Answers
Answer:
The answer is 3.7
✨
Related Questions
is the line liner?
someone help i need this to pass
Answers
Answer:
yes
Step-by-step explanation:
Log2 x + log2 (6-x)=3 solve for x algebraically
Answers
Answer:
The solution is x = 2 and x = 4
Step-by-step explanation:
Let us revise some rules in logarithmic function:
[tex]log_{a}(x)+log_{a}(y)=log_{a}(xy)[/tex]The logarithmic function is the inverse of the exponential function [tex]log_{b}(c)=a[/tex] is the inverse of [tex]b^{a}=c[/tex]Let us solve the question
∵ [tex]log_{2}(x)+log_{2}(6-x)=3[/tex]
→ By using the first rule above
∴ [tex]log_{2}(x)(6-x)=3[/tex]
→ Multiply x by (6 - x)
∵ x(6 - x) = x(6) - x(x) = 6x - x²
∴ [tex]log_{2}(6x-x^{2})=3[/tex]
→ Change the logarithmic function to exponential function using
the second rule above
∴ [tex]2^{3}=(6x-x^{2})[/tex]
∵ 2³ = 8
∴ 8 = 6x - x²
→ Add x² to both sides
∴ x² + 8 = 6x
→ Subtract 6x from both sides
∴ x² - 6x + 8 = 0
→ Factorize it into 2 brackets
∴ (x - 2)(x - 4) = 0
→ Equate each factor by 0 to find the values of x
∵ x - 2 = 0
→ Add 2 to both sides
∴ x = 2
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∴ The values of x are 2 and 4
∴ The solution of the equation is x = 2 and x = 4
Which equation is equivalent to 2x + 3y = 12?
Answers
Is Equivalent to that equation
Hope this helped :)
Gavin and Ethan are training for a race. Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin. What is the total distance that Gavin and Ethan ran last week? Express your answer in meters.
Answers
If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers
The total distance that Gavin and Ethan ran last week is 21000 meters.
Given that, Gavin and Ethan are training for a race.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin.
Number of kilometers Ethan ran =2×7
= 14 kilometers
= 14×1000
= 14,000 meters
Now, 7 kilometers = 7000 meters
Total =14000+7000
= 21000 meters
Therefore, the total distance that Gavin and Ethan ran last week is 21000 meters.
Learn more about the total here:
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The graph below represents the total shipping cost of x items for four different companies.
Shipping Charges
A graph has number of items on the x-axis and shipping cost in dollars on the y-axis. Line W goes through points (0, 5) and (2, 13). Line U goes through (0, 12) and (3, 16). Line Y goes through (0, 10) and (2, 12). Line Z goes through (0, 0) and (2, 4).
Which list places the companies in order from the steepest slope to the least steep slope?
W, Z, U, Y
U, Y, W, Z
W, Z, Y, U
U, Y, Z, W
Answers
Answer:
Steepest to most gentle: W, Z, U, Y
Step-by-step explanation:
Answer: WZUY
Step-by-step explanation: On Edgenuity!!!!!!!!!!!
rationalise the denominator 20 over root 2
Answers
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{20}{\sqrt{2} }[/tex]
To rationalise the denominator multiply the numerator and denominator by [tex]\sqrt{2}[/tex], that is
[tex]\frac{20(\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }[/tex]
= [tex]\frac{20\sqrt{2} }{2}[/tex]
= 10[tex]\sqrt{2}[/tex]
A piece of cable 1/2 cm long weighs 25 grams. What will a 1 1/2cm length of the same cable weigh?
Answers
Answer:
75 grams
Step-by-step explanation:
1/2 cm = 25 grams
(1 1/2) /( 1/2) = 3 times as much
1 1/2 cm = 3 x 25 75 grams
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
A.y = 1.4x
B.y=12x
C.y = 2.2x
D.y = 3x
Answers
A motorist drives at a constant rate of 60 kph. If his destination is 240 kilometers away from his
starting point, how many hours will it take him to reach the destination? Write a rule that best describes
the problem and draw its graph using any method.
