The approximate value of q in the equation is [tex]0.774[/tex]
The equation is given as:
[tex]q\log_2(6) = 2[/tex]
Divide both sides of the equation by [tex]\log_2(6)[/tex].
So, we have:
[tex]q= \frac{2}{\log_2(6) }[/tex]
Determine log(6) base 2
[tex]q= \frac{2}{2.585}[/tex]
Divide 2 by 2.585
[tex]q= 0.774[/tex]
Hence, the approximate value of q in the equation is [tex]0.774[/tex]
Read more about logarithmic equations at:
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Which expression is equivalent to 9(h + 2)?
Answer:
9h + 18
Step-by-step explanation:
9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.
Is the answer 8? If so, what is the unit?
Step-by-step explanation:
that depends on the expected unit rate.
there are infinite correct answers to this as it is stated. including the initial numbers.
2 miles in 0.25 hours is by itself already a unit rate :
2 m/0.25h
but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.
when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.
what is the factor for 0.25 hours to create 1 hour ?
you know that 0.25 = 1/4.
0.25 × f = 1
f = 1/0.25 = 1 / 1/4 = 4
we need to multiply by 4 to get 1 hour as denominator.
therefore, by keeping the ratio value unchanged, the whole operation is then
2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h
the answer is therefore only 8, if we required mph or m/h as unit rate.
we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.
you see ? the question in that form is actually not complete.
NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answer:
#5 -1.75, 2.5, -0.2
#6 3 1/2, 2 1/4, -1/2
Step-by-step explanation:
Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)
Find the difference in lowest terms. 15/19 - 7/19
Answer: 8/19
Step-by-step explanation:
15/19 - 7/19 = 8/19
8/19 cannot be simplified further
can someone help me please?
Answer:
1) x = 3, y = 2 or (3, 2)
2) x = 0, y = 2 or (0, 2)
6) x = 3, y = – 4 or (3, – 4)
Step-by-step explanation:
I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.
Question 1:[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]
Substitute the value of y in equation 2 into the first equation:
y = -2x + 5
-x + 2 = -2x + 5
Add 2x on both sides:
-x + 2x + 2 = -2x + 2x + 5
x + 2 = 5
Subtract 2 from both sides to isolate x:
x + 2 - 2 = 5 - 2
x = 3
Substitute the value of x into Equation 2 to solve for the value of y:
y = -x + 5
y = -(3) + 5
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).
Question 3:
[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]
Substitute the value of y from Equation 2 into Equation 1:
3x + 5y = 10
3x + 5(-5x + 2) = 10
Distribute 5 into the parenthesis:
3x + -25x + 10 = 10
Combine like terms:
-22x + 10 = 10
Subtract 10 from both sides:
-22x + 10 - 10 = 10 - 10
-22x = 0
Divide both sides by -22 to solve for x:
[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]
x = 0
Substiute the value of x into Equation 2 to solve for y:
y = -5x + 2
y = -5(0) + 2
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).
Question 6:[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]
Add 2x to both sides of Equation 2 to isolate y:
y – 2x = –10
y – 2x + 2x = 2x – 10
y = 2x – 10
Substitute the value of y from the previous step into Equation 1:
– 2x + 6y = – 30
– 2x + 6(2x – 10) = – 30
Distribute 6 into the parenthesis:
– 2x + 12x – 60 = – 30
Combine like terms:
10x – 60 = – 30
Add 60 to both sides:
10x – 60 + 60 = – 30 + 60
10x = 30
[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]
x = 3
Substitute the value of x into Equation 2 to solve for y:
y – 2x = –10
y – 2(3) = –10
y – 6 = –10
y – 6 + 6 = –10 + 6
y = – 4
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).
Plzzz plzzzzzz help meeeee
Lightning struck seven times in four minutes during a storm. On average, the next storm had lightning strikes two more times per minute than the first storm. How many times did lightning strike in six minutes of the second storm?
Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.
First Storm
7/4= 1.75 strikes per minute
Second Storm
1.75+2=3.75
3.75*6=22.5 strikes in the second storm
Answer
so uh
Step-by-step explanation:
thats how to solve
______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
1 point
Supplemnatary
vertical
adjacent
linear pair
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is B. Vertical
Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .
Answer:
vertical
✌️❤️✌️
......
A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?
Answer:
4/15 of an inch
Step-by-step explanation:
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hope this helps
Have a great day
~Zero
Answer:
4/15 of an inch
Step-by-step explanation:
A worm wriggled forward 4/5 of an inch in 3 minutes.
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Which of the following is a radical equation?
x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~
[tex] \sf \: x + \sqrt{3} = 13[/tex]can i get some help:
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
Find the inverse function. 1 f(x) = 1 = 2x+2 + f-1(x) = [? ]x + [
Answer:
y= 2x - 1
Step-by-step explanation:
i hope that helps
Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.
i forgot what the definition of y-axis and x-axis was
Answer:
y is the height and x is the length
Step-by-step explanation:
Remember when you're doing y and x axis y is height and x is length it works like coordinates.
Daniel is going to buy a pizza.
He can choose one pizza variety, one extra topping and one pizza size.
He can choose from
23 different pizza varieties
18 different extra toppings
The total number of ways Daniel can choose the pizza variety, the one extra topping and the
pizza size is 3726
Work out the number of different pizza sizes that Daniel can choose from.
Answer:
9
Step-by-step explanation:
For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.
For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations
414n = 3726
divide both sides by 414 to isolate the n
n = 9
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
It costs $6 to enter the fair. Each ride costs $1.25. You have spent $23.50. How many rides did you ride?
Answer:
14 rides
Step-by-step explanation:
23.50-6= 17.5
17.5/1.25=14
I need help with geometry! 20 points
Answer:
tans=0.8770580193
Step-by-step explanation:
Help please!! Ill give 100 points!
Answer:
B)
Step-by-step explanation:
10/5 + 4(72 - 6)
10/5 + 288 - 24 Distribute the 4 to 72 and 6
2 + 288 - 24 Divide
2 + 264 Combine the like terms
262
Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow
The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
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Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?
Answer:
look it up i need my coins
Step-by-step explanation:
Melissa bought a sofa on sale for $630. This price was 28% less than the original price.
What was the original price?
Answer:
630 is 28% of 2250.
Step-by-step explanation:
28 / 100 = .28
2250 X .28 = 630.
Evaluate -5.8-3.1x0.5
Answer:
7.35Step-by-step explanation:
Using DMAS, let's solve.
=> -5.8 - 3.1 x 0.5 (Multiplication)=> -5.8 - 1.55 (Subtraction)=> -7.35 (Solved)Conclusion:
Therefore, the answer is:
7.35Hoped this helped.
[tex]GeniusUser[/tex]
-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12
Answer:
-5/12/ D
Step-by-step explanation:
-9/12 -(-1/3)
turn 1/3 into a fraction with a similar denominator
-9/12-(-4/12)
-(- = addition (+)
-9+4= -5
-5/12
a homeowners association charges a 4.65 fee for each day your payment is late if a bill was originally 103.55 and paid 22 days late then how much is owed to the home owners?
Answer:
207.1
Step-by-step explanation:
4.65×22=102.3
103.55+102.3= 207.1
HELP!!!!!!!!!!!!!!!!!!!!
Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)
Please answer this question with step by step method.
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
(9(4x-1))/2x = 15
simplify the 9(4x-1) = 36x-9
(36x-9)/2x = 15
multiply both sides by 2x to take out the fraction
36x-9 = 15(2x)
36x-9 = 30x
subtract by 30x on both sides, and add 9 on both sides
36x-9-30x = 0
36x-30x = 9
6x = 9
x = 9/6 = 3/2 or 1.5
53 1/3 in the form 53^n where n is a whole number
Topic: Determining if given values are solutions to a two variable equation
Answer:
2. a & c
3. a, b & c
Step-by-step explanation:
Substitute each solutions to the question to see if you get the answer
a. 5(2)-0=10 -- so (2,0) is the solution
b. 5(3)-0=15 -- (3,0) is not the solution
c. 5(0)-(-10)=10 -- (0,-10) is the solution
d. 5(1)-(1)=4 -- (1,1) is not the solution
a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution
b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution
c. -(2)+ 6(2) = 10 -- so (2,2) is the solution
d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution
