[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]
The demoin is all real numbers greater than 6
The domain of the function is "All real numbers greater than 6".
What are logarithmic functions?Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.
The given equation is h(x) = 4log2(x-6) + 1.
The domain is the set of values that can be inserted into a function.
Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.
x - 6 > 0
x > 6
Hence, the domain of the function is "All real numbers greater than 6".
Learn more about the logarithmic functions:
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The complete question is:
What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.
All real numbers greater than______
8 - (7/10)t = 6 - (1/5)t
Answer:
t = 4
Step-by-step explanation:
Solve for t:
8 - (7 t)/10 = 6 - t/5
Hint: | Put the fractions in 8 - (7 t)/10 over a common denominator.
Put each term in 8 - (7 t)/10 over the common denominator 10: 8 - (7 t)/10 = 80/10 - (7 t)/10:
80/10 - (7 t)/10 = 6 - t/5
Hint: | Combine 80/10 - (7 t)/10 into a single fraction.
80/10 - (7 t)/10 = (80 - 7 t)/10:
1/10 (80 - 7 t) = 6 - t/5
Hint: | Put the fractions in 6 - t/5 over a common denominator.
Put each term in 6 - t/5 over the common denominator 5: 6 - t/5 = 30/5 - t/5:
(80 - 7 t)/10 = 30/5 - t/5
Hint: | Combine 30/5 - t/5 into a single fraction.
30/5 - t/5 = (30 - t)/5:
(80 - 7 t)/10 = (30 - t)/5
Hint: | Make (80 - 7 t)/10 = (30 - t)/5 simpler by multiplying both sides by a constant.
Multiply both sides by 10:
(10 (80 - 7 t))/10 = (10 (30 - t))/5
Hint: | Cancel common terms in the numerator and denominator of (10 (80 - 7 t))/10.
(10 (80 - 7 t))/10 = 10/10×(80 - 7 t) = 80 - 7 t:
80 - 7 t = (10 (30 - t))/5
Hint: | In (10 (30 - t))/5, divide 10 in the numerator by 5 in the denominator.
10/5 = (5×2)/5 = 2:
80 - 7 t = 2 (30 - t)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
80 - 7 t = 60 - 2 t
Hint: | Move terms with t to the left hand side.
Add 2 t to both sides:
2 t - 7 t + 80 = (2 t - 2 t) + 60
Hint: | Look for the difference of two identical terms.
2 t - 2 t = 0:
2 t - 7 t + 80 = 60
Hint: | Group like terms in 2 t - 7 t + 80.
Grouping like terms, 2 t - 7 t + 80 = 80 + (2 t - 7 t):
80 + (2 t - 7 t) = 60
Hint: | Combine like terms in 2 t - 7 t.
2 t - 7 t = -5 t:
-5 t + 80 = 60
Hint: | Isolate terms with t to the left hand side.
Subtract 80 from both sides:
(80 - 80) - 5 t = 60 - 80
Hint: | Look for the difference of two identical terms.
80 - 80 = 0:
-5 t = 60 - 80
Hint: | Evaluate 60 - 80.
60 - 80 = -20:
-5 t = -20
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -5 t = -20 by -5:
(-5 t)/(-5) = (-20)/(-5)
Hint: | Any nonzero number divided by itself is one.
(-5)/(-5) = 1:
t = (-20)/(-5)
Hint: | Reduce (-20)/(-5) to lowest terms. Start by finding the GCD of -20 and -5.
The gcd of -20 and -5 is -5, so (-20)/(-5) = (-5×4)/(-5×1) = (-5)/(-5)×4 = 4:
Answer: t = 4
The number of bacteria at the beginning of an experiment was 30 and the bacteria
grow at an hourly rate of 1.4 percent. Using the model given by A(t) = A0e
kt, estimate
the number of bacteria, rounded to the nearest whole number after 20 hours.
Answer: what is the question and answer choices
Step-by-step explanation:
22) Answer the inequality statement relating the two angles. Also please don’t answer if you don’t know it but if you do I’ll mark you as brainiest!
A) <
B) =
C) >
D) None of the above
Answer:
A) <
angle X is greater .
Step-by-step explanation:
really don't know how to...
Answer:
> im pretty sure mke sure you pay attention in class if im not correct
Step-by-step explanation:
.
