Answer:
827
Step-by-step explanation:
Simplify to a single power of 4:
Answer:
\(4^8\)
Step-by-step explanation:
Formula: \((a^b)^c = a^{bc}\)
Solve:
\((4^2)^4\)\(4^{2*4}\)\(4^8\)-Chetan K
The functiona f(x) and g(x) are shown on the graph.
What is g(x)?
f(x)
10
-5
g(x)
A
-10
A. 9(x) = -x2 - 4
B. g(x) = -x + 4
c. g(x) = (-x)² - 4
D. g(x) = (-x)2 + 4
Answer:
A. g(x) = -\(x^{2}\) - 4
Step-by-step explanation:
f(x) is flipped, so \(x^{2}\) becomes -\(x^{2}\).
After being flipped, the graph is move down 4 units.
Therefore, g(x) = -\(x^{2}\) - 4
20) For every 1 kilometer increase in altitude, the
temperature drops 7°C. Find the temperature
change for a 5 kilometer altitude increase.
Answer:
35 degrees hope this helps
Step-by-step explanation:
PLEASE HELP! I will give brainlist! Please help, I can't fail this test..
7 questions based on this exact same photo attached below - What is m<7, What is m<8, What is m<3, What is m<2, What is m<4, What is m
Answer:
b
Step-by-step explanation:
Um i dont knbow that
to what is 9% increased to get 79.57
Please help :(
Answer:
Step-by-step explanation:
6.57
What is a equivalent ratios
For 7:12
Answer:
An equivalent ratio can be 14:24.
willl mark you brainlieestttt
Answer:
C
Step-by-step explanation:
Answer:
- 7√10
Step-by-step explanation:
Step 1 : Take √10 common
2√10 - 5√10 - 4√10
= √10 ( 2 - 5 - 4 )
Step 2 : Subtract the numbers separately.
2 - 5 - 4
= 2 - 9
= - 7
Step 3 : Multiply √10 and - 7
√10 * - 7 = - 7√10
Assuming that all matrices are n x n and invertible, solve for D. CABT DACTB = CAT. OD=A-¹BTCB-¹(C)-¹B-¹ OD = (B7) ¹A-¹A7B-¹ (C7)-¹A-¹ OD= (A¹) ¹AC²B(A¹)-¹C-¹ OD = BTA-C-¹B-CA-¹ OD = (C¹) ¹B-¹A'B-¹ (CT)-¹A-¹
To solve for matrix D in the equation CAB⁻¹TDA⁻¹CTB⁻¹ = CAT, we can simplify the equation using matrix properties and inverse operations. The solution for D is given by D = BTA⁻¹ - C⁻¹B⁻¹A'B⁻¹(CT)⁻¹A⁻¹.
To arrive at this solution, let's analyze the equation step by step. We start by multiplying both sides of the equation by A⁻¹ from the left, giving us CAB⁻¹TD = CTB⁻¹. Next, we multiply both sides by B⁻¹ from the right, resulting in CAB⁻¹TDA⁻¹ = CT. Then, we multiply both sides by C⁻¹ from the left, obtaining B⁻¹TDA⁻¹ = C⁻¹CT. To isolate matrix D, we multiply both sides by B⁻¹T⁻¹ from the left, which cancels out the B⁻¹T on the left-hand side. This yields D = BTA⁻¹ - C⁻¹B⁻¹A'B⁻¹(CT)⁻¹A⁻¹.
The solution for matrix D in the equation CAB⁻¹TDA⁻¹CTB⁻¹ = CAT is given by D = BTA⁻¹ - C⁻¹B⁻¹A'B⁻¹(CT)⁻¹A⁻¹. This solution is derived by applying inverse operations and simplifying the equation step by step to isolate matrix D on one side of the equation.
Learn more about matrix properties here: brainly.com/question/11523230
#SPJ11
Ricardo está lendo um livro. Em um dia ele leu 1/3 do livro e no dia seguinte leu 1/6 do livro. Então calcule: a) A fração do livro que ele já leu b) A fração do livro que falta para ele terminar a leitura
2x + 3y = 12
2x - y = 4
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
) a stick is broken into three pieces by picking two points independently and uniformly along the stick, and breaking the stick at those two points. what is the probability that the three pieces can be assembled into a triangle?
The probability that the three pieces can be assembled into a triangle is 25%
Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square,
Thus, the probability that the three pieces can be assembled into a triangle is 25%
To learn more about probability refer here
https://brainly.com/question/25870256
#SPJ4
In an opinion poll, 30% of 500 people sampled said they were strongly opposed to the state lottery. What is the approximate standard error of the sample proportion?
The approximate standard error of the sample proportion is approximately 0.0205.
To calculate the approximate standard error of the sample proportion, we can use the formula:
Standard Error = sqrt((p * (1 - p)) / n)
where:
p is the sample proportion (expressed as a decimal)
n is the sample size
In this case, the sample proportion is 30% or 0.30, and the sample size is 500.
Standard Error = sqrt((0.30 * (1 - 0.30)) / 500)
Standard Error = sqrt((0.30 * 0.70) / 500)
Standard Error = sqrt(0.21 / 500)
Standard Error ≈ 0.0244
Therefore, the approximate standard error of the sample proportion is approximately 0.0244.
Learn more about standard error here
https://brainly.com/question/1191244
#SPJ11
The Really Spicy Hot Sauce Company decides to make a special-edition, extra-spicy version of its Really Spicy Hot Sauce. Expected demand for the special-edition version of their hot sauce is estimated to be 5000, normally distributed with a standard deviation of 1200. It will cost $2.50 to make each bottle; the bottles are intended to sell for $20. Whatever doesn't sell will be given to employees as a gift, thus earning $0 in revenue. Because it takes 3 years for the hot sauce to fully ferment and mature, the Really Spicy Hot Sauce Company can only make one batch of the special-edition hot sauce. How many bottles should the company make in order to maximize their expected profit? ______________
Question 23 3 pts Which if the following statement is correct? (i) For any data set D5 is same as mean (ii) (ii) For any data set P 50 = Q2 = D5 (iii) (iii) For any data set z-score must be always positive
A. Both (i) and (ii)
B. Only (ii)
C. Both (ii) and (iii) D. only (iii) E. Only (i)
For any data set P 50 = Q2 = D5 - This statement is correct. P50 represents the 50th percentile of the data set, Q2 represents the second quartile, and D5 represents the 5th decile. All of these values are the same, and they all represent the median of the data set.
The correct answer is B. Only (ii) For any data set P 50 = Q2 = D5 .
(i) For any data set D5 is same as mean - This statement is incorrect. D5 represents the 5th decile of the data set, while the mean is the average of all the data points. These two values are not always the same.
(iii) For any data set z-score must be always positive - This statement is incorrect. The z-score can be positive, negative, or zero, depending on the value of the data point relative to the mean of the data set.
Therefore, the correct answer is B. Only (ii).
know more about mean here
https://brainly.com/question/30112112#
#SPJ11
the Olympic record for the men's 100m freestyle is 47 seconds. the Olympic record for the women's 50m freestyle is 24 seconds. what was each rate of speed? which record is the faster speed?
Answer:
Step-by-step explanation:
The unit rate of the 100m race is 2.12... m/s which you get by dividing the 100 meters by the 47 seconds. The unit rate for the 50m race is 2.08... m/s which you get by dividing the 50 meters by the 24 seconds. This means that the record for the 100m race is faster.
What is the slope please help
Which of tha following describes the graph of a quadratic function? O a. It opens to the right O b. It opens to the left O c. Its axis of symmetry is a vertical line O d. Its axis of symmetry is a horizontal line
A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.
What does the term "quadratic function" mean?
A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.
The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."
Learn more about quadratic function
brainly.com/question/27958964
#SPJ4
Using the Factor Theorem, determine which of the following is a factor of the polynomial f (x) = x3 – x2 – 3x – 1.
Answer:
One factor is x+1.
Step-by-step explanation:
f(x) = x^3 - x^2 - 3x - 1.
The factor theorem states that if x-a is a factor of f(x) then f(a) = 0.
Try x = 1 (to see if (x-1) is a factor:
f(1) = 1 - 1 - 3 - 1 = -4. This is not zero so x-1 NOT a factor.
Try f(-1) = -1 - 1 + 3 - 1 = -3 + 3 = 0
So x+1 is a factor.
The one factor of the given polynomial is (x + 1).
