Question:- Find
[tex]\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}[/tex]
Answer:-
[tex]\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}[/tex]
Taking power inside the bracket
[tex] \frac{5^{4} }{ {12}^{4} } \times \frac{ {12}^{3} }{ {15}^{3} } [/tex]
[tex] \frac{ {5}^{4} }{ {12}^{4 - 3} } \times \frac{1}{ {(5 \times 3)}^{3} } \\ \frac{ {5}^{4} }{12} \times \frac{1}{ {5}^{ 3 } \times {3}^{3} } \\ \frac{ {5}^{4 - 3} }{12 \times {3}^{3} } \\ \frac{5}{4 \times 3 \times {3}^{3} } \\ \frac{5}{4 \times {3}^{4} } = \frac{5}{4\times81 } \\ Answer-> \frac{5}{324} [/tex]
[tex]Power\:Form-> \frac{ 5 }{12 \times {3}^{3} } [/tex]
A jar contains four yellow balls, six red balls, and eight blue balls. One ball is selected at random.
What is the probability that it is yellow?
Answer:
Step-by-step explanation:
We are trying to see how likely we are to pick a yellow ball. So out of the total number of balls, we have 4 yellow balls (numerator). The total number of balls is 18 and so the probability of picking a yellow ball is 4/18
Answer:
4/18
Step-by-step explanation:
1. you would first take all the number of colored balls and add them together
2. next, you would take the number of yellow balls/ to the total number of balls.
Can someone help me with this math homework please!
Answer:
It's 2, 1, and y = 2x + 1.
Step-by-step explanation:
You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.
Answer:
1. 2
2. 1
3. y = 2x+1
Step-by-step explanation:
1. [tex]\frac{rise}{run}[/tex]
2. Where does the line cross the y-axis?
3. y = mx+b
m= slope
b = y-intercept
Please help me with this
Answer:
108
Step-by-step explanation:
Surface area = total area of net
The net is made up of 2 unique shapes
A square with a side length of 6
The area of a square can be calculated by squaring the side length
6^2 = 36
The area of the square = 36
The net is also made up of 4 triangles
The triangles have a base length of 6 and a height of 6
The area of a triangle can be calculated by using the formula A = (bh) / 2
Where b = base length and h = height
If the triangles have a base length of 6 then b = 6 and if they have a height of 6 then h = 6
So A = 6*6/2
6 * 6 = 32
32/2 = 18
We then multiply that by 4 to get the area of all four triangles
18 * 4 = 72
Finally we add the areas together
72 + 36 = 108
The surface area is 108
which graph shows the solutions for the linear inequality
wat iz dis bul crup
i made the hardest math problem, lets see if you can figure it out
p.s. ingore the line right aside from the 7.
7×(15+7-4+(x+y×38))^3 when x = 4 and y = 9
7×(15+7-4+(4+9×38))^3
=> 7×(15+7-4+(4+342))^3
=> 7×(15+7-4+346)^3
=> 7×364^3
=> 7×48228544
=> 337599808
reciprocal of. 0×7/11
Answer:
it doesn't exist
Step-by-step explanation:
the expression 0×7/11 is equivalent to 0. 1/0 isn't possible, so its reciprocal doesn't exist.
help me with this math question
Answer: A. In 2015 there will be more seagulls than chickadees.
Step-by-step explanation: if you look at the chart you can see the seagull population keeps growing and the chickadee population keeps decreasing.
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 18, PL = 24, and WZ = 96, find the value of c.
A. 4
B.96
C.42
D.72
somebody can help me
Answer: c = 72
Step-by-step explanation:
You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion[tex]\frac{18}{24} =\frac{c}{96}[/tex] where c is the length of WX. By cross multiplying and dividing, you get 72 for the value of c.
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 12,7,12,9,2,15,6,6,6,1,11
According to the rational root theorem what are all potential rational roots of F(x)=9x^4-2x^2-3x+4
Answer:
The answer is
[tex]( + - )(1)( \frac{1}{3} )( \frac{1}{9} )(2)( \frac{2}{3} )( \frac{2}{9} )(4)( \frac{4}{3} )( \frac{4}{9} )[/tex]
Explanation:
Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and
and the constant term (the one without a variable) must be divisible by the numerator.
In f(x), the ratio is
[tex] \frac{4}{9} [/tex]
because 4 is the constant and 9 is leading term
So our factors are
[tex] \frac{4}{9} = \frac{ + - (1)(2)(4)}{ + - (1)(3)(9)} [/tex]
If
What is the slope-intercept form is?
Assume that the radius of the hydrogen nucleus is 1.4 · 10-15 meters. How much larger than the nucleus is the entire hydrogen atom? (Calculate the atomic radius for n = 1. Round answer to nearest tenth.)
