Answers
Answer:
[tex]m = \frac{5}{2} [/tex]
Step-by-step explanation:
Here are the laws which would be used in this question:
Indices:
• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]
Logarithm
• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]
[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]
[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]
[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]
[tex] = \frac{5}{2} log_{m}(2) [/tex]
Related Questions
.please solve
b) 3 2/3 - 2 5/6
show steps
Answers
Answer:
Step-by-step explanation:
3*3+2/3-2*6+5/6
=9+2/3-12+5/6
=11/3-17/6
take lcm of the denominator
=11*2-17*1/6
=22-17/6
=5/6
Answer:
5/6
Step-by-step explanation:
3 2/3 - 2 5/6
= 3 4/6- 2 5/6
=5/6
A particle travels along the x-axis such that its position at time t is given by the function x(t) = 2€ + t. What is the average
speed of this particle over the interval 2 sts 10?
4
25
32
200
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
The function is not clear, so I will use:
[tex]x(t) = 2+ 3t + t^2[/tex]
Required
Speed over 2 to 10s
This is calculated as:
[tex]Speed = \frac{x(a) - x(b)}{a - b}[/tex]
Where
[tex](a,b) =(2,10)[/tex]
So, we have:
[tex]Speed = \frac{x(2) - x(10)}{2 - 10}[/tex]
[tex]Speed = \frac{x(2) - x(10)}{-8}[/tex]
Calculate x(2) and x(10)
[tex]x(2) = 2+ 3*2 + 2^2 =12[/tex]
[tex]x(10) = 2+ 3*10 + 10^2 =132[/tex]
So, we have:
[tex]Speed = \frac{12 - 132}{-8}[/tex]
[tex]Speed = \frac{-120}{-8}[/tex]
[tex]Speed = 15[/tex]
A girl works a basic week of 40 hours and her basic rate is $6.25 per hour. Calculate her basic wage for the week
Answers
Answer:
$250
Step-by-step explanation:
To find the total multiply 6.25 and 40 together
6.25x40
$250 (Don't forget the dollar sign)
Answer:
250
Step-by-step explanation:
If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250
Help! How many pairs are circled?
Answers
Answer:
41
Step-by-step explanation:
someone pls help!
Exponential function fis represented by the table.
Х
-2
-1
0
1
2
f(x)
-46
-22
-10
-4
-1
Function g is represented by the equation.
I
g(x) = -18
18(1) + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
ОА.
Both functions are increasing, but function fincreases at a faster average rate.
OB.
Only function fis increasing, but both functions are negative.
OC.
Both functions are increasing, but function g increases at a faster average rate.
OD.
Only function fis increasing, and only function fis negative.
Answers
Answer:
okkkkk
wait
helping see the attachment
The statement that correctly compares the two functions on the interval [-1, 2] is that Both functions are increasing, but function g increases at a faster average rate.
How do you know an exponential function?Exponential functions are kwon to be a type of function that is often written in the form: y = abx.
Where:
b = constant ratio.
a = initial value.
One can known this function if a given table of ordered pairs, has x increasing by a constant value and the value of y increases by a common ratio.
From the Exponential table, we can see that the two functions (x, fx)are increasing, but only that of function g was said to have increases at a faster average rate.
Learn more about Exponential function from
https://brainly.com/question/12940982
60 POINTS TO QUICKEST AND CORRECT ANSWER!
Let f(x)=2x and g(x)=2x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x)=g(x) ? Enter your answers in the boxes. x = or x =
Answers
Answer:
x=2
Step-by-step explanation:
Since the are the same equation they are already equal
Answer:
x=2
Step-by-step explanation:
Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
Answers
Answer:
Secθ = 11 / 9.22 or sec33°
Sinθ = 6 / 11 or Sin33°
Tanθ = 6 / 9.22 or Tan33°
θ = 33°
Step-by-step explanation:
Given:
Hypotenuse = 11 unit
Perpendicular = 6 unit
Find:
Secθ
Sinθ
Tanθ
Computation:
Base = √Hypotenuse² - Perpendicular²
Base = √11² - 6²
Base = √121 - 36
Base = √85
Base = 9.22 unit (Approx.)