Answers
Answer:
4 hours
Step-by-step explanation:
240/60=4
The rule that best describes the problem is time = 240/60.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A motorist drives at a constant rate of 60 kph and his destination is 240 kilometers away from his starting point.
We know, Distance = time×speed.
time = distance/speed.
time = 240/60.
time = 4 hours.
speed×time = distance.
60t = 240.
60x = 240. (x = t).
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What is the slope of the linear function y= - 5/3 - x
Answers
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 3 .
Step-by-step explanation:
brainliest please
A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the
percent of change?
Answers
Answer:
Find the difference between the two, divide by the years, and should get the percent of change
Step-by-step explanation:
The change in percentage is 69.89%.
Given that, a gym's membership in 2012 was $9,300.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The current membership is $2,800.
We know that, the percentage change = (New value - Original value)/Original value × 100
Now, the percentage change = (9300-2800)/9300 × 100
= 6500/9300 × 100
= 0.6989 × 100
= 69.89%
Therefore, the change in percentage is 69.89%.
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Please help me ffuufgigjgjfufjdjfjckcmdhsndjf
Answers
Answer:
1/16
Step-by-step explanation:
I usually provide explanations, but I'm pretty sure you need an answer fast. Tell me if you need an explanation!
Answer:
1/16
Step-by-step explanation:
please mark me brainliest
On a coordinate plane, a triangle has points D (negative 2.5, 5), E (0, negative 1), and F (negative 5, negative 1).
What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?
D′(3.5,___ )
Answers
Answer:
D = (3.5,1)
Step-by-step explanation:
(-2.5,5) is given
you must do (x+6,y-4)
x y
(-2.5,5)
-2.5+6=3.5
x=3.5
5-4=1
y=1
(3.5,1)
Answer:
(3.5, 1)
Step-by-step explanation:
edg 2021
.
A baker is making cakes for a party. She uses 2 1/4 cups of flour for each cake. If she has 11 cups of flour, how many cakes can she make?
Answers
11 cups of flour divided by 2 1/4 cups of flour per every cake = 4 8/9 cakes
Which is not a pair of congruent angles in the diagram below?
angles BCD and BAD
angles ABD and BDC
angles BDA and DBC
angles ABD and BAD
:)
Answers
Answer:
angles ABD and BAD
Answer:
angles ABD and BAD
Step-by-step explanation:
The area of a rectangle is x^2 - 6x - 7 with a width of x - 7. What is the lenght?
Answers
[tex] {x}^{2} - 6x - 7 = (x - 7)(x + 1) \\ [/tex]
[tex]width = (x - 7)[/tex]
So
[tex]length = (x + 1)[/tex]
Just it...
So we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
can anyone answer this?
Answers
Answer:
it is J
Step-by-step explanation:
Does 1 2 and 5 make a right triangle
Answers
Answer:
Yes.
Step-by-step explanation:
If the catetes are 5 and 12, then the hypotenuse is 13, and it is a special right triangle.
BD = 8 and AB = 4 Find AD
Answers
Answer:
AD is 12
Step-by-step explanation:
Answer:
AD=12
Step-by-step explanation:
AB=4
BD=8
AD=AB+BD
AD=4+8
AD=12
Hope this helps :)
y=ax2+bx+c standard form
Answers
Answer:
y=3x^2+12x+13
a=3
b=12
c=13
Step-by-step explanation:
combine like terms to create an equivalent expression 6(1/2 w - 3/4)
Answers
6 x .5w=3w
6 x -.75=4.5
3w
—— =w
3
-4.5
—— =-1.5
3
W=-1.5
Alex has twice as much money as Jennifer. Jennifer has $6 less than Shannon. Together they have $54. How much money does each have?
Answers
Answer:
Alex has twice as much money as Jennifer.
a = 2j
Jennifer has $6 less than Shannon.
j = s-6
j+6 = s
All together the three friends have $54.
a + j + s = 54
Replace a and s
2j + j + (j+6) = 54
4j = 54 - 6
4j = 48
j = 48/4
j = 12
Jennifer has $12
Alex= 2*12 = $24
Shannon = 24+12+s = 54
= 36+s = 54
s = 18
Shannon has $18
If Jeremy is feeding his Chihuahua 1/2 cup of dog food but uses 1/10 of a cup, how many scoops will he need to feed his dog?
