on the right side contains one constant (7) and one variable (y). Since you can only combine like terms, y and 7 cannot be combined. Therefore, you cannot combine the right-side parenthesis.
So, Sierra is correct
What is 1 1/2 + 3/16
Which of the following are solutions to the inequality below? Select all that apply. 89 < 12 h
Answer:
7.4 < h
Step-by-step explanation:
89 < 12h
Divided both sides by 12
7.4 < h
The answer is:
⇨ h > 7.417Work/explanation:
The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.
So I divide each side by 12
\(\bf{7.417 < h}\)
Hence, h > 7.417List the sample space for rolling a fair 12-sided die.
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}
The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
What is sample space?Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.
In the given question,
The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.
Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.
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what are the two integers that the square root of 108 fall between
It can be observed that number 108 lie between 100 and 121, two numbers which are perfect square.
So square root of 108 fall between square root of 100 and square root of 121.
Determine the square root of 100 and 121.
\(\sqrt[]{100}=10\)\(\sqrt[]{121}=11\)So square root of 108 fall between two integers 10 and 11.
PLS HELP..... WILL MARK BRAINLIEST!!!!!!!!!!
Carmen used her knowledge of angle relationships to find the value of x in the diagram.
What is the value of x?
x = 5
x = 9
x = 13
x = 16
Answer:
the answer is 9
Step-by-step explanation:
Since the angles are alternate exterior angles they are the same
6x + 5 = 7x - 4
Subtract 6x from both sides
5 = x - 4
Add 4 to both sides
9 = x
Answer:
x = 9
Step-by-step explanation:
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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Cooper opened a savings account with $800 that pays no interest. He deposits an
additional $100 each week thereafter. How much money would Cooper have in the
account 26 weeks after opening the account?
Hi! Please answer this! I will give the first comment brainliest! Thank you so much, this is the last question on my test so please answer❤️
This is an arithmetic sequence question
Answer:
$3400
Step-by-step explanation:
800+(26x100)
x^2 - 2x factorise fully
Answer:
(x-2)*x
Step-by-step explanation:
\(x^{2}-2x\)
its maximum common divisor is x
\(\frac{x^{2}-2x }{x}\)
\((x-2)*x\)
1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
A store advertises that sweatshirts will be sold at 35% off the regular price which expression would be used to represent the value of the sale price P for the sweatshirts that are on sale
Answer: i think it will be 4 year
Step-by-step explanation:
4/23
6-9+79
It takes 3 gardeners 30 minutes to plant 18 trees. How many gardeners would it take to plant 45 trees in 45 minutes
Answer:
It will take 7.5 gardeners to plant 45 trees in 45 minutes
Step-by-step explanation:
It takes 3 gardeners 30 minutes to plant 18 trees.
Let's determine the rate of this 3 gardeners
Rate= 18 trees/30 minutes
Rate= 2/5 trees per minute
So 3 gardeners= 2/5 trees per minute
But then one Gardner= 2/(3*5) trees per minute
One Gardner=2/15 trees per minute
Let's determine the number of gardeners it will take to plant 45 trees in 45 minutes
One Gardner=2/15 trees per minute
X(22 /3)= 2/15*(22.5/3)
It will take 7.5 gardeners to plant 45 trees in 45 minutes
please help i have to make sure everything is right, if not please fix it.
Part 1: The polynomial that represents the area of the hot tub = x² ft²; pool = (12x²-60x+75)ft² ; patio =.
Part 2: Cost of hot tub= $320; pool=$2541; patio = $104
How to determine the area of the hot tub, pool and patio?To determine the area of the hot tub, pool and patio is carried out using the formula for the area of rectangle. That is; Area of rectangle = length× width
For the hot tub:length = X ft
width = X ft
area = x² ft²
For the pool;length = (6x-15) ft
width = (2x-5) ft
area = 6x -15× 2x-5
= 12x²-30x-30x+75
= (12x²-60x+75)ft²
For patio:length= (10x-12) ft
width = 2 +(2x-5)
= (2x-3) ft²
The cost of hot tub, pool and patio when X= 8 would be as follows:
For hot tub:area = x²
X = 8
area = 64ft²
But 1 ft² = 5$
64 ft² = ?
cost of hot hub = 64×5 = $320
For pool;area = (12x²-60x+75)ft²
where X = 8
area = 12(8)²-60(8)+75
= 768-480+75
= 363ft²
But 1 ft² = $7
363ft² = ?
cost of the pool = 363×7 =$2541
For patio:Area = (2x-3) ft²
X = 8
area = 2(8)-3
= 13ft
But 1 ft² = $8
. 13ft² = ?
Cost of patio = 13×8 = $104
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Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
HELP PLEASE URGENT!!!
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 38 meters above the ground?
answer in minutes.
The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.
To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.
The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.
When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.
The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.
To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.
The formula is:
θ = arcsin(h / r)
where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).
θ = arcsin(38 / 29) ≈ 1.0918 radians
Now, we know the angle at which the Ferris wheel is 38 meters above the ground.
To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.
The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.
Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:
Fraction = θ / (2π) ≈ 1.0918 / (2π)
Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:
Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes
Calculating this expression will give us the answer in minutes.
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Evaluate log4 25 using common logarithms or natural logarithms. Round your answer to the nearest thousandth.
log4 25
Answer: 20 log (2)
Step-by-step explanation:
Answer: Logarithms are mathematical functions that are used to represent the relationship between two quantities that are related by a power law. For example, if we have an exponential equation like 2^x = 8, we can use logarithms to solve for x: log2 8 = x.
In general, logarithms are written in the form logb a, where b is the base of the logarithm and a is the number we want to take the logarithm of. There are several different bases in that logarithms can be written in, including the common logarithm (base 10) and the natural logarithm (base e).
To evaluate a logarithm, we need to use the logarithmic properties and the change of base formula. One important property of logarithms is that logb (xy) = logb x + logb y. Another property is that logb (x/y) = logb x - logb y.
The change of base formula is used when we need to evaluate a logarithm in a different base than the one given. The formula is:
logb a = logc a / logc b
where c is any base other than b or a. By using this formula, we can convert a logarithm from one base to another in order to evaluate it using a calculator.
In the case of log4 25, we can use the common logarithm (base 10) or the natural logarithm (base e) to evaluate the logarithm. Using the change of base formula with the common logarithm, we have:
log4 25 = log(25) / log(4)
Using a calculator, we find that log(25) ≈ 1.39794 and log(4) ≈ 0.60206, so:
log4 25 ≈ 1.39794 / 0.60206
Simplifying this expression, we get:
log4 25 ≈ 2.32193
Rounding to the nearest thousandth, we get:
log4 25 ≈ 2.322
So, the value of log4 25 to the nearest thousandth is 2.322.
Step-by-step explanation:
If u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uov)(x)
Answer:
Do my question i will do yours
Step-by-step explanation:
Answer:
The Answer is C
Step-by-step explanation:
What is a counterexample? "If a number is an integer, then it is either positive or negative."
Answer:
POSITIVE THANK ME LATER
Step-by-step explanation:
What is the area of the parallelogram 60ftx67ft-52ft
To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.
New height = 67ft - 52ft = 15ft
Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.
Therefore, the area of the parallelogram is 900 square feet.
~~~Harsha~~~
The base of a ladder is placed 6 ft from the bottom of the house. The ladder touches the
side of the house 8 ft up on the wall. Calculate the length of the ladder.
Answer:
10 ft
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw a picture. The ladder is the hypotenuse of a right triangle with legs of length 6 ft and 8 ft.
length of ladder = √(6²+8²) = 10 ft
What had the biggest effect on the earths orbit about the sun , explain.
Answer:
The Earth's orbit makes a circle around the sun. At the same time the earth orbits around the sun, it also spins. In science, we cal that rotating on its axis. Since the earth orbits the sun AND rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (-4,3) and parallel to the line whose equation is 3x - 4y-5-0
The equation of the line in point-slope form is.
(Type an equation. Use integers or fractions for any numbers in the equation.)
Answer:
I don't know it this question
Step-by-step explanation:
rfhdwhjgdshmfsaghjjdsdbj
Please help
Me
I need to finish this I will give brainlest
Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.
what is parallel lines?In geometry, parallel lines are coplanar unlimited lines that never cross. In a particular three-dimensional space, the parallel planes represent the ones that never cross. Parallel curves are those with a constant minimum separation between them and no places of contact or intersection. In geometry, parallel lines are two lines which run in the exact same plane, evenly spaced apart, and hadn't cross. Both vertical and horizontal can be used. In commonplace items like train tracks, stacks of notebooks, and crossings for pedestrians, straight lines can be seen.
The form of Jackson's poster is best described as a rhombus. A quadrilateral with a rhombus has opposing sides that are parallel and all of its sides are equal. Additionally, it has congruent opposing angles. In addition to having parallel opposing sides, a parallelogram also has non-congruent sides and angles. Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.
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20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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