Secθ = Hypotenuse / Base
Secθ = 11 / 9.22 or sec33°
Sinθ = Perpendicular / Hypotenuse
Sinθ = 6 / 11 or Sin33°
Tanθ = Perpendicular / Base
Tanθ = 6 / 9.22 or Tan33°
So value of θ = 33°
what is the function ???? please help fast
Answers
Answer:
hope it's helpful my dear gana
If you can travel 120 miles in 3 hours (180 minutes), what is the distance you could travel in 75 minutes
a. 50 miles
C. 70 miles
b. 60 miles
d. 80 miles
Answers
Answer:
[tex]Speed = \frac{Distance}{Time } = \frac{120}{3} = 40mph[/tex]
T = 75minutes = (75/60) hours
[tex]Distance = Speed \times Time = 40 \times \frac{75}{60} =\frac{40\times 75}{60} = 50miles[/tex]
option A
Answer:
B. 60 miles
Step-by-step explanation:
Write the correct order of letter to the finish line! Urgent help btw it’s not L
Answers
Answer: hello your question is incomplete attached below is the complete question
answer : AEIJKGFCH
Step-by-step explanation:
The first Image is the first part of the question, to write the correct order of letter to the finish line, we will use the details on the first image.
Hence the Correct order of letter to the Finish line: AEIJKGFCH
Determine the approximate area of trapezoid
Answers
Answer:
25 squared cm
Step-by-step explanation:
Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])
h = height
[tex]b_{1}[/tex] = base 1
[tex]b_{2}[/tex] = base 2
A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)
A = 25
Find the surface area of the rectangular prism.
9mm on the left side 3mm tall and 13mm wide
Answers
Surface area of rectangular prism= 2(wl+hl+hw)
So,
➠ 2(13×9 + 3×9 + 3×13)
➠2 × 183
Ans ➠ 366mm²
Answer:
[tex]Area = 3.66 * 10^{-2}[/tex]
Step-by-step explanation:
Formula to find area of rectangular prism:
[tex]A = 2(wl+hl+hw)[/tex]
Add the values in the formula & solve:
[tex]A=3.66 * 10^{-2}[/tex]
I hope this helps :)
Someone please help me thank you
5x5
Answers
Answer:
25
Step-by-step explanation:
X°, y° and z °are three angles lying on a straight line having vertices at same point. If y° =45° and z °=86°. Find the value of x.
Answers
Answer:
49degrees
Step-by-step explanation:
The sum of angle on a straight line is 180degrees, hence;
x + y + z = 180
x + 45 + 86 = 180
x + 131 = 180
x = 180 - 131
x = 49degrees
Hence the value of x is 49degrees
The highest common factor of 10 and 18
Answers
Answer:
The highest common factor of 10 and 18 is 2
Step-by-step explanation:
10: 1,10,2,5
18: 1,18,2,9,3,6,
Look which is common in both of these and both of them have 2 in common.
The HCF of 10 and 18 is 2.
To find the highest common factor (HCF) of 10 and 18, we can determine the largest number that divides evenly into both of them.
We can start by listing the factors of each number:
Factors of 10: 1, 2, 5, 10
Factors of 18: 1, 2, 3, 6, 9, 18
From the lists, we can see that the common factors of 10 and 18 are 1 and 2.
To find the HCF, we select the largest common factor, which is 2. Therefore, the HCF of 10 and 18 is 2.
The HCF represents the largest number that divides evenly into both given numbers, without leaving any remainder. In this case, 2 is the highest common factor, as it is the largest number that can divide both 10 and 18 without leaving any remainder.
To learn more about the greatest common factor;
https://brainly.com/question/11221202
#SPJ6
Delia flew 2,416 miles the first year on the job. She flew 3,719 miles the second year. Delia flew 2,076 more miles the third year than the first and second years combined. How many miles did Delia fly the third year?
Answers
Answer:
8211 miles
Step-by-step explanation:
Delia flew 2416 miles on the first year of the job
She flew 3719 miles on the second year of the job
She flew 2076 miles more than the first and second year combined on the third year
= 2416+3719
= 6135
= 6135+2076
= 8211
Hence Delia flew 8211 miles on the third year
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3 which graph is an example of a function??
