The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.
given log base3 4 = log base 1/27 k , find the value of k .
Answer:
k =0.156
Step-by-step explanation:
According to the Question,
We Have To apply Just some Basic Properties of log here.
[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]
0.620/0.4771 = ㏒k / -1.4313
㏒k = -1.86
k = anti㏒(-1.86)
k =0.156
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
if the circumfrence of a circl is 18π inches, what is the radius of the circle
Answer:
r≈2.86
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=18
2·π≈2.86479
However, does these questions will be marked as brantliest !!!!
Answer:
i don't see questions but I'll go download the app on your picture:))
4.79 × 10^-6
0.0000000734
Hope this helps! :)
can you help me with this. Find the surface area
Answer:
2370 cm²
Step-by-step explanation:
2(32·15+15·15+15·32) = 2370
hey I have a doubt isn't for this question the ans supposed to be 36 but the option is not there so could you plzz help me
Answer:
Its actually 31
Step-by-step explanation:
Try drawing it and counting the matches
if you horizontally shift the square root parent function f(x)=√x left two units what is the equation of the new function
Answer:
[tex] \sqrt{x + 2} [/tex]
If you horizontally shift the square root parent function f(x)=√x left two units the equation of the new function is: g(x) = √(x + 2).
What is horizontal shift?A horizontal shift is a function transformation that shifts a graph to the left or right without changing its shape.
If we want to shift the square root parent function f(x) = √x two units to the left, we must replace the argument x with (x + 2), because a positive value of x + 2 gives us the same x value two units to the left.
So the equation of the new function is:
g(x) = √(x + 2)
This new function is the square root function shifted two units to the left. For any given input value of x, we add 2 to it before taking the square root. This causes the graph to shift horizontally to the left by two units.
Thus, g(x) = √(x + 2) will be the new function.
For more details regarding horizontal shift, visit:
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Find the sine ,cosine and tangent ratios of
Step-by-step explanation:
Given that,
Hypotenuse, H = 13
Base, b = 12
Perpendicular, P = 5
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]
[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]
and
[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]
Hence, this is the required solution.
Factorise a² - b²
.......
[tex]\longrightarrow{\green{ (a + b)(a - b) }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] ={a}^{2} - {b}^{2} [/tex]
[tex] = (a + b)(a - b)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Help me please which expression is equal
The answer is C.
45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.
ForEASY BRAINLIEST!!!
Answer:
A.
B.
C.
Answer:
A. x-3
B. x-14
C. x-10
Step-by-step explanation:
Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-
Step-by-step explanation:
a) x - 3
b) x - 14
c) x − 10
52 %of U.S. Adults have very little confidence in newspapers. You randomly select 10 U.S. Adults. Find the probability that the number of U.S. Adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.⇒We use Binomial Probability Formula
[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?
Answer:
$45.07
Step-by-step explanation:
46.91-1.84= 45.07
someone annnnswer pls
Answer:
t = 16
Step-by-step explanation:
Hope this helped :]
Now,
10/5t - 75 = 12/6
10*6 = 12 (5t - 75)
60 = 60t - 900
60 + 900 = 60t
960 = 60t
t = 960/60
t = 16
I hope it's help you...
Mark me as brainliest...
Which equation represents a line that passes through the two points in The table
Answer:
y = mx + by= mx+ b
Step-by-step explanation:
since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b
Help me please! I will give brainliest!
Answer:
i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.
Daine simplified the expression below.
8(1 + 2i) – (7 – 3i) = 1 + 5i
What mistake did Daine make?
Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer:
A , He did not apply the distributive property correctly for 8(1 + 2i).
on edge
Step-by-step explanation:
What are the solutions of the equation −2x−6=−2^x−6 ?
Select each correct answer.
x=−1
x = 0
x = 1
x = 2
x = 3
9514 1404 393
Answer:
x = 1, x = 2
Step-by-step explanation:
A graphing calculator shows the graphs cross at x=1 and x=2.
__
There is no algebraic method of solving an equation like this. Trial and error is another method that works.
In △FGH, L is the centroid. If LK = 19, find GL
Answer:
GL = 38
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GL = 2 LK = 2 × 19 = 38
Answer:
the centroid has special featuresfor this
Step-by-step explanation:
the rate of long must be like this [GL]=2[LK]
we can say that our answer is 38 easily
! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown
Answer:
8
Step-by-step explanation:
In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.
[tex]5=x-6[/tex]
Add 6 to both sides
[tex]11=x[/tex]
Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):
[tex]mean=\frac{6+7+11}{3}[/tex]
Add 6+7+11
[tex]mean=\frac{24}{3}[/tex]
Divide by 3
[tex]mean=8[/tex]
(6x+15)°
63° triangle
Answer:
x = 2
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
6x + 15 + 90 + 63 = 180
6x + 168 = 180 ( subtract 168 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answer:
I think C is the relation between the variables.
Find the missing side. Round to the nearest tenth.
A.7.4
B.4.4
C.6.4
D.5.4
Answer:
option D
Step-by-step explanation:
take 39 degree as reference angle
using cos rule
cos 39 = adjacent / hypotenuse
0.77 = x / 7
x = 7*0.77
x = 5.39
x = 5.4
Answer:
D. 5.4
Step-by-step explanation:
Using trigonometric ratio
cos 39 = x/7
cross multiple
x = cos39(7)
x=5.4
I need help with number 35 please help
Answer:
B. shelves × 51
Reason:
sum of all books= 357
sum of shelves= 17
no of shelves × 21
or, 17 × 21= 357
which is the number of books.
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
Learn more about function click;
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Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph
Answer choices
X= 5
y = 0
x = 0
y = 5
Answer:
A
Step-by-step explanation:
The line is parallel to y axis, so the equation is x = 5
Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]