\(\huge\underline\mathtt\colorbox{gold}{B}\)
{z^-2=1/z^2}
AND\(\huge\underline\mathtt\colorbox{silver}{D}\)
{(ab)^0=1}
Are both correct
The expressions which are simplified correctly are z⁻² = 1/z² and (ab)⁰ = 1 thus, options (B) and (D) are correct.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
In other words, the mathematics of power or exponent of any number is called indices.
In the second option,
z⁻² we know that every negative exponent will be positive when it comes to the denominator.
Thus, z⁻² = 1/z²
The last option
(ab)⁰ it is known that any number with power 0 will be 1.
Thus, (ab)⁰ = 1
Hence "The expressions which are simplified correctly are z⁻² = 1/z² and (ab)⁰ = 1".
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What is the highest value assumed by the loop counter in a correct for statement with the following header? for (i = 7; i <= 72; i += 7) 07 O 77 O 70 o 72
The highest value assumed by the loop counter in this case is 70.
In a correct for loop statement with the header
for (i = 7; i <= 72; i += 7)`, the highest value assumed by the loop counter is 70.
The loop in the question has the header `for (i = 7; i <= 72; i += 7)`.
This means that the loop counter `i` starts at 7 and will increase by 7 each time the loop runs.
The loop will continue to run as long as the loop counter `i` is less than or equal to 72.
So, the loop will execute for `72-7 / 7 + 1 = 10` times.
The loop counter will take the values: 7, 14, 21, 28, 35, 42, 49, 56, 63, and 70.
Therefore, the highest value assumed by the loop counter in this case is 70.
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ANSWER THIS FOR ME FAST PLEASE
Answer:
d
Step-by-step explanation:
15/100
Answer:
ok
Step-by-step explanation:
ok i will answer your question wait i dont know so never mind
Kate is 1 year and six months younger than her sister. If her sister is 14 years and 2 months old, how old is Kate?
Answer:
Kate is 13years and 4 months old,I suggest.
what is the correct way to report the length of the rectangle in centimeters? a ruler is adjacent to the rectangle. one edge of the rectangle is at the 0 cm mark. the other edge of the rectangle is between the 15.5 and 15.6 centimeter marks. select one: 15.6 cm highlight off info 15.600 cm 16 cm 15.60 cm
The length of the rectangle in centimeters is 15.60 cm.
The correct way to report the length of the rectangle in centimeters is 15.60 cm. To calculate the length of the rectangle, we must first calculate the distance between the two edges of the rectangle. To do this we can use the formula Distance = Final Position - Initial Position. Therefore, the distance between the two edges of the rectangle is 15.600 cm - 0 cm = 15.600 cm. This is the length of the rectangle, so the correct way to report the length of the rectangle in centimeters is 15.60 cm.
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A 3-pack of clay pots costs $4.17. What is the unit price?
The unit price of the clay pots is $1.39.
To find the unit price, we divide the total cost by the number of units.
In this case, the total cost of the 3-pack of clay pots is $4.17.
To find the unit price, we divide $4.17 by 3, which gives us $1.39.
Therefore, the unit price of the clay pots is $1.39.
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You are organizing books on a shelf. Each book has a width of 3/4 inch. Write and solve an inequality for the numbers of books b that can fit on the shelf.
Complete Question
You are organizing books on a shelf. Each book has a width of 3/4 inch. The number of shelves is 12.
Write and solve an inequality for the numbers of books b that can fit on the shelf.
Answer:
a) Inequality for the numbers of books b that can fit on the shelf
= b ≤ 3x/4
b) The numbers of books b that can fit on the shelf is b ≤ 9 books
Step-by-step explanation:
Let the number of books = b
Let us assume the number of shelves= x
Each book has a width of 3/4 inch.
Therefore,
b ≤ 3/4 × x
b ≤ 3x/4
If the number of the shelves is 12
Therefore, the number of books bis
b ≤ 3 × 12/4
b ≤ 9 books
Using trigonometry, work out the size of angle x in
the right-angled triangle below.
Give your answer in degrees to 1 d.p.
5.3 m
8.2 m
x
Answer:
40.3°
Step-by-step explanation:
sin x/ (5.3) = sin 90/ (8.2)
sin x = (5.3 sin 90) / 8.2
= 5.3/8.2
x = arcsin (5.3/8.2)
= 40.3° to 1 dp
The measure of angle x using Trigonometry is 40.263215° or 40.3.
Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.
Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.