Answers
Answer: 5
Step-by-step explanation:
The question is asking how many tenths are in one half. You need to divide one half by one tenth. To divide fractions you need to invert and multiply.
1/2 ÷ 1/10
Step 1: Invert and multiply
1/2 × 10/1 = 10/2
Step 2: Simplify
10/2 = 5
PLZ HELP It’s due soon
Answers
Answer:
30
Step-by-step explanation:
Answer:
Oh thats easy its $30
Step-by-step explanation:
so for 2 icecreams it costs $6
so if u divide them it would become 1 icecream for $3 so
10 times 3 will be $30
Solve the equation.
m2 = 43
Answers
Is that 2m=43 or m^2=43??
If 2m=43 then...
m=43/2
m=21.5
If m^2=43 then...
m=√43
Answer:m=21.5
Step-by-step explanation:
Bijou Museum sells 75% of its tickets for the regular price of $14. The remaining discount tickets are sold for the price of $10. Variable cost per guest is $2 for both groups, and fixed costs total $66,000 per month. What are the number of regular-price guests and discount guests at the breakeven point?
Answers
Answer:
Regular price guests = 3300
Discount price guests = 1100
Step-by-step explanation:
Breakeven point is the point where total revenue and total cost are equal.
Now, we know total cost is $66,000 per month.
Now, we are told that the museum sells 75% of its tickets for the regular price of $14.
If the total number of tickets is x. It means the number of regular tickets guests is 75%x = 0.75x
We are told that variable cost per guest in each group is $2. This means that total revenue from regular tickets guest is;
14(0.75x) + 2(0.75x) = 12x
Now, the remaining tickets are discount tickets sold for $10.
It means number of discount tickets guests = 0.25x
Total revenue from discount tickets =
10(0.25x) + 2(0.25x) = 3x
Thus, at break even point, we have;
12x + 3x = 66000
15x = 66000
x = 66000/15
x = 4400
Thus;
Regular price guests = 0.75 × 4400 = 3300
Discount price guests = 0.25 × 4400 = 1100
11/12 times 7 equals what in a fraction
Answers
Answer: 77/12
Step-by-step explanation:
1) 11/12 * 7 = (11*7)/12 = 77/12
77/12
Decimal Form:
6.41
¯
Mixed Number Form:
6 5/12
A grocery delivery service has 22 members. Each member pays monthly dues of $12.80
on the first day of the month,9 members paid
their dues. The remaining members paid
their dues on the third day of the month. How much
money was
collected in dues on the
(third days of the month?
A.115.20
B.232
C.166.40
D.131.84
Answers
Answer:
C
Step-by-step explanation:
If 9 members paid on the first day, this means they did not pay on the third day
The remaining people (everyone but the 9) paid on the third day
Therefore we must subtract to find out how many members paid on the third day
22 - 9 = 13
Each of the 13 members paid $12.80 which means we must multiply
13 × 12.80 = 166.40
In total, the grocery store collected $166.40 on the third day of the month
22 - 9 = 13 ( members who paid on the third)
13 x $12.80 = $166.40
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.2 gallons. What is the average rate of flow of the gasoline into the gas tank?
Answers
Answer:
2.55gallons.minStep-by-step explanation:
given that the initial time before pumping is 3:40 p.M.
after pumping the time reads 3:44, hence he use 4 min to fill his tank
time taken=4 min
also given is that had pumped 10.2 gallons
the capacity of tank= 10.2gallon
Then the average rate of pump is
average rate= capacity of tank/time taken
average rate= 10.2/4min
average rate=2.55gallons.min
1. Find f(3) for
the function
below.
f(x) = 4^x
Answers
Answer:
64
Step-by-step explanation:
f(x) = 4^x,
When x = 3,
=> f(3) = 4^3
= 4 * 4 * 4
= 64
Answer:
f(3) = 64
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 4³ = 64