Answer:
A
Step-by-step explanation:
The greatest common factor of 8m, 36m³, and 12 is 4.
4(2m), 4(9m³), and 4(3).
The HCF is the largest value that divides all three of them.
The greatest common factor of 8m, 36m³, and 12 is; 4.
How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We could factorize the quantities in smallest relative factors possible (the level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Factorize the given numbers and identify all common factors. To get the GCF(Greatest common factor) multiply all common factors;
The Common factors are: 2 and 2, their product is 2 x 2=4, then
4(2m) = 2 x 2 x2 x m
4(9m³) = 2 x 2 x3 x3 x m x m x m
4(3) = 2 x 2 x3
Hence, the greatest common factor is 4.
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Help me please!!! URGENT!!
option B
i pretty sure it is
how to find the independent and dependent variable from the equation y=5x-3
Dependent variable is the output value and the independent variable is the input value. So for y=5x-3, when you input x=3, the output is y=12.
y is the dependent variable.
x is the independent variable.
HURRY 10 POINTS!!!!
Answer:
[tex]4\sqrt{7}[/tex]
Step-by-step explanation:
Its a 45, 45, 90 triangle, which means that the hypotenuse is always the equals sides length by [tex]\sqrt{2}[/tex].
[tex](2\sqrt{14} )*\sqrt{2} = 4\sqrt{7}[/tex]
Answer:
[tex]4\sqrt{7}[/tex]
Step-by-step explanation:
The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)
Use pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]. a and b are both the same value
Square root to find c
The answer is then [tex]\sqrt{112}[/tex] now we need to simplify it further into radical form
Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112
These numbers are 16 and 7
16 is the perfect square number because when you square root it, it is a clean number... 4!
The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical
I n a polygon, there are 6 right angles and the remaining angles are all equal to 200 degrees each. Find the number of sides of the polygon.
(pls try to help me soon..)
Answer:
The polygon has a total of 15 sides
Step-by-step explanation:
Mathematically, the sum of the interior angles of a polygon can be calculated using the formula
(n-2) 180
Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees
Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each
The total amount of the remaining angles will be 200(n-6) = 200n-1200
Now adding all the interior angles will give the sum of 180(n-2)
180(n-2) = 200n -1200 + 540
180n -360 = 200n -660
200n -180n = 660-360
20n = 300
n = 300/20
n = 15
An article reports "attendance dropped 2% this year, to 5053." What was the attendance before the drop? (Round your answer to the nearest whole number.)
Answer:
5156
Step-by-step explanation:
Let x represent the initial attendance;
Since the initial attendance dropped by 2%
New attendance = x - 2% of x = x - 0.02x
New attendance = 0.98x
Given;
New attendance = 5053
Equating the values and solving for x;
0.98x = 5053
x = 5053/0.98
x = 5156.12
x = 5156
Initial attendance before the drop = 5156
Can someone help me?
$10 a month fixed plus $0.10 for each message.
Variable:
m - number of text messages per month
Function:
c(m) - cost per month in dollars of Text-Pay Plan for m messages
Answer: c(m) = 0.10 m + 10
The Frequent text plan costs $20 for 0 messages (that's the fixed cost) and has a slope of (30 - 20)/200 = 1/20 = 0.05 dollars per message.
f(m) = 0.05 m + 20
How many text messages per month make these equal?
c(m) = f(m)
0.10 m + 10 = 0.05 m + 20
0.10 m - 0.05 m = 20 - 10
0.05 m = 10
m = 10/0.05 = 200
Check:
c(200) = .1(200)+10 = 20+10 = 30
f(200) = .05(200) + 20 = 10 + 20 = 30, good
Answer: 200 messages
An online DVD rental company offers gift certificates that you can use to purchase rental plans.you have gift certificate for $30.The plan you select costs $5 per month.How many months can you purchase with the gift certificate ?
Answer:
You can get 6 months
Step-by-step explanation:
Take the gift certificate and divide by the cost per month
30/5 = 6
You can get 6 months
Answer:
6
Step-by-step explanation:
You can compute this by dividing 30 by 5, or in otherwords, by finding the amount of times you can add 5 to get 30.