From the figure,
Perpendicular = 5.3 m
Hypotenuse = 8.2 m
Using Trigonometry
sin x = P / H
sin x = 5.3/ 8.2
sin x = 0.6463
Using Inverse Trigonometry
x = \(sin^{-1}\)(0.6463)
x= 40.263215°
Thus, the measure of angle x is 40.3.
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(a) A square has an area of 81 cm. What is the length of each side? cm (b) A square has a perimeter of 8 m. What is the length of each side?
Answers:
(a) 9 cm
(b) 2 cm
======================================
Work shown for part (a)
A = s^2
s = sqrt(A)
s = sqrt(81)
s = 9
-----------------
Work shown for part (b)
P = 4s
s = P/4
s = 8/4
s = 2
The side length of the square with area of 81 cm² is :
↬ 9 cmThe side of the square with the perimeter of 8 m is :
↬ 2 mSolution:
We're given the area of a square : 81 cm².
To find one of its sides, we need to take the square root of that.
So we have:
\(\sf{Side\:length{\square}=\sqrt{81}} \\ \\ \sf{Side\:length\square=9}\)
We know that if we take the square root of 81, we will get two solutions: 9 and -9; however we cannot use -9, because having a negative side length is impossible.
So the side length is 9 cm.__________________________
To find the side length when given the perimeter, we divide it by 4, because the formula for a square's perimeter is P = 4a.
So if we rearrange that for a, we will get : a = P/4.
where a = side length
Solving,
a = 8/2a = 4Hence, the length of each side is 4 m.a company has developed a wristband for monitoring blood sugar levels without requiring direct blood samples. it is interested in demonstrating the accuracy of the device. what should the company do first?
Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample selected group of individuals from the neighborhood at random times throughout the day.
what is random sample?selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.
Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample selected group of individuals from the neighborhood at random times throughout the day.
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Brainliest!!!!! Please Help
Can these curves be the graphs of functions? (Hint: use the vertical line test.)
What is the area of δabc? round to the nearest tenth of a square unit. 3.9 square units 8.4 square units 11.8 square units 17.7 square units
The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,
Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:
A = √[s(s-a)(s-b)(s-c)]
Where s is one-half of the triangle's circumference and a, b, and c are its three sides.
By summing the triangle's sides, we can determine the perimeter:
P = a + b + c
The formula below is used to get the other half of the perimeter.
s = P/2
For the triangle ABC, we have the sides a=3, b=5, and c=4.
Therefore, half of the perimeter is s = 8.
Now, Heron's formula can be used to determine the triangle ABC's surface area:
A = √[s(s-a)(s-b)(s-c)]
= √[8(8-3)(8-5)(8-4)]
= √[8(5)(3)(4)]
= 17.7 square units
Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.
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Cruz purchased a large pizza for $12.75. It serves 5 people. What is the cost per serving?
$2.55 per serving
$2.60 per serving
$3.15 per serving
$7.55 per serving
If cruz purchased a large pizza for $12.75. It serves 5 people, the cost per serving of the pizza is $2.55. So, correct option is A.
To find the cost per serving of the pizza, we need to divide the total cost of the pizza by the number of servings. In this case, the pizza costs $12.75 and serves 5 people.
Therefore, the cost per serving can be calculated as:
Cost per serving = Total cost of pizza / Number of servings
Cost per serving = $12.75 / 5
Cost per serving = $2.55
So, the cost per serving of the pizza is $2.55.
When working with fractions or dividing quantities, we need to pay attention to the units involved. In this case, the units of the cost and the servings must match for the division to be meaningful.
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Where are the minimum and maximum values for f(x)=12cos2x−1 on the interval [0,2π]?
On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.
To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.
First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).
Next, we set f'(x) equal to zero and solve for x:
-24cos(x)sin(x) = 0
This equation is satisfied when cos(x) = 0 or sin(x) = 0.
For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.
For sin(x) = 0, we have x = 0 and x = π as critical points.
Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:
f(0) = 12cos^2(0) - 1 = 11
f(π/2) = 12cos^2(π/2) - 1 = -1
f(π) = 12cos^2(π) - 1 = 11
f(3π/2) = 12cos^2(3π/2) - 1 = -1
f(2π) = 12cos^2(2π) - 1 = 11
From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.
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The Rylands want to drive 360 miles in 8 hours. What is their average speed in miles per hour?
The average speed of the Rylands to drive 360 miles in time of 8 hours is equal to 45 miles per hour.
Total distance Rylands want to drive is equals to 360 miles
Total time taken by Rylands to drive 360 miles = 8 hours
Average speed is calculated by using formula,
Average Speed = Total Distance drive by Rylands / Time Taken by Rylands
Substitute the value of distance and time we have,
⇒ Average Speed = 360 miles / 8 hours
⇒ Average Speed = 45 miles per hour (mph)
Therefore, the Rylands' average speed is 45 mph to complete the 360 miles journey in 8 hours.
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Sean made 3 wood-fired pepperoni pizzas. 7 friends share the pizzas equally. How much pizza is each person getting?
*
Which fraction represents the ratio in this scenario?
1 point
7/3 of a pizza
3/7 of a pizza
3/10 of a pizza
10/7 of a pizza
Answer:
3/7
Step-by-step explanation:
Write the division of the pizzas as a ratio, and you will have it.
(3 pizzas)/(7 persons) = (3/7) pizza/person
__
Each person gets 3/7 of a pizza.
What are the solutions for the following system of equations?
-x² + 3y = 20
3x² + 6y = 60
O(-2, 8) and (2,8)
O(-2, 8) and (0, 10)
O (2,8) and (0, 10)
O (0, -10) and (0, 10)
Answer: (-2,8) and (2,8)
For solving the given equations we will elimination method
This method involves removing variables from the equations. Variables are removed successively until only a single last variable is left, i.e. until there is one equation with one unknown. This equation is then solved for the one unknown. The solution is then used in finding the second to last variable. The procedure is repeated by adding back variables as their solutions are found.
-x2 + 3y = 20 ……..(1)
3x2 + 6y = 60 ……………. (2)
Step -1 : Multiply the first equation by 3 this gives:
-3x2 + 9y = 60 …….(3)
3x2 + 6y = 60 ………….(2)
Step- 2 : Add the two equations. This gives
15y = 120
y = 8
Step – 3 : Solve for x in either of the original equations
-x2 + 3(8) = 20
-x2 + 24 = 20
x2 = 4
x = +2, -2
hence the solutions of the given equations are (2,8) and (-2,8)
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Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference
This is not the complete question, the complete question is:
Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y
A) 0
B) 33
C) 296
D) 303
E) 533
Answer: B) 33
Step-by-step explanation:
First lets say;
z: automobile claim amounts
x: the claim amount dived by 1000
y: x rounded to the nearest integer from 0 to 10
z ≅ V[0, 10,000]
x = z / 1000 ≅ V[0, 10 ] ⇒ Fx { 1/10, 0 ≤ x ≤ 10} 0, 0/10
y = {0, 0 ≤ x < 0.5
1, 0.5 ≤ x < 1.5
2, 1.5 ≤ x < 2.5
3, 2.5 ≤ x < 3.5
↓
9, 8.5 ≤ x < 9.5
10, 9.5 ≤ x < 10
SO 4th moment of x = E(x²) = ∫₀¹⁰x⁴ 1/10 dₓ
= 1/10 (x⁵ / 5)₀¹⁰
= 10⁵ / (10 * 5)
= 100000/50
= 2000
Now
4th moment of y = E(y⁴) = ∑/y y⁴ p( y=y)
= 0⁴p( y=0) + 1⁴p( y=1 ) + 2⁴p( y=2) + → + 10⁴p( y=10)
= 0 + 1⁴.p( 0.5 ≤ x < 1.5) + 2⁴.p( 1.5 ≤ x < 2.5) + 3⁴.p( 2.5 ≤ x < 3.5 ) + → + 10⁴.p( 9.5 ≤ x < 10 )
= 1/10 [ 1⁴(1.5 - 0.5) + 2⁴(2.5 - 1.5) + → + 9⁴(9.5 - 8.5) + 10⁴(10 - 9.5)]
= 1/10 [ 1⁴ + 2⁴ + → + 9⁴ + 1/2*10⁴] = 2033.3
now the absolute difference will be
AD = ║E(x⁴) - E(y⁴)║
= ║ 2000 - 2033.3║
= 33.3 ≈ 33
0.46口 1/3 need help lmk
Use your plan to find the temperature at the top of Mt Everest.
The temperature at the top can be found by evaluating the
expression —3— 58 (1).
Answer:
- 61
Step-by-step explanation:
-3 - 58 = -61
times 1 is
is -61
Once we have categorized an object, our memory of the object increasingly resembles thecategoryA) algorithm.B) prototype.C) heuristic.D) mental set
Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.
This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.
our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.
A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.
Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.
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if the average correlation among the items on an anxiety scale is r = .95, we can say that the scale has
Answer:
a strong and almost perfect positive linear correlation.
what is the slope of the line that goes through the points (-1 4) and (14 -2)?
Answer:
Slope is -0.4 or 2/5
Step-by-step explanation:
x , y x^2,y^2
(-1,4) (14,-2)
y^2-y^1/x^2-x^1
-2-4/14-(-1)
-6/15
=-2/5 or -0.4.