The student scored 25 points out of 45. What was their percentage (grade)?
Answer:
56%
Step-by-step explanation:
25/45=0.5555555555... rounded to 56%
Ast year, Saleh opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 23.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Given:
Initial amount = $8600
The amount in the account had decreased by 23.5%.
To find:
Decrease in amount and amount at the end of last year.
Solution:
The amount in the account had decreased by 23.5%. So,
Decreased amount = 23.5% of 8600
[tex]=\dfrac{23.5}{100}\times 8600[/tex]
[tex]=23.5\times 86[/tex]
[tex]=2021[/tex]
Now, the amount at the end of the last year is
Amount = Initial value - Decreased value
[tex]Amount=8600-2021[/tex]
[tex]Amount=6579[/tex]
Therefore, the decreased value is $2021 and the amount at the end of last year is $6579.
-10=-10+ 7m
What is the answer?
Answer:
0 = 7m
0 = m
m = 0
It is 0 because first you would have to cancel -10 on both of the sides then divide both of the sides by 7 then switch the sides which is 0
The result of the equation -10 = -10 + 7m is m = 0
The given equation is:
-10 = -10 + 7m
Add 10 to both sides of the equation
-10 + 10 = -10 + 10 + 7m
0 = 7m
Rewrite the equation as:
7m = 0
Divide both sides of the equation
7m/7 = 0/7
m = 0
This is because 0 divided by any number is 0
Therefore, the result of the equation -10 = -10 + 7m is m = 0
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Can yall help me? with this question pleasee
Answer:
There is no answer
Step-by-step explanation:
Please attach a picture and I will help you!
Answer:
There is no question
A submarine dives below the surface, heading downward in six moves. If each move downward was 180 feet, where is the submarine after it is finished diving?
solve the system using elimination.
3x+3y=27
x-3y=-11
uses long wavelength energy in the electromagnetic spectrum to reflect waves to a receiver and form images from space
Step-by-step explanation:
Since the last reflecting off glass
factorise completely 3m^2-48
Answer:
3 (m^2 - 16)
Step-by-step explanation:
factoring means taking out a common multiple of all the terms in the expression
in this case, if you multiply 3 and m^2, 3 and -16, you would get 3m^2-48
so you take the three and put it outside of the parenthesis that contains the factored terms
this leaves you with 3 (m^2 - 16)
Find the equation of the line shown
[tex]y = \frac{1}{2} x[/tex]
Answer:
y = 1/2x
Step-by-step explanation:
Hope this helps!
A jar contains 12 red marbles numbered 1 to 12 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. (a) The marble is red
Answer:
6/11Step-by-step explanation:
Step one:
given data
sample space
red marbles= 12
blue marbles= 10
sample size= 12+10
sample size= 22
Step two:
Required
Find the probability of the given event. (a) The marble is red
Let the probabiilty be P(R)
P(R)= 12/22
P(R)= 6/11
three softball players wrote down their batting average:
Amy wrote 12 of 30
Sue wrote .34
kit wrote 9/21
who is a better hitter?
Answer:
the better hitter is Kit is the better hitter
Step-by-step explanation:
9/21 is the greatest so hope that helps.
help asap please !!!
Answer:
ROTATION
Step-by-step explanation:
In a class election, 30 students voted for Emerald and
15 students voted for Beau. What percent of students
voted for Beau?
( please help my teacher won’t let me leave if I don’t get this done)
6 miles is about how many km?
Answer: 6 miles is 9.656064km
If i ate 20 candy bars and 40 more what do i have
Answer:
Diabetes
Step-by-step explanation:
By consuming that much candy your blood sugar levels would skyrocket causing you to get diabetes.
Instructions: Use proportions to answer each of these word problems. You can use a calculator.
1
If 2 liters of sea water contain 70
grams of salt, how much salt is in 32
liters of sea water?
2 If it takes 930 kg of food to feed a pair
of elephants for 3 days, how much food
would you need to feed them for a week?
70 grams
n grams
3
2 liters
32 liters
If a fuel efficient car can go 210 miles
on 4 gallons of fuel, how far can it go
on 12 gallons?
70 x 32 = 2xn
2,240 = Xxn
2 &
If a farmer gets 340 bushels of corn
from 2 acres of land, how many bushels
can they get from 15 acres?
n = 1,120 grams
5
A factory can make 20 toasters in a
half-hour (0.5 hrs) How many toasters
can the factory make in 6.5 hours?
6
On a scaled drawing, a building measures
4.5 cm tall. If the scale of the drawing is
25 meters per 2 cm, how tall is the actual
building?
Shawna cuts out a square piece of card stock paper for a project. Her partner Tanisha wants to check to see if the cutout is actually a square. Tanisha checks to see if the diagonals are congruent. Does this determine if the piece of card stack paper is an actual square? Justify your answer.
Answer:
Yes
Step-by-step explanation:
Reason is that a square has all the aspects of a parallelogram a rectangle and a rhombus. It gets its congruent diagonals from the rectangle which is congruent
uhhhhhhhhhhhhhhhhhh i hateeee my lifeeeeeeeeeeeee
Answer:
I don't get what to answer because this is not a proper question?
Step-by-step explanation:
Why do you hate your life. It can't be that bad.
Help me with this.
x+1=2
- -
6 5
Step-by-step explanation:
x/6+1/5=2
30(x/6+1/5)=30(2)
5x+6=60
5x=60-6
5x=54
divide both sides by 5
therefore, x is equal to 10.8
25 ate only breakfast, 15 ate only lunch, 50 ate only dinner, 60 ate only lunch and breakfast, 225 ate only lunch and dinner, 500 ate only dinner and breakfast, 240 ate all three meals in the cafeteria.
. P(did not eat in the cafeteria) what is the possibility
Answer:so u asking how much was ate total?
Step-by-step explanation:
Please help!! Will give u brainliest!
Answer:
you were right !!!! :))))
Renate wins a $20 gift card to an online music site. After Renetta purchased 16 songs, the gift card has a remaining balance of zero dollars. Which equation represents the relationship between Y, the remaining balance on Manetta‘s gift card, and X, the number of songs purchased?
Answer:
b. 5x + 4y = 80
Step-by-step explanation:
Let us assume the remaining balance left be Y
and, the number of songs purchased be X
Given that
Wins a gift card of $20
And, the songs purchased is 16
Now if we take the fraction
= 20 ÷ 16
= 5 ÷ 4
So if we reverse this fraction
So it could be 5x and 4y
And, the amount that would come is
= $20 × 16 ÷ 4
= 80
So, the equation is 5x + 4y = 80
Hence, the correct option is b.
steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses
Answer:
trumpeter swans = 41sandhill cranes = 26mountain chickadees = 164ducky grouses = 82Step-by-step explanation:
Total number of birds = 313
trumpeter swans = ssandhill cranes = cmountain chickadees = mducky grouses = gWe have equations below based on given:
s = c + 15
m = 2g ⇒ m = 2(2s) = 4s ⇒ m = 4(c + 15)g = 2s ⇒ g = 2(c + 15)s + c + m + g = 313Substituting m, g and s as above in the last equation and finding the value of c:
c + 15 + c + 2(c + 15) + 4(c + 15) = 3137(c + 15) + c = 3137c + c + 105 = 3138c = 313 - 1058c = 208c = 208/8c = 26Then finding the other values:
s = 26 + 15 = 41g = 2s = 2*41 = 82m = 2g = 2*82 = 164what do we call the point in the coordinate system?
A.abcissa
B.ordinate
C.quadrants
D.ordered pair
(-6)(2) + (-8÷4) what is the anwer?
Answer:
-14
Step-by-step explanation:
(-6)(2)= -12
(-8÷4)= -2
-12+(-2)= -14
1. The ratio of the measures of the sides of a triangle is 5:6:8, and
its perimeter is 159.6 mm. Find the measure of the shortest side of
the triangle
Answer:
42mm
Step-by-step explanation:
Let the shortest side of the triangle be 5x, the middle side be 6x, and the longest side be 8x.
5x+6x+8x = 159.6
19x = 159.6
x = 159.6 ÷ 19
x = 8.4
Shortest side of triangle (5x) = 8.4 × 5
= 42
Write a percent equation that can be used to solve the following problem: 25 is what percent of 350?
A. n = 25 × 350
B. 350 = p × 25
C. 0.25 = p × 350
D. none of these