Answer:GCF of 45 and 63 is 9.
Step-by-step explanation:
factors of 45 are 1,3,5,9,15,45
factors of 63 are 1,3,7,9,21,63
so the greatest common factor or GCF of 45 and 63 is 9
The greatest common factor of 45 and 63 is equal to 9.
To find the greatest common factor (GCF) of 45 and 63;
First List the factors of each number.
The factors of 45 are;
1, 3, 5, 9, 15, 45.
The factors of 63 are:
1, 3, 7, 9, 21, 63.
Now, Identify the common factors.
The common factors of 45 and 63 are:
1, 3, 9.
To Determine the greatest common factor.
The greatest common factor of 45 and 63 is 9.
Therefore, the GCF of 45 and 63 is 9.
Learn more about factorization here:
https://brainly.com/question/10454590
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what is the Limited Development of ln(x+cosx) ?
Answer:
A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:
cos(x)=1−12x2+O(x4)
You can add more terms if you need to. Now we write:
ln(1+(−12x2))=…
Do you know the standard Maclaurin series for this function?
Hint: it is of the form ln(1+u)
Step-by-step explanation:
can someone help me with this.
Answer:
Area = Base x Height
Area = 11.5in x 8.7in, use your calculator or phone
Find the area, hope it helps you...
To the nearest cubic centimeter, what is the volume of the regular hexagonal prism?
Answer:
The volume is 164cm^3
Step-by-step explanation:
Given
[tex]h = 7[/tex] --- height
[tex]a = 3[/tex] --- base length
[tex]r = 2.6[/tex]
Required
The volume
The volume (V) is calculated as:
[tex]V = \frac{3\sqrt 3}{2}a^2h[/tex]
This gives:
[tex]V = \frac{3\sqrt 3}{2} * 3^2 * 7[/tex]
[tex]V = \frac{3\sqrt 3}{2} * 9 * 7[/tex]
[tex]V = \frac{3\sqrt 3}{2} * 63[/tex]
[tex]V = \frac{3*1.7321}{2} * 63[/tex]
Using a calculator, we have:
[tex]V = 163.68[/tex]
Approximate
[tex]V = 164cm^3[/tex]
Multiply the fractions. Select the answer that is in simplest form.
1
9x 2- = ?
6
A.
1
19
2
OB.
3
19
6
OC.
1
18-
6
I believe the answer is a
explanation:
9×2= 18
9×1= 9
which leaves us with 18 9/6
and that simplified is 19 1/2
A circle is cut from a square piece of cloth, as shown.
How many square inches of cloth are cut from the square?
(TT = 3.14)
•1,017,36 in2
•1.182.96 in2
•1276.00 in2
•1.489.24 in2
Answer:
area of a circle= πr²
= 3.14×18×18×
=1017.36 in²
Elasticity is an important parameter of kernmantle ropes (used inclimbing, caving, mountaineering, etc.). One of the ways of describing it is static elongation, measuredas amount (percentage) of rope stretch under a resting load of 80 kg. Static elongation was measuredfor two random rope samples of two different types of weaving. The observed sample means, standarddeviations, and sample sizes were the following.
Type 1: Type 2: Ti = 6.2888 $i = 0.1352 ni = 17 T2 = 6.4007 S2 = 0.1070 n1 = 14
Is there evidence to support the claim that type-2- ropes are more elastic than type 1? Use a = 0.05 and assume that the populations variances are equal. Remember for state the null and alternative hypotheses, the decision rule, and your conclusion.