What is polynomial?A polynomial is an expression that consists of variables (or indeterminate), terms, exponents and constants.
What is factor theorem?According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number then, (x-a) is a factor of f(x), if f(a)=0.
According to the given question
We have a polynomial
\(f(x) = x^{3} -x^{2} -3x-1\)
For finding the factors of the given polynomial, substitute f(x) = 0.
⇒\(x^{3} -x^{2}-3x-1=0\)
⇒ \((x+1)(x^{2} -2x-1)=0\)
Therefore, the one factor of the given polynomial is (x + 1).
Learn more about factor theorem here:
https://brainly.com/question/17092136
#SPJ2
4 more than the difference of 12 and a number j
The algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j
How to determine the arithmetic expression?The mathematical statement is given as:
4 more than the difference of 12 and a number j
4 more than means 4 +.
So, we have:
4 + the difference of 12 and a number j
the difference of 12 and a number j means 12 - j
So, we have
4 + 12 - j
Hence, the algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j
Read more about algebraic expression at
https://brainly.com/question/4344214
#SPJ1
please help me immediately
The arithmetic mean of 3 numbers is less than 20.The first number is 5 and the second number is 25.Find the possible values for the third no number.
Answer:
The third number can be any number less than 30.
Step-by-step explanation:
If the arithmetic mean of three numbers is less than 20, then their sum must be less than 20 * 3, or 60. We know that two of the numbers are 5 and 25, which add up to 30. In order for the arithmetic mean of the three numbers to be less than 20, the unknown number must be less than (60 - 30), or in order words, less than 30. So the third number can be any number less than 30.
Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
1,100,300 in written in words please!
Answer:
one million one hundred thousand three hundred
one of the biggest ethical issues many marketers face today relates to _____________.
One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.
In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.
Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.
To know more about ethical issues,
https://brainly.com/question/32499544
#SPJ11
use the limit process to find the slope of the graph of the function at the specified point
The slope is the ratio of the vertical change between two points the rise to the horizontal change between the same two points.The slope of a line is respresented with (\(x_{1}\),\(y_{1}\)) represents the first point whereas (\(x_{2}\),\(y_{2}\)) represents the second point.
we find the slope of the graph of the function at the specified point firstly we pick two points on the given line and determine the cordinates.find out the difference in y coordinates of two points and also find out the difference in x coordinates of two points ,than divided the difference in y coordinates by the difference in x coordinates.
To learn more about slope of the graph,click here.
brainly.com/question/6977538
#SPJ4
Which graph is given by the equation y = 4x - 4?
A)
B)
D
Answer:
C.
Step-by-step explanation:
Show the validity of the argument providing your own predicate key:
Every kitchen has a fridge. Some kitchens have a dishwasher. Therefore, some kitchens have both a fridge and a dishwasher.
The argument is valid, as it follows a logical pattern where the presence of a fridge and a dishwasher in some kitchens is derived from the fact that every kitchen has a fridge and some kitchens have a dishwasher.
The argument presented follows a valid logical pattern and can be demonstrated as valid by using a basic logical structure. Let's break it down:
Premise 1: Every kitchen has a fridge.
This statement establishes that in every kitchen, there is a fridge. It is a general statement that applies to all kitchens.
Premise 2: Some kitchens have a dishwasher.
This statement introduces the idea that there are kitchens that have a dishwasher. It does not state that all kitchens have a dishwasher, but it acknowledges that there is at least one kitchen with a dishwasher.
Conclusion: Therefore, some kitchens have both a fridge and a dishwasher.
The conclusion logically follows from the two premises. Since every kitchen has a fridge (Premise 1), and some kitchens have a dishwasher (Premise 2), it is reasonable to conclude that there must be at least one kitchen that has both a fridge and a dishwasher.
The conclusion is supported by the premises, and the argument is valid. It demonstrates that there exists a subset of kitchens that possess both a fridge and a dishwasher, based on the information provided in the premises.
Learn more about logical pattern here:
https://brainly.com/question/1821892
#SPJ11
A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
A right triangle follows Pythagoras theorem.
So let's see if the following triangle do so.
(hypotenuse)² = (base)² + (altitude)²
10² = 6² + 8²
100 = 36 + 64
100 = 100
The given triangle follows the Pythagoras theorem.