________times larger than the nucleus.
(A). 3.8 x 10⁴
(B). 3.8 x 10¹⁴
(C). 3.8 x 10^-5
(15 points reward)
Answer:
A
Step-by-step explanation:
I did not look up the actual numbers, but it can only be A.
of course, the whole aim is larger than the nucleus, which is why C is impossible with its negative exponent (which would make the whole aim smaller than the nucleus).
and B. can't be true, because it is so big 10¹⁴ times bigger than a 10-¹⁵ atom ? this would make the whole atom the size of about 10-¹ meters. so, 10 cm. a single hydrogen atom would be bigger than a tennis ball. which it isn't.
so, that only leaves A.
Scarlett tried to shade all the factors of 15 on the hundred chart.What mistake did Scarlett make? A.Scarlett shaded the factors of 5 instead of the factors of 15. B.Scarlett did not make a mistake. C.Scarlett shaded the multiples instead of the factors of 15. D.Scarlett shaded 15, but factors are always less than the number.
Answer:
C. Scarlett shaded the multiples instead of the factors of 15
Step-by-step explanation:
Scarlett tried to shade all the factors of 15 on the hundred chart 15,45,75,30,60,90 What mistake did she make
She shaded 15,45,75,30,60,90 on the chart
Factors of 15 are 1, 3, 5 and 15
15, 45, 75, 30, 60, 90 are multiples of 15
That is,
15 × 1 = 15
15 × 3 = 45
15 × 5 = 75
15 × 2 = 30
15 × 4 = 60
15 × 6 = 90
Therefore Scarlett's mistake is:
C. Scarlett shaded the multiples instead of the factors of 15
Find x in the right triangle (not drawn to scale):
A random sample of 13 teenagers were surveyed for a hypothesis test about the mean weekly amount spent on convenience goods. Researchers conduct a one-mean hypothesis test, at the 1% significance level, to test whether the average spent per week on convenience goods is greater than 50 dollars.
Answer:
Please find the complete question and the graph in the attached file.
Step-by-step explanation:
On the basis of the data,
The level of importance is [tex]\alpha = 0.01[/tex]
Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]
For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]
(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])
5 – 2x = 3 what is x?
Answer: x=1
Step-by-step explanation:
To solve for x, we want to isoate the variable.
5-2x=3 [subtract both sides by 5]
-2x=-2 [divide both sides by -2]
x=1
Now, we know that x=1.
Answer:
X = 1
Step-by-step explanation:
Add 2x to both sides of the equation
5-2x+2x=3+2x
5+0=3+2x
Subtract 3 from both sides of the equation
5-3=3-3+2x
2=0+2x
2x=2
x=2/2
X = 1
The orchard just sold 72 apples, which is 12% of the total number of apples they put up for sale. How many apples did they put up for sale?
Answer:
600
Step-by-step explanation:
12%=72
1%=6
100%=600
Find sin X.
a. sin X= 4/5
b. sin X= 3/4
c. sin X= 3/5
d. sin X= 5/4
Answer:
sin X = 4/5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin X = opp side/ hypotenuse
sin X = 36/45
= 4/5
Let's find the value of sin X,
→ opp/hyp
→ 36/45
→ 4/5
The required answer will be,
→ a. sin X= 4/5
So, option (a) is the answer.
A rectangular swimming pool. Measures 16m by 20m. A path of uniform width is built around the pool. If the area of path is 100m^2, find the width of the path, giving your answer correct to 2 decimal places.
Answer:
not sure but good luck
Step-by-step explanation:
:))))
In the given figure AOB is a straight line find the value of x.
Please tell the correct answer..
Answer:
2x+5x+3x=180°
10x=180°
x=180/10
x=18° ans..
Answer:
18
Step-by-step explanation:
Sum of angles in a straight line is 180,
2x + 5x + 3x = 180
10x = 180
x = 180 / 10
x = 18
The fence posts need to be painted Each post is round with a diameter of 50mm and length of 2.5m. The posts are hollow (no top or bottom) Now work out the surface area of a single fence post
Answer:
0.3927 m²
Step-by-step explanation:
Since a post is open at both ends, then it means it has no top nor bottom and as such the surface area is;
S.A = 2πrh
Where;
r is radius
h is height
We are given;
diameter; d = 50mm = 0.05 m
We know that; radius = diameter/2 = 0.05/2 = 0.025 m
Height; h = 2.5 m
Thus;
S.A = 2 × π × 0.025 × 2.5
S.A = 0.3927 m²
Which rate is equivalent to $800 per 40 hours?
Which statement are true regarding undefinable terms in geometry
Answer:
A plane has an unlimited number of points.
Step-by-step explanation:
A plane has an unlimited number of points.
An exact solution represents a point's position on the coordinate plane (x, y).
Even though a point has no dimensionality, the second assertion is incorrect.
Because a linear has only one component, length, the third assertion is likewise incorrect.
a: A point has no length or width.
B: a point indicates a location in a coordinate plane.
E: a plane consists of an ifinite plans
F: a line consists of an infinite set of points.
Simplify the expression.
4 * 22 ÷ 2 + 2
Answer:
46
Step-by-step explanation:
4 * 22 ÷ 2 + 2
Multiply and divide from left to right
88 ÷ 2 + 2
44 +2
Add
46
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4\times22}{2}+2}[/tex]
[tex]\mathsf{4\times22 = \bf 88}[/tex]
[tex]\mathsf{\dfrac{88}{2}+2}[/tex]
[tex]\mathsf{\dfrac{88}{2}=\bf 44}[/tex]
[tex]\mathsf{= 44 + 2}[/tex]
[tex]\mathsf{\bf = 46}[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#1: \bf 46}}\huge\checkmark[/tex]
[tex]\huge\text{OR........}[/tex]
[tex]\mathsf{\dfrac{4\times2^2}{2}+2}[/tex]
[tex]\mathsf{2^2}[/tex]
[tex]\mathsf{= 2\times2}[/tex]
[tex]\mathsf{= \bf 4}[/tex]
[tex]\mathsf{= \dfrac{4\times4}{2}+2}[/tex]
[tex]\mathsf{4\times4}[/tex]
[tex]\mathsf{\bf = 16}[/tex]
[tex]\mathsf{= \dfrac{16}{2}+2}[/tex]
[tex]\mathsf{\dfrac{16}{2}}[/tex]
[tex]\mathsf{= \bf 8}[/tex]
[tex]\mathsf{= 8 + 2}[/tex]
[tex]\mathsf{\bf = 10}[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#2: \bf 10}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can you answer this math homework? Please!
Answer:
1. one solution (2.5, 0)
2. D. x-5/2y = 25/2
3. No solution
4. (0,2)
5. y = 4x + 5
Step-by-step explanation:
What x-value are a solution to the system? (select EACH correct answer)
Step-by-step explanation:
the answer is correct and helpful
x=1
Mr. Ramadhan wants to save money to buy a house so he puts 21% of his earnings into his savings account. How much money does he save for his house?
Answer:
79%
Step-by-step explanation:
He has 100% to start off. If he puts 21% into savings you subtract that from the starting amount. 100 - 21 = 79. Therefore the answer is 79%.
Answer
well how much is his earnings?
Step-by-step explanation:
Abel bought a mini hi-fi set for S600.
He sold it to Bob at a loss of 20%.
Bob sold it to Charles and made a profit of 5%. How much did Charles pay for it?
Answer:
$504
$600* .8 = $480
$480 * 1.05 = $504
Step-by-step explanation:
Answer:
Step-by-step explanation:
Abel:
Cost price = $ 600
Loss = 20%
Selling price = [tex]\frac{100-loss}{100}*Cost \ price[/tex]
[tex]= \frac{(100-20)}{100}*600\\\\=\frac{80}{100}*600[/tex]
= 80 * 6 = $ 480
Cost price for Bob = Selling price of Abel = $ 480
Bob's cost Price = $480
Selling price = [tex]\frac{100+Profit}{100}*CP\\\\[/tex]
[tex]= \frac{100+5}{100}*480\\=\frac{105}{100}*480[/tex]
= $ 504
Amount paid by Charles =$ 504
Find the value of a.
A. 16
B. 38.5
C. 15
D. 10
Answer:
Step-by-step explanation:
divide 60/31 55/46 the answer you multiply
Use the properties of logarithms to prove log, 1000 = log2 10.
Given:
Consider the equation is:
[tex]\log_81000=\log_210[/tex]
To prove:
[tex]\log_81000=\log_210[/tex] by using the properties of logarithms.
Solution:
We have,
[tex]\log_81000=\log_210[/tex]
Taking left hand side (LHS), we get
[tex]LHS=\log_81000[/tex]
[tex]LHS=\dfrac{\log 1000}{\log 8}[/tex] [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]
[tex]LHS=\dfrac{\log (10)^3}{\log 2^3}[/tex]
[tex]LHS=\dfrac{3\log 10}{3\log 2}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]LHS=\dfrac{\log 10}{\log 2}[/tex]
[tex]LHS=\log_210[/tex] [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]
[tex]LHS=RHS[/tex]
Hence proved.