Answer:
We reject H₀ . We found that at significance level of 0,05 the mean of the type 2 rope is greater than that of rope 1
Step-by-step explanation:
Type 1 rope information:
x₁ = 6.2888
s₁ = 0.1352
n₁ = 17
Type 2 rope Information:
x₂ = 6.400
s₂ = 0.1070
n₂ = 14
We don´t know population standard deviation
We assume that populations follow normal distribution
Hypothesis Test:
Null Hypothesis H₀ x₂ = x₁
Alternative Hypothesis Hₐ x₂ > x₁
The alternative hypothesis indicates a one-tail test on the right
Significance level α = 0,05 confidence Interval 95 %
Degrees of freedom for t(c) is n₁ + n₂ - 2 = 17 + 14 - 2
df = 31 - 2 df = 29
Then from t- student table we get t(c) = 2,045
To calculate t(s)
t(s) = ( x₂ - x₁ ) / sp √ ( 1/n₁ + 1/n₂
Doing calculations:
√ (1/n₁ + 1/n₂ = √ 1/17 + 1/14 = √ 0,0588 + 0,0714 = √ 0,1302
√ (1/n₁ + 1/n₂ = 0,3608
sp² = ( n₁ - 1 )* s₁² + ( n₂ - 1 )*s₂² / n₁ + n₂ - 2
sp² = 16* (0,1352)² + 13* ( 0,1070)² / 29
sp² = 16*0,0183 + 13* 0,0114 / 29 = 0,2928 + 0,1482 / 29
sp² = 0,01520
sp = 0,1233
By substitution
t(s) = ( 6,400 - 6,2888 ) / 0,1233*0,3608
t(s) = 0,1112 / 0,0444
t(s) = 2,5045
Comparing t(s) and t(c)
t(s) > t(c) 2,50 > 2,045
Then t(s) is in the rejection region we reject H₀ . We found differences between the means of the two groups.
What is x if 2784 = 36x?
Answer:
77 1/3
Step-by-step explanation:
to get x you have to divide both sides by 36
2784=36x
x=77 1/3
you can also use an algebra calculator for it
Answer:
77.333
Step-by-step explanation:
So we are given the equation
2784 = 36x
But we need to find the value of just x. So if 36 x = 2784:
2784/36 = x
How did we do this? Well, we divided each side of the equation by 36, which gives us the amazing value of just x.
Solve the equation
77.333 = x
Now, lets check our work:
77.333 x 36 = 2783.88
This is the closest I believe we can get.
Hope this helps!
--Applepi101
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answer: Identity Property
Step-by-step explanation:
The rest have very fake names lol
Answer:
Identity Property
Step-by-step explanation:
Identity Property :
Any number plus zero is the original number.
Hope it is helpful....To ease congestion in a downtown area, city planners are considering a plan to widen a major thoroughfare from
two driving lanes to three driving lanes. This plan would require closing a section of downtown streets as the work
begins. In order to assess public support for the plan, city planners provided a phone number to residents that could
be used to register opinion for or against the plan. In total, 267 calls were received, with only 24% supporting it.
Which statement describes the most likely type of bias in this setting?
This is nonresponse bias because many residents may choose to not participate.
This is question wording bias because the phrasing of the plan may have confused some residents.
This is voluntary response bias because residents could choose to call and register their opinion.
O This is response bias because residents may not be honest with their feelings about the plan.
Answer:
the answer is C. This is voluntary response bias because residents could choose to call and register their opinion.
Step-by-step explanation:
just got 100 on the quiz
b. Convert 17 g to oz
Answer:
2176 ounces
Step-by-step explanation:
one gallon has 128 ounces
Two trains, Train A and Train B, weigh a total of 351 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?
Answer:
Train A is 266 and Train B is 85
Step-by-step explanation:
If the difference is 181 tons, then subtract the difference to get double the weight of the lightest train.
351 - 181 = 170
170 ÷ 2 = 85
If B is the lightest, B is 85.
For A, either add the difference back or subtract 85 from 351.
85 + 181 = 351 - 85 = 266
Which point is a solution to the system of equations below?
y = 2x - 2
y = x + 2
A.(1,3)
B.(4,6)
C.(6,4)
D.(6,10)
If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.
