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
If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.
Answer:
q = 55
Step-by-step explanation:
[tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]
Find q when p = 2
[tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]
Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared
Answer:
55.1 ft ; 236.7 ft^2
Step-by-step explanation:
radius = 7.5 ft
Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft
Perimeter of the rectangle = 4 * 2 = 8 ft
Total perimeter = 55,12389 ft
Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2
Area of the rectangle = 4 * 15 = 60 ft^2
Total area = 236,714587 ft^2
Hi guys pls answer this it’s easy tbh
Answer:
this is the accurate answer of your questions
Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?
Answer:
Red=10 Pink=30
Step-by-step explanation:
you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
Please help me with these three questions...
I will be really thankful for help
Answer:
1. Terminating
2. 60
3. I don't know
Step-by-step explanation:
is f(x)=–3?
–7
–4
4
5
Answer:
4 is the answer...........
_4 is the best answer of this question
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
Find out more information about system of inequalities:
https://brainly.com/question/19526736
#SPJ2
CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.
Answer:
what do you need help with?
Step-by-step explanation:
Simplify by factorising first
Answer:
x+8
Step-by-step explanation:
Simplify the numerator
list the factors of 16
16: 1, 2, 4, 8, 16
look for two factors that add up to the b value
in this case it is 18
by looking at the factors 2 and 8 add up 10
so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]
Split the trinomial into two separate binomials each having one of the factors that add up to 10
So it should be [tex]x^{2} +2x and 8x+16[/tex]
Factor both binomials
you can factor an x from the first one
Then it is x(x+2)
Factor an 8 from the second one
8(x+2)
So it should be [tex]x(x+2) 8(x+2)[/tex]
This can rewritten as (x+8)(x+2)
So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]
simplify it by canceling out the two (x+2)'s
this is because (x+2)/(x+2) is 1
Finally you get x+8
The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)
Answer:
[tex]P(none) = 0.0859[/tex]
Step-by-step explanation:
Given
[tex]p =20\%[/tex] --- proportion of household that tuned to September
[tex]n =11[/tex] --- selected households
Required
[tex]P(none)[/tex]
Using the complement rule, the proportion that did not tune (q) is:
[tex]q= 1 - p[/tex]
[tex]q= 1 - 20\%[/tex]
[tex]q= 1 - 0.20[/tex]
[tex]q= 0.80[/tex]
So, the probability that none of the 11 tuned in is:
[tex]P(none) = q^{11}[/tex]
[tex]P(none) = 0.80^{11}[/tex]
[tex]P(none) = 0.0859[/tex]
i need help asap Please
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take
Time = distance / speed
Time = 450 miles / 65 miles per hour
Time = 6.9 hours
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answer:
First Option
Step-by-step explanation:
don't mind the purple dot
Answer:
option A
Step-by-step explanation:
22 : 15 + 10hours = 8 : 15
8 : 15 + 35 minutes = 8 : 50
Therefore the difference = 10 hours 35 minutes
Factorx^2 + x - 6, asappp
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + x - 6[/tex]
➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]
Taking the factor [tex](x+3)[/tex] as common,
➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.
Answer:
354 $ is correct
Step-by-step explanation:
your v id dead
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
1/2-1/4 is equal to
Step-by-step explanation:
1/2 -1/4
2*4-1*1/4
=1/4.
1/4is answer
Answer:
[tex] \frac{1}{4} [/tex]Step-by-step explanation:
[tex] \frac{1}{2} - \frac{1}{4} [/tex][tex] \frac{1}{2} \times \frac{2}{2} - \frac{1}{4} [/tex][tex] \frac{2}{2 \times 2} - \frac{1}{4} [/tex][tex] \frac{2}{4} - \frac{1}{4} [/tex][tex] \frac{2 - 1}{4} [/tex][tex] \frac{1}{4} [/tex]Hope it is helpful...1. Convert the quinary number 42 into binary number.
Answer:
42 in binary number is 101010.
What additional information is needed to prove the triangles are congruent by HL?
Answer:
bce is 90
Step-by-step explanation:
3. If a + b = C, which of the following statements is true?
Answer:
first one
Step-by-step explanation:
a + b = c
subtract a from both sides
b = c - a
or
c - a = b
[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]a + b = c[/tex]
[tex]⇢ b = c - a[/tex]
[tex]⇢ c - a = b[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?
Answer:
9
Step-by-step explanation:
Question:
Minimum number of balls to ensure there is at least one ball of each colour marked with each number.
The quantity of distinct numbers are:
red: 4
Yellow 3
Blue 2
So the minimum number of balls to satisfy the given requirements is
4+3+2= 9
Which 3 expressions are equivalent to the
expression : 3x-12-2(x+12)
Answer:
second option , third option and last option
Step-by-step explanation:
3x - 12 - 2(x + 12)
=3x - 12 -2x - 24
=x - 36
hELPpppPpPP pLEAaSSEEseE
state wether the product of √3 and √9 is rational or irrational. explain your answer
√9 is rational and √3 irrational number