Answers
Answer:
The middle one because there is only 1 value of y for every value of x.
find the total cost if a pair of shoes cost $49.95 and the tax is 5.5%
Answers
Answer:
52.70
Step-by-step explanation:
49.95x.055=2.75 tax
49.95+2.75=52.70 total costs
x=y-8 7x+2y=16 what is the answer???
Answers
Answer:
x = 0 , y = 8
Step-by-step explanation:
x = y - 8 -----(1)
7x + 2y = 16 --------(2)
Substitute (1) in (2)
7(y - 8) + 2y = 16
7y - 56 + 2y = 16
9y = 72
y = 8
Substitute y in (1)
x = 8 - 8 = 0
Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?
Answers
Answer:
Harry receives £4500
Step-by-step explanation:
Sum of the ratio = 8
Total amount - 7200
[tex]Jay's\ share = \frac{1}{8} \times 7200 = 900\\\\Sheila's \ share = \frac{2}{8} \times 7200 = 2 \times 900 = 1800\\\\Harry 's \ share = \frac{5}{8} \times 7200 = 5 \times 900 = 4500[/tex]
5. Find the area of the composite figure *
Answers
Answer:
187.5 ft²
Step-by-step explanation:
15 x 15 = 225
1/2(5 x 15) = 37.5
225 - 37.5 = 187.5
Answer:
the area is 187.5
Step-by-step explanation:
First we must split this figure into two, now we have a triangle on top of a rectangle (we know this is a rectangle because the length is longer than the width)
to find the area of a rectangle we must use the equation l*w=A so
15*10=150
Now that we have the area of the rectangle we must find the area of the triangle
We can see one side is longer, this shows us that the triangle is 5 units tall and 15 units long
the formula to find the area of a right triangle is ab/2=A
5*15/2=A
75/2=A
37.5=A
now we have both areas we add them together
37.5+150=187.5
187.5 is your answer
I WILL WORSHIP U PLS WHATS THE ANSWER
Answers
Answer:
A. is not true
Step-by-step explanation:
[tex]\angle{BCA}[/tex] appears to be acute, and [tex]\angle{BCD}[/tex] appears to be its obtuse supplement.
Just to be sure the diagram isn't lying to you, set this up:
4x + 9 + (9x - 11) = 180
13x - 2 = 180
13x = 182
x = 14
[tex]m\angle{BCA}=65^\circ\\m\angle{BCD}=115^\circ[/tex]
Those two angles are not congruent.
Solve the inequality 4(x – 3) – 7 < 2(x – 3).
Answers
Answer:
{x}\lt\frac{{13}}{{2}}
Step-by-step explanation:
Answer:
x < 13/2
Step-by-step explanation:
4(x-3) -7: 4x - 19
4x - 19 < 2x-6
4x - 19 + 19 < 2x - 6 + 19
4x < 2x + 13
4x - 2x < 2x + 13 - 2x
2x < 13
2x/2 < 13/2
x < 13/2
What is the surface area of the solid that this net can form?
Answers
you just find the surface area for each rectangle/square and then add them together
5x8=40
5x8=40
25x5=125
8x25=200
5x25=125
8x25=200
add those numbers and you get 730 :)
If x and y are two supplementary angles whereas m
Answers
Answer:
110degrees
Step-by-step explanation:
Complete question
Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.
The sum of two supplementary angles is 180degrees, hence;
m<x + m<y = 180
70 + m<y = 180
m<y = 180 - 70
m<y = 110degrees
Hence the measure of ,=m<y is 110degrees
Please help I will give brainliest
Answers
Answer:
ez
Step-by-step explanation:
ez
Solve by using substitution
y=2x
3x-y=3
Answers
answer:
x = 3
y = 6
step-by-step explanation:
we have two equations —y = 2x
3x - y = 3
we have to use substitution so we will replace y with 2x since y = 2x3x - 2x = 3
now that we have like terms, we can solve this to find x3x - 2x = 3
x = 3
now, we will use this to find yy = 2x
y = 2(3)
y = 6
Explain what's happening in Step 2.
Answers
Answer:
The person is adding the numbers in the tenth place and carrying the leftover ten over onto the one's place.
Step-by-step explanation:
In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.
How many fish are in the Deep Blue tank?
Answers
Answer:
It would be 125 fish.
Step-by-step explanation:
This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.
What is the value of w?
Answers
Answer:
2
Step-by-step explanation:
If you need me to write it I will