So 5 + 5 + 5 + 5 + 5 + 5 = 30
and since there are 6 5s, your answer is 6
Find the product of 85 and 25
Answer: The product of 85 and 25 is 2125 .
85x25 = 2125
Step-by-step explanation:
Hope it works out !How do you solve with the elimination method??
Answer: 2=x
Step-by-step explanation: -x+3 = 2x + 1 , 2 = x
2) Evaluate:
a.
70
b. 152
c. 43
Together bob and tom take 4 hours to get the yard work done. If bob works alone it takes him 6 hours . How long would it take tom working alone to do all of the yard work
Answer:
6 hours
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
. If α and β are zeroes of x*2 – 4x + 1, then 1/α + 1/β – αβ is
3
5
-5
-3
By inspection, state whether the following system has one, none, or infinitely many solutions.
6x + 2y = 10
3x + y = 5
Answer:
infinite solutions
Step-by-step explanation:
Multiply the second equation by 2
6x + 2y = 10
3x + y = 5
6x+2y = 10
This is identical to the first equation
This means there are infinite solutions
What is the value of X?
Answer:
The answer is 68 degrees.
Step-by-step explanation:
Angles of a triangle add up to 180 degrees. So you have to subtract 75 and 37 from 180. (180 - 75 - 37 = 68)
Answer:
C. 68°
Step-by-step explanation:
The angles in a triangle should all add up to 180°, so...
75°+37°+x°=180°
112°+x°=180°
x°=68°
What I said 4 3/6 - 2 5/6
Answer:
1 2/3
Step-by-step explanation:
The denominators are the same, so we have to borrow from the 4
Borrow 1 in the form 6/6
3 + 6/6+3/6 - 2 5/6
3 9/6 - 2 5/6
1 4/6
Simplify the fraction by dividing the top and bottom by 2
1 2/3
Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.
Notice here however that we have 3/6 - 5/6
which will give us a negative fraction.
Since this will cause us a lot of trouble, instead,
let's rewrite the first mixed number.
We can do this by thinking of 4 and 3/6 as 3 + 1 and 3/6
or 3 + 9/6 by changing 1 and 3/6 to an improper fraction.
So 4 and 3/6 can be written as 3 and 9/6.
So we have 3 and 9/6 - 2 and 5/6.
Now subtract the fractions.
9/6 - 5/6 is 4/6.
So we have 1 and 4/6 or 1 and 2/3.
As an improper fraction, the answer is 5/3.
Phil starts with G gallons of gas in his tank Phil used 3/4 of gas and then fills the tank with 5 gallons which expression represents the amount of gas now in his tsnk
Answer: 5 + 1/4G
Step-by-step explanation:
From the question, Phil starts with G gallons of gas in his tank and Phil used 3/4 of gas. This means:
G - 3/4 = 1/4G
He is left with 1/4G and and then fills the tank with 5 gallons. The expression that represents the amount of gas now in his tank will be:
= 1/4G + 5 or 5 + 1/4G
Between what two integers does square root of 160 lie ?
Answer:
It would be between 12 and 13.
Step-by-step explanation:
What we must do is find the square root of 160 and then round to the smallest number and the largest number, in this way we will know what integer that root would be, then we have to:
(160) ^ (1/2) = 12.65
If we round to the smallest number it would be 12 and if we round to the largest number it would be 13.
Which means that it would be between 12 and 13.
please please please help me with this question
which is the correct answer
Answer:
(a) (a² +3a -1)(a² -3a -1)
Step-by-step explanation:
The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).
__
To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".
We want the a² term in the product ...
(a² +3a +c)(a² -3a +c)
That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:
(a²·c) +(a²·c) -9a² = a²(2c-9)
So, we want the factor (2c-9) to be -11, which means c=-1, not +1.
The correct factorization of the given expression is ...
(a² +3a -1)(a² -3a -1) . . . . matches choice A
pls answer. will mark as branliest
Answer:
80°
Step-by-step explanation:
Angle CBD = 100°
Angle ABC = 180° - 100° = 80°
Angles on a straight line add up to 180°.
Angle ABC and angle EFB are corresponding angles, so they are equal.
