The formula for determining the volume of a cylinder is expressed as
Volume = pi * radius^2 * height
Radius, r = diameter/2
Given that diameter = 4, r = 4/2 = 2 cm
height = 3.6 cm
pi = constant = 3.14
Volume = 3.14 * 2^2 * 3.6
Volume = 45.216 cm^3
Rounding up to the nearest whole number,
Volume = 45 cm^3
The correct option is number 3
Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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Help me please I need help x^2 - 8x + 16
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
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Completa la tabla. Escribe la razón de azúcar y limones
Answer:
wgqrgrregvqewbv
Step-by-step explanation:
All the applicants chose at least one of the three countries Egypt, Ghana and South Africa. A total of 2417 applicants chose Egypt as their favorite destination; 3500 applicants chose Ghana or South Africa as their favored destination. Of those that chose Egypt, 1233 also chose Ghana. 1031 applicants chose Ghana and South Africa, while 2014 chose Egypt or South Africa but not Ghana. Only 565 applicants indicated their preference for Egypt and Ghana but not South Africa. If 1803 did not indicate Egypt as their preferred destination, obtain the following:
The total number of applicants assessed. (5 marks)
The number of applicants who chose each of the three destinations only. (3 marks)
The most popular of the three destinations. (2 marks)
Answer:
hard quiz
Step-by-step explanation:
Which of the following is the correct if clause to determine whether y is in the range 10 through 50, inclusive? (Points : 1) A) ify>=10 and y <= 50: B) if10 > y and y < 50: C) if y >= 10 or y <= 50; D) if 10,y ory.50
We follow the inclusive rule, The answer to the question is (A) that is
if y>=10 and y <=50
What do you mean by intervals?In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.
What are the symbols and their meaning of the intervals?The intervals used are:
(a , b) , All the numbers between a & b without including them.
[a, b] , All the numbers between a & b including them.
y lies in [10,50].
And since it means that it includes 10 and 50 and all the numbers between them.
The final answer is (A) that is if y>1=10 and y <=50.
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Find the sum
(3/8-1/6m+5t) + (7/10m+9t+1/4)
Answer:
5/8 +8/15m+ 14t
Step-by-step explanation:
Combine your like terms, and you will get this.
Are 1/2(6x - 2) and 3 - x equivalent?
I really need help!
Answer:
No
Step-by-step explanation:
So, you can use the distributive property.
1/2(6x)=3x
1/2(-2)=-1
It is 3x-1, not 3-x
what are two numbers have a product of 20 and a sum of 9
Answer:
Step-by-step explanation:
Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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WHAT PROPERTY IS USED IN THIS EQAUATION (x + y)z = xz + yz
Answer:
Distributive Property.
Step-by-step explanation:
The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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Amelie travelled to her friend's house and her journey is shown on the distance-time graph below. She travelled the final 4 hours of her journey at a constant speed of 60 km/h. Work out the value of d. Distance travelled (km) 270- 0 3 Time (hours) -
The total distance traveled by Amelia to her friend's house is d = 510 miles
Given data ,
Let the distance traveled by Amelia to her friend's house be d
Now , the speed of the final 4 hours of her journey = 60 km/hr
So , the distance traveled in the final 4 hours = 4 x 60 = 240 km
And , the initial distance traveled = 270 km
So , from the graph
The total distance d = 270 + 240
d = 510 miles
Hence , the distance traveled by Amelia = 510 miles
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Question 2(Multiple Choice Worth 2 points)
(Rewriting Rational Numbers LC)
Which number gives the exact value of 45?
6
O
4.83
6
29
4.8
hj
The computation shows that the examples of values that will give the exact value of 45 will be:
✓9 × 156 × 9✓25 × ✓81How to compute the value?It should be noted the information is incomplete as the options aren't given and not properly written.
In this case, the examples will be given:
An example of value that will give 45 will be:
= ✓25 × ✓81
= 5 × 9
= 45
The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.
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-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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can i have help with this pls, no one will teach me it
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
what does the word "baking" means and of which language,this word belongs to?
Answer:to cook something to a certain degree and it belongs to English which derives from the old english version “bacan”
Step-by-step explanation:
Write v as the sum of two vector components if v = -5i+6j and w = 3i+4j
Vector v can be written as the sum of two vector components, \(v_x = -5i\) and \(v_y = 6j\)
To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.
v = -5i + 6j
w = 3i + 4j
We can decompose vector v into two components, one along the x-axis and the other along the y-axis.
Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)
The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:
\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)
Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:
\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)
Now, we can write vector v as the sum of its components:
\(v = v_x + v_y = -5i + 6j\)
So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.
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what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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HELP PLEASE FAST
I’ll get in trouble if I fail and this is already almost due
Which statement is true about the ratios of squares to
cicles in the tables? PLS HURRY!!!!
Answer:
show us a screenshot or image
or type it out, copy paste
Step-by-step explanation:
Simplify the expression
-2(5z -7)
Find the sum of the first n terms
using the formula:
a(1-rn)
1-r
85 +85(.9) +85(.9)² + ...
. (5 terms)
The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.
What is the sum of terms of a geometric sequence?Let's suppose its initial term is a , multiplication factor is r and let it has total n terms,
then, its sum is given as:
\(S_n = \dfra\)\(\dfrac{a(r^n-1)}{r-1}\)
(sum till nth term)
Given geometric sequence;
85 +85(.9) +85(.9)² + ...
a = 85
r = 0.9
its sum is given as:
\(S_n = \dfra\)\(\dfrac{a(r^n-1)}{r-1}\)
\(S_n = \dfrac{85(0.9^5-1)}{0.9-1}\\\\S_n = \dfrac{85(0.5904-1)}{-0.1}\\\\\\S_n = \dfrac{85(-0.4095)}{-0.1}\\\\S_n = 348.08\)
Thus,
The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.
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Using the line AB, name two line segments.ACBA,BoAB, CAC, CBCB,B
Point C is between points A and B, this point divides the line AB into two segments:
One segment goes from point A to point C and can be named line segment AC
The second segment goes from point C to point B and can be named line segment CB
The correct option is the third one AC,CB
Latifa writes down a number.
She says
If I find the cube root of that number and then quadruple
the answer, I get 16.
What number did Latifa write down?
Answer: 4
Step-by-step explanation: Because 4x4 is 16
Latifa writes down 64, as of the given conditions.
Given that,
Latifa writes down a number. She says If I find the cube root of that number and then quadruple the answer, I get is 16.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
[16 / 4]³ = x
x = 64
Thus, Latifa writes down 64, as of the given conditions.
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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It takes a motorboat twice as much to cover the distance going upstream as it takes it to cover the same distance going downstream. Write the ratio of the speed of the boat in still water to the speed of the current. PLS HELLLPPPP THIS IS DUE IN 3 MINS!!!!!!
Answer: Sorry for being late. Hope u passed!
Question 1 of 5
The two best runners, Imani and Jack finished first and second. (20 points)
Extra Content
In each of the following sentences, exactly one comma is missing. Determine where the missing comma should be placed, and choose the correct answer.
A after best
B. after Jack
C. after first
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
what is comma ?In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.
explanation :
If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.
Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
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what is 11 divided by 3/4 in fraction form
what is 1 and 1/4 divided by 1 and 2/5
Answer:
25/28
Step-by-step explanation:
Solve for k:
K/2 plus 1/2=3
Answer:v
vvre
Step-by-step explanation:
Answer:
K should be 5
Step-by-step explanation:
1/2 is .5 which leaves k/2 you need 2.5 to make three and 2.5*2 is 5 5/2 is 2.5 plus 5 is 3 therfore k is 5