Answer:
f(6)g(8)f(3)=0
Step-by-step explanation:
its a mathematics formula its ia trick
A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?
Hello there I hope you are having a great day :) You Question A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?
(1 1/3) / 2 + (1 1/2) / a = 1
(4/3)a + (4/3)2 = 2a multiply both sides by 2a
(4/3)2 = (2/3)a subtract (4/3)a from both sides
8/3 = 2a/3 simplify
8 = 2a
4 = a
Hopefully that help you :)
Which of the following phrases translates to x - 9?
nine minus a number
nine decreased by a number
the difference between nine and a number
nine subtracted from a number
Answer:
the difference between nine and a number
Step-by-step explanation:
(5x^3-8x^2+9x+12)/(x-3)
please answer with sentences on how to do it step by step. thanks!
Answer:
5x^2 + 7x + 30 + 102/x-3
Step-by-step explanation:
_________________
x-3| 5x^3 - 8x^2 + 9x + 12
First you would want to set it up as either long polynomial division or using synthetic division. Whichever one is easier for you. However, I am going to use long polynomial division since you might not be familiar with synthetic division just yet.
_5x^2_____________
x-3| 5x^3 - 8x^2 + 9x + 12 Because 5x^3 divided by x gives you 5x^2
- (5x^3 - 15x^2)______ and -3 times 5x^2 gives you -15x^2
0 + 7x^2 +9x But since the negative is outside the parentheses then you distribute it turning he -15x^2 it into +15x then adding it to the -8x^2 above it thus giving you 7x^2. Afterwards bring down the 9x.
A negative times a negative is a positive (just as a reminder)
Next,
_5x^2+7x_________
x-3| 5x^3 - 8x^2 + 9x + 12
- (5x^3 - 15x^2)______ 7x^2 divided by x gives you 7x
0 + 7x^2 + 9x
- (7x^2 - 21x)___ and 7x times -3 gives you -21x
0 + 30x +12 you distribute the negative in the parentheses again.
Then,
_5x^2 +7x +30____
x-3| 5x^3 - 8x^2 + 9x + 12
- (5x^3 - 15x^2)______
0 + 7x^2 + 9x
- (7x^2 - 21x)___
0 + 30x + 12 30x divided by x gives you 30.
- (30x - 90) Distribute the negative again.
0 + 102 102 is the remainder.
When writing remainders in long polynomial equations, it is expressed by writing the remainder over the divisor. Which is 102/x-3.
So the answer is 5x^2 + 7x + 30 + 102/x-3.
Damian works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f damian can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18
Answer:
On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look ... Choose the linear function f Eve can use to determine her pay. ... Each day he is paid a set amount, plus an hourly wage. ... Hours 1 1.5 2 2.5 3 ... Using the trend line y = 8x + 8, for the data shown, complete the residual table.
Step-by-step explanation:
PLEASE HELP!
Use the bar graph to find the relative frequency of the event.
The relative frequency of spinning an even number is _
Pls help extra points and mark brainlist
Answer:
IQR = 16
Step-by-step explanation:
IQR = 75% - 25%.
Reading from the box plot: 75% = 22 and 25% = 6.
22 - 6 = 16
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.
Answer:
Statement 3
Step-by-step explanation:
∠GAF ≅ ∠TAE
Since, there is no relation between these angles,
Therefore, statement is False.
∠TAE and ∠FAH are complementary.
If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.
Therefore, this statement is False.
∠TAF is obtuse.
Measure of obtuse angle is more than 90°
From the given picture, measure of ∠TAF = m∠TAH + m∠HAF
= 90° + 50°
= 140°
Here, m∠TAF > 90°
Therefore, ∠TAF is an obtuse angle.
Statement (3) is the correct statement.