= 80°
Answer:
A) x = 80 degrees
B) <CBD = <BFH because of corresponding angles theorem. After that, To find the value of x, We subtract 100(The measure of <BFH) from 180 because x and <BFH were lying on a straight line.
The table represents a function who’s is f(5)
Answer:
F(5) is the same as x = 5
Step-by-step explanation:
F(5) is just saying that the function of x is equal to 5
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
A. 2.2
Step-by-step explanation:
The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.
point 1 (x₁,y₁) → ( 2,7.5)
point 2 (x₂,y₂) → ( 18,42.5)
slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2
Simiplify (3a2+1)−(4+2a2). Write the answer in standard form
Answer:
-6^4+8x^2-4
Step-by-step explanation:
(3a^2+1)(-2a^2-4)
3a square x -2a square= -6^4
3a square x 1= 3x square -2x^2 x -4=8x^2
3x square + 8x^2= 11x^2
-4 x 1 =-4
It took Travis and Tony 40 minutes to skate 5 miles. The return trip took them 30 minutes. What was their average speed for the trip?
Answer:
[tex]\frac{1}{7}\,\,miles/minute[/tex]
Step-by-step explanation:
Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes
To find: average speed for the trip
Solution:
Total distance = 5 + 5 = 10 miles
Total time = 40 + 30 = 70 minutes
So,
Average speed for the trip = Total distance/Total time = [tex]\frac{10}{70}=\frac{1}{7}[/tex] miles/minute
Match each description to the appropriate provider or service.
treat time-sensitive emergencies
Hospitals
Medical specialists
offer treatment in a specific field of medicine,
such as cardiology
care for basic needs after regular doctor
hours
Urgent care centers
x
X
General practice doctors and nurse
practitioners
provide counseling for unplanned
pregnancies
Crisis pregnancy centers
care for routine medical needs
Explanation:
Urgent care centers: care for basic needs after regular doctor hours
Hospitals: treat time-sensitive emergencies
Medical specialists: offer treatment in a specific field of medicine, such as cardiology
General practice doctors and nurse practitioners: care for routine medical needs
Crisis pregnancy centers: provide counseling for unplanned pregnancies
__
Discussion
Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.
Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.
Answer:
all correct
Step-by-step explanation:
I'm not quite sure what this means can you explain it for me?
The mean is always the best measure of center (describes the data the best).
Answer:
Ask ur self what does measure means and what does center mean
Find the distance between A (4. - 1) and B (-3,0)
Answer:
hope this is correct
Question 1 (1 point)
In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1
plssss I need this now
Answer:
Model: y = 370 * (1.1)^t
Time for 600 cells: after about 5 hours
Step-by-step explanation:
The function that models an exponencial growth is:
y = Po * (1 + r)^t
Where y is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:
y = 370 * 1.1^t
To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:
600 = 370 * 1.1^t
1.1^t = 600/370
1.1^t = 1.6216
log(1.1^t) = log(1.6216)
t * log(1.1) = log(1.6216)
t * 0.0953 = 0.4834
t = 0.4834 / 0.0953 = 5.0724 hours
Find bc plz help can’t quite gets it
Answer: The answer is 1.5 cm
Step-by-step explanation:
According to the scale drawing and common sense the bottom side of the triangle is smaller than the left side so the only answer that is smaller than 2 cm is 1.5 cm.
What is true about 5–√?
Answer:
The last one (For Imagine Math)
5–√ is irrational. Its decimal equivalent does not terminate or repeat.
The number √5 is an irrational number
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = √5
Now , the number √5 is expressed as
Since the square root of 5 is irrational, there is no pattern to the decimal expansion and it never ends. It also indicates that it cannot be expressed as a fraction with an integer denominator and numerator.
Consequently, it is impossible to calculate the precise value of the square root of 5
Hence , the number √5 is an irrational number
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Estimate a 15% tip on a dinner bill of $57.86 by first rounding the bill amount to the nearest ten dollars.
Answer:
$70
Step-by-step explanation:
To add a tip, we must multiply the cost of the bill by 1.15. This will give us the total amount including the tip.
57.86 x 1.15 = 66.539
Because this is money, and it wants us to round to the nearest ten dollars, the cost would be $70. (66.539 is closer to 70 than it is to 60)