So, the triangle is a right triangle.
The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. each t-shirt weighed startfraction one-half endfraction. of a pound, and each sweatshirt weighed startfraction 3 over 4 endfraction of a pound. the total weight of the contents of the box was 43 and startfraction 3 over 4 endfraction pounds. which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered? startfraction one-half endfraction t plus startfraction 3 over 4 endfraction s equals 43 and startfraction 3 over 4 endfraction startfraction 3 over 4 endfraction s equals negative startfraction one-half endfraction s plus 43 and startfraction 3 over 4 endfraction. 2t 3s = 175 3s = –2t 175
2t + 3s = 175 is the standard linear equation.
What are linear equations?
Equations of the first order are linear equations. Lines in the coordinate system are determined by linear equations. It is referred to be a linear equation in one variable when the equation only contains one homogeneous variable of degree 1. There might be more than one variable in a linear equation. Linear equations in two variables, for example, are those that have two variables in them.
Let the number of t-shirts = x = t
and the number of sweatshirts = y = s
Each t-shirt weighed 1/2 of a pound and the sweatshirt weighed 3/4 of a pound.
Total weight of t-shirt = \(\frac{1}{2}x\) pounds
Total weight of sweatshirt = \(\frac{3}{4} y\) pounds
Now, the total weight of the items in the box = \(43\frac{3}{4}\) pounds
∴ The total weight of the items = \(\frac{1}{2}x+\frac{3}{4} y\)
=> \(\frac{1}{2}x+\frac{3}{4} y=43\frac{3}{4}=\frac{4.13+3}{4}=\frac{175}{4}\)
Simplifying, we get,
2x + 3y = 175 or
2t + 3s = 175
Therefore, the equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered is 2t + 3s = 175.
To learn more about linear equations, visit the following link:
https://brainly.com/question/11897796
#SPJ1
The standard linear equation that represents the number of t-shirts 't' and the number of sweatshirts 's', that were ordered is 2t + 3s = 175.
What is an equation?An equation is the combination of variables, coefficients, and the constant with an arithmetic operation in between them. An equation represents a mathematical relationship between two expressions.Depending on the degree of the variables, the type of the equation is defined.For a degree 1, it is said to be a linear equation (for one or two variables).and for a degree 2, it is said to be a quadratic equation, etc.Calculation:The given data about the orders of shirts and sweatshirts by a 10th-grade class officer is as follows:
The number of t-shirts ordered by them = t
The number of sweatshirts ordered by them = s
The weight of the t-shirts = 1/2 t pounds
The weight of the sweatshirts = 3/4 s pounds
But it is given that, the total weight of the contents of the box = 43 3/4
I.e., 1/2 t + 3/4 s = 43 3/4
On simplifying, we get
(2t + 3s)/4 = 175/4
⇒ 2t + 3s = 175
Thus, the required linear equation is 2t + 3s = 175.
Learn more about a linear equation at the following link:
https://brainly.com/question/12788590
#SPJ1
Maggie made 4 valentines in 6 hours.
What is the RATE of valentines made PER hour?
Donavan and Jones are randomly choosing chalices to drink from. 4 of the chalices contain purified water, 5 contain spoiled milk, and 6 contain diluted flat soda. Jones gets to choose a chalice from the remaining ones after Donavan drinks from 3 of them. If the chances of Jones choosing a chalice with purified water is then 1/3, how many of the chalices that Donavan drank out of contained purified water?
Answer:
0
Step-by-step explanation:
Chalice with purified water = 4
With spoiled milk = 5
With flat soda = 6
Probability of Jones drinking from a chalice with purified water after Donovan had drank from 3 = 1/3
Probability = required outcome / Total possible outcomes
Total possible outcomes = (4 + 5 + 6) = 15
After Donovan drinks 3 :
Total possible outcomes = (15 - 3) = 12
If the probability of Jones choosing a chalice with purified water is 1/3 then :
(Required outcome / Total possible outcomes) =1 /3
(Required outcome / 12) = 1 / 3
Required outcome * 3 = 12
Required outcome = 12 / 3
Required outcome = 4
Therefore, since initial number of chalice with purified water is 4,
4 - 4 = 0
Then Donovan did not drink from a chalice containing purified water.