Hope this helps. If right pls give me brainliest thank you.
Answer:
it is -2/5
Step-by-step explanation:
Three of the following are examples of instrumental (operant) conditioning. Which one is not? Explain!!
a. When Raluca’s teacher praises her in class for her fine oral description of a mathematical problem, Raluca is embarrassed and vows never to act so smart in front of her friends again.
b. When Diallo changes the time of day that he does his homework, and finds that he is doing better than ever, he continues to do his homework at that new time.
c. When Danny tells a funny joke, his classmates all laugh. Danny soon becomes the class clown, telling jokes at every opportunity.
d. When Michelle discovers that she can leave her mathematics class early by complaining about a stomachache, she begins to get these "stomachaches" about once a week.
The example that is not an example of instrumental (operant) conditioning is option a.
When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.
Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.
Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.
In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.
In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.
However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.
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Why is it that we can buy a $100,000 car within 24 hours but must wait 60-90 days to buy a house?
The fact that may countries have a lot of processes involved in the purchase of a house makes the process last about 60-90 days.
Why does it take time to buy a house?
Buying a house is a very serious investment in so many countries. As a result of the process that are involved in buying the house, it may take about 60 - 90 days in order to complete the process of acquisition.
On the other hand, a car can be out rightly bought as it does not involve a lot of procedure.
Thus, the fact that may countries have a lot of processes involved in the purchase of a house makes the process last about 60-90 days.
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plz answer this
1.580 ml: 1.12 liter: 104ml
Answer:
??
Step-by-step explanation:
A triangle has sides with lengths of 86 centimeters, 90 centimeters, and 36 centimeters. Is it a right triangle?
Step-by-step explanation:
IF it is a right traingle , then the Pythagorean theorem would apply
c^2 = a^2 + b^2 where c is the longest side
does 90^2 = 86^2 + 36^2 ???
8100 = 7396 + 1296 ???
8100 = 8692 ??? NO....it is NOT a right triangle
find the ratio of 2 meters to 76 centimeters
The ratio of 2 meters to 76 centimetres is 50: 19.
How to find ratios of units?In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
In simpler terms, a ratio compares values.
Let's find the ratio of 2 meters to 76 centimetres as follows:
We have to first convert the units so they will be same.
Hence,
1 cm = 0.01 m
76 cm = ?
cross multiply
length in metres = 76 × 0.01
length in metres = 0.76 metres
Therefore, let's multiply the 2 units by 100.
0.76 × 100 = 76 metres
2 × 100 = 200 metres
In ratio, 200 : 76 will be simplified as 50 : 19
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Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution.
please help asap
Answer:
35=3x+0.5y.
Step-by-step explanation:
They ordered 11 cupcakes and 4 cookies
Answer:
Can u plzzz help me this question I’m struggling I’ll give u brainliest and plz show for the graph too! Plzz tysmmm
Step-by-step explanation:
Which equation is true when the value of X is -12?
A. 1/2x +22= 20
b 15 - (1/2)x=21
c 11- 2x= 17
d 3x- 19= -17
Answer: B is right
Step-by-step explanation: Check the file for steps
Find the zeros and the multiplicity of:
f(x) = x²(2x + 3)5(x − 4)²
Given function:
f(x) = x²(2x + 3)⁵(x - 4)²Zero's are:
1.
x² = 0x = 0, multiplicity of 22.
(2x + 3)⁵ = 02x + 3 = 0x = - 1.5, multiplicity of 53.
(x - 4)² = 0x - 4 = 0x = 4, multiplicity of 2Answer:
\(\textsf{$x=0$ with multiplicity 2.}\)
\(\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}\)
\(\textsf{$x=4$ with multiplicity 2.}\)
Step-by-step explanation:
The multiplicity of a zero refers to the number of times the associated factor appears in the factored form of the equation of a polynomial.
Given polynomial:
\(f(x)=x^2(2x+3)^5(x-4)^2\)
To find the zeros of the given polynomial in factored form, set each factor to zero and solve for x:
\(\implies x^2=0 \implies x=0\)
\(\implies 2x+3=0 \implies x=-\dfrac{3}{2}\)
\(\implies x-4=0 \implies x=4\)
As the factor "x" appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.
As the factor (2x - 3) appears five times in the factored form of the polynomial, the associated zero has multiplicity 5.
As the factor (x - 4) appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.
Solution
\(\textsf{$x=0$ with multiplicity 2.}\)
\(\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}\)
\(\textsf{$x=4$ with multiplicity 2.}\)