Write an equation that represents the line.
use exact numbers
Answer:
y = ⁷/5x + 34/5
Or
y = 1.4x + 6.8
Step-by-step explanation:
To find the equation of the line in the slope-intercept form, y = mx + b, we have to determine the value of:
Slope (m) = change in y/change in x
y-intercept (b) = the y-coordinate of the point where the y-axis is intercepted by the line
Using the two points indicated in the line, (-7, -3) and (-2, 4),
Slope (m) = (4 - (-3))/(-2 - (-7)) = 7/5
m = ⁷/5
To find b, substitute m = ⁷/5 and (x, y) = (-2, 4) into y = mx + b
4 = ⁷/5(-2) + b
4 = -14/5 + b
4 + 14/5 = b
(20 + 14)/5 = b
34/5 = b
b = 34/5
To write the equation, substitute m = ⁷/5 and b = 34/5 into y = mx + b
y = ⁷/5x + 34/5
Or
y = 1.4x + 6.8
What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38
A random sample of 25 students in a school shows that the mean number of hours of sleep per night is 7.4 and the MAD
(mean absolute deviation) is 0.4.
Select the statement that is true.
A. The mean of this sample is likely to be the same as the mean number of hours of sleep per night of all students
in the school
B. A random sample of 50 students would likely provide a more accurate estimate of the mean number of hours of
sleep per night
C. Another random sample of 25 students is likely to have a mean between 70 and 7 8.
I am not sure what the answer is either. I am waiting for somebody to answer
Answer:it’s A
Step-by-step explanation:
PLEASE WILL MARK BRAINLIEST / ITS VERY EASY (PROBABLY)
Answer:
Answer given below
Step-by-step explanation:
1. [tex]\frac{1}{5}x + \frac{1}{3} - \frac{2}{5}x = \frac{-1}{5}x + \frac{1}{3}[/tex]
2. [tex]\frac{1}{5} x + \frac{1}{3} + \frac{2}{5} x = \frac{3}{5} x + \frac{1}{3}[/tex]
3. [tex]\frac{2}{5}+ \frac{2}{3}x- \frac{1}{5} = \frac{2}{3}x+ \frac{1}{5}[/tex]
how do i find the area and the perimeter of the triangle
Answer:
Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.
Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b, and hypotenuse of length c, a2 + b2 ...
Look at your triangle, and label the sides "a," "b," and "c". Remember that the longest side of the triangle is called the hypotenuse.
Step-by-step explanation:
Bronco, Inc., imposes a payback cutoff of three years for its international investment projects.
Year Cash Flow (A) Cash Flow (B)
0 –$ 61,000 –$ 71,000
1 23,500 15,500
2 29,000 18,500
3 21,500 27,000
4 8,500 231,000
What is the payback period for both projects?
Answer:
4476966756TTTVFD
Step-by-step explanation:
The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.
Answer:
The coordinates are (1,-1).
Step-by-step explanation:
The image of the point (-5, 1) under a translation is (-6,3).
Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:
(x,y) -> (x - 1, y + 2)
Find the coordinates of the image of the point (2, -3) under the same translation.
(2,-3) -> (2-1, -3 + 2) = (1,-1)
The coordinates are (1,-1).
Length of a high way can be measured in which unit
Answer:
Most highways are measures in miles or kilometers.
You can use any unit of measurement, but miles and kilometers are the most reasonable to use.
I hope this helps ^^
MARKING AS BRAINLIST!!!!! These figures are congruent. What series of transformations moves pentagon FGHIJ onto pentagon FG'HTI'? y S CO G 2 G -8 -6 4 4 6 8 H -4 -6 -8 Note: Rotations are clockwise. Reflections are over the x-or y-axis. A. Rotation, reflection O B. Translation, reflection
Answer:
c
Step-by-step explanation:
What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
The effective rate of interest, if $1,000 compounds to $1,331 in 3 years is
%.
9514 1404 393
Answer:
10%
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t
Filling in the given values, we have ...
1331 = 1000(1 +r)^3
1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root
r = 0.1 = 10% . . . . . . . subtract 1
The effective rate is 10% per year.