Answer:
15x^3·y
Step-by-step explanation:
The numbers 60, 45, 75 are all multiples of 15, so 15 is their greatest common factor.
The least power of the factor x is 3; the least power of the factor y is 1, so the GCF is ...
GCF = 15·x^3·y
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6th year, the tree was \frac{1}{5} taller than it was at the end of the 4th year. by how many feet did the height of the tree increase each year?
the value 5 is a an upper bound for the zeros of the function shown below f(x)=x^4+x^3-11x^2-9x+18
A. TRUE
B. FALSE
Answer:
Answer to this question is TRUE.
Step-by-step explanation:
The graph of the function:
[tex]f(x)=x^4+x^3-11x^2-9x+18[/tex] is attached to the answer.
Clearly by looking at the graph we could see that the zeros of the function f(x) are -3, -2, 1 and 3.
All the zeros are distinct.
" Also upper bound of a number 'p' means the set of all those numbers which are greater than 'p' ".
Here 5 will be an upper bound for the zeros of the function f(x) since all the 4 zeros of f(x) are less than 5.
Hence, the given statement that the value 5 is an upper bound for the zeros of the function f(x) is TRUE.
Answer:
true
Step-by-step explanation:
Last week christi spent 2 3/4 hours playing piano this week she spent 3 2/4 hours playing the piano how much more time did she play the piano this week
It’s 3/4 hours which is 40 mins how I did this was I did that then I finished BOOM DONE KID
BRAINLIESTTT ASAP!
please answer
What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HELP
Answer:
The sum of 8 terms of series is 959,780
D is correct
Step-by-step explanation:
Given: -4, 24, -144, ......
There are 8 terms.
We need to find the sum of 8 terms.
First term, a=-4
Common ratio, r=-6
[tex]a_n=-4\cdot(-6)^{n-1}[/tex]
Sum of 8 term
[tex]Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8[/tex]
[tex]Sum=\sum_{n=1}^{8}a_n[/tex]
[tex]Sum=-4+24-144+864-5184+31104-186624+1119744[/tex]
[tex]Sum=959,780[/tex]
Hence, The sum of 8 terms of series is 959,780
The common stock of air united had annual returns of 13.7 percent, 4.8 percent, -6.7 percent, and 27.9 percent over the last four years, respectively. what is the standard deviation of these returns?
Need help to write equations for 5, 6 & 7
helpppp! pls! 10 points
Find the distance d from (6.1, 5.9) to (-5.9, -4.1) .
A.
6.63
B.
15.62
C.
22.00
D.
244.00
Answer:
your answer is B
Step-by-step explanation:
A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
A man weighing 180 lb has burned approximately 100 calories by jogging one mile, based on the average estimate that jogging one mile burns almost 100 calories.
The question relates to the calculation of calories burned during exercise, specifically jogging. Based on the information provided that running or jogging one mile burns almost 100 calories, we can calculate the energy expenditure for a man weighing 180 lb who jogs a mile in 8 minutes.
Since the provided calories burned per mile is an average, the actual number might vary slightly based on individual metabolism and effort level, but it serves as a useful approximation.
To determine how many calories the man has used up, we can use the given information:
Running or jogging one mile burns almost 100 calories.The man jogs a mile, which means he has burned approximately 100 calories for that activity.Therefore, the man has burned approximately 100 calories during his 8-minute mile jog.
What is the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches?
A. 45 inches
B. 9 inches
C. 15 inches
D. 14 inches
We have to determine the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches.
Since ,we can observe that AB and CD are chords intersecting at point E.
Therefore, by intersecting chord theorem which states:
" When two chords intersect each other inside a circle, the products of their segments are equal"
So, [tex] AE \times EB= CE \times ED [/tex]
[tex] 15 \times 3= CE \times 5 [/tex]
[tex] 45= CE \times 5 [/tex]
[tex] CE = \frac{45}{5} [/tex]
CE = 9 inches.
So, the measure of segment CE is 9 inches.
So, Option B is the correct answer.
Suppose y varies directly with x and y=-25 when x=5. find y when x=3
Final answer:
To solve for y when x = 3, we first determined the constant of proportionality (k) using the given values (y = -25 when x = 5). With k found to be -5, we then calculated y for x = 3 to find that y = -15.
Explanation:
The question asks us to find the value of y when x = 3 given that y varies directly with x and that y = -25 when x = 5. Because y is directly proportional to x, we can write the relationship as y = kx, where k is the constant of proportionality.
First, we solve for k:
Set up the equation based on the given information: y = kx
Substitute the known values: -25 = k(5)
Solve for k: k = -25 / 5 = -5.
Now that we have found k, we can use it to find y when x = 3:
Use the determined value of k: y = -5(3)
Multiply to find y: y = -15.
Therefore, when x = 3, y is -15.
The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the english alphabet, contain (a) exactly one vowel?
What is the following quotient?
3^√60
------------
3^√20
Answer:
its 3√3 bud
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Lines b and c are parallel. What is the measure of <6?
m<6 = 45
m<6 = 54
m<6 = 117
m<6 = 126
Answer:
m<6 = 54
St,ep-by-step explanation:
Lines b and c are parallel.
13x +9 and 5x+9 are consecutive exterior angles.
Consecutive exterior angles are supplementary.
[tex]13x+9+5x+9= 180[/tex]
Now we solve for x. combine like terms
[tex]18x+18= 180[/tex]
Subtract 18 from both sides
[tex]18x=162[/tex]
Divide both sides by 18
x=9
So the value of x=9
angle 6 and 5x+9 are vertical opposite angles . they are equal
m<6= 5x+9
Plug in 9 for x
m<6= 5(9)+9=54
m<6 = 54
Answer:
m<6 = 54
Step-by-step explanation:
Simplify the radical expression.
square root of 20
A. 2√10
B. 5√2
C. 2√5
D. 2
if anyone has the answers to the unit test let me know :)
Graciela is working to earn 200$ . she earns 25$ mowing her grandmas lawn and 60$ for a day of housecleaning what decimal represents the part of money graciela still needs to earn
Brian made 5 free throws at basketball practice. ethan scored 3 more than twice the number of free throws brian made. which equation could be used to find the number of free throws, t, ethan made?
Question 4 :)))))))$$$))))$$
What is the lateral area of the prism? Assume the figure is resting on its base.
The temperature has been going down at a constant rate. In 3 hours it went down 15 degrees. Which expression best shows the temperature change each hour? A.−15⋅−3 B. 15⋅3 C. −15÷3 D.15÷3
Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example,
2
2
3
5
).
Submit
The prime factorization of 18 is 2 x 3², dividing 18 first by 2 and then by 3 twice.
Explanation:The prime factorization of a number represents that number written as the product of its prime factors. Let's take 18 as an example. First, we will find the smallest prime number that can divide 18, which is 2. When 18 is divided by 2, the quotient is 9. Then, we continue to divide 9 by the smallest possible prime number, which is 3. We can divide 9 by 3 two more times. Therefore, the prime factorization of 18 is 2 x 3², where 2 and 3 are the prime factors and ² is an exponent indicating that 3 is a factor twice.
Learn more about Prime Factorization here:https://brainly.com/question/33295472
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Claire has received scores of 85, 88, 87, and 80 on her algebra tests. what is the minimum score she must receive on the fifth test to have an overall test score average of at least 82 ?
85+88+87+80+x/5=82
340+x=410
410-340=70
tan 49 = x/400
please solve
Which of the following sets shows all the numbers from the set {2, 3, 4, 5} that are part of the solution to the inequality 4n + 6 > 22?
Answer:
the answer is
{2, 3, 4}
Step-by-step explanation:
if 5 is the only one that works and it has to be inequality so
{2, 3, 4} can be the only answer
HHHEEELLLPPP PLEASE
1] Amanda’s gross annual salary is $62,112.
What is the maximum amount of rent she can afford to pay?
Round your answer to the nearest dollar.
A $2588
B $1866
C $1449
D $1236
2] Jonathan is signing a lease for an apartment that rents for $1240/month.
How much will he pay to move in if he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent?
A $2976
B $3472
C $3542
D $3720
Answer:
first one would be c
Step-by-step explanation:
Find the surface area of the equilateral triangular pyramid.
What is the range of the data set
2 | 1, 3, 8, 8
5 | 2, 4, 6, 6, 7
6 | 0, 1, 1
Key: 6| 0 means 60 please help i do not get this plz solve
The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2). After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1). Are the two images similar? Justify your answer.
A) no; The transformation is not rigid; therefore, the quadrilaterals are not similar.
B) no; The transformation is a translation which only results in the size of the quadrilaterals being preserved.
C) yes; This is a rigid transformation which preserves angle measurement and size of the original quadrilateral.
D) yes; The transformation is a dilation which results in similar quadrilaterals by preserving angle measurements.
The answer would be D) yes; The transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2).
After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1).
As we know that dilation is a process for creating similar figures by changing the size.
This means that the two images are similar, as they have the same shape and size, despite having different positions and orientations in the coordinate plane.
Hence, the given transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.
To learn more about the transformations click here :
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A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?
Answer: 196.8
Step-by-step explanation:
Start off by reading the problem.
A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?
Then take what you know from the problem and put it in a fraction looking thing:
like this:
1.5 8.2
__ = __
36 x
So after you've done this you will want to:
Multiply 36 x 8.2 = 295.2
take 295.2 then Divide by 1.5
=196.8
Answer:
196.8
Step-by-step explanation: