[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_4(q)=m\implies 4^m = q[/tex]
If a person walks 1/3 mile in 15 minutes, how far will that person walk in one hour?
Answer: 1 1/3 miles
Step-by-step explanation:
Since we know that an hour is 60 minutes, and 60 divided by 15 = 4, then we can multiply 1/3 times 4 to get the total number of miles in 60 minutes.
1/3 X 4 = 4/3
4/3 = 1 1/3
Therefore, the answer is 1 1/3 miles.
Therefore, in an hour, a person will walk 4/3 mile.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The area of a square is s2, where s is the side length of the square. Jack has a square-shaped flower garden in his yard. Each side of the garden is 8 feet. What is the area of the flower garden?
Answer:
64 square feet
Step-by-step explanation:
A = s² = 8² = 8*8 = 64
Can someone please explain step by step on how I get my answer of [30% of 15?]
Answer: 4.5
Step-by-step explanation:
30% is equal to 30/100, which is 0.3
If you times 0.3 by 15, you will get 30% of 15
Therefore the answer would be 0.3 x 15 = 4.5
please need help with this Calculus question
can someone please tell me these answers
Answer: For Y the rate of change is +4
For the rate of x its +5
Step-by-step explanation:
45+45-45+45-45+65+275÷92×50
Answer:
[tex]259 \frac{21}{46}[/tex]
Step-by-step explanation:
In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:
B: Brackets
O: Orders
D: Division
M: Multiplication
A: Addition
S: Subtraction
First Step:
1. [tex]275/92*50[/tex]
First we multiply 50 by 275. Then we divide this result by 92.
[tex]275/92*50=6875/46[/tex]
Second Step:
2. [tex]45+45-45+45-45+65[/tex]
Now lets subract and minus and such that we get 110.
[tex]110[/tex]
Third Step:
Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]
find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last number
Answer:
n(E) = 6
Step-by-step explanation:
That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.
KisthemidpointofJL. If JK = 3x and KL = x + 8, what is JK?
Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
Grapes are 2.55 per pound and on two separate occasions Dana went to the store to
buy grapes. The first time she went to the store she bought 3.25 pounds of grapes
and during the second visit to the store she purchase 1.25 pounds of grapes.
Rounded to the nearest cent, what is the total amount that Dana paid for the grapes?
$7.25
$12.35
$11.48
$7.05
Answer: $11.48
Step-by-step explanation:
First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.
sin(3x)+sin(x)=0 solve for x
Answer:
[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]
Step-by-step explanation:
Let's use the formulas that change a sum of two sines into a product:
[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]
[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]
At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]
or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]
with the usual condition of [tex]k\in \mathbb{Z}[/tex].
Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.
Can you please help me with number 16
What is the quotient? -4/5 ÷ 2
When a liquid turns into a solid, which of the following also changes?
A: chemical composition
B: size of molecules
C: Mass
D: energy
Pls help
Answer:
D. Energy.
Step-by-step explanation:
Liquid is at a higher energy state than a solid.
When the liquid turns into a solid, then the energy gets changed. Then the correct option is D.
What is solidification?When a liquid's temperature drops below its freezing point, a phase shift called freezing occurs, converting it from a liquid to a solid. According to the widely accepted definition, freezing refers to the liquid content of a substance changing from a liquid to a solid during a cooling process.
When a liquid's molecules slow down enough to attract one another into permanent positions as a solid, this process is known as freezing.
The term "single solidification point" refers to the temperature at which an alloy transitions from a completely liquid state to a fully solid state without traveling through a partially liquid state, meaning that no additional cooling is necessary to create a fully solid alloy.
The energy is altered as a liquid changes into a solid. D is the right answer in this case.
More about the solidification link is given below.
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Determine the slope from the given graph below:
A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7
(I’ll give brainliest <3)
Slope is the change in Y over the change in x.
Use 2 points on the graph(x,y) to use to solev6.
(2,3) and (0,-7)
Slope = (-7 -3) / (0-2)
Slope = -10/-2
Slope = 5
Answer: A the slope is 5
The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price.
Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)
Answer:
Step-by-step explanation:
First we need to find the 20% discount.
$32.99 x .20 = $6.598
The 20% discount is $6.59
We subtract the discount from the original price:
$32.99 - $6.59 = $26.40 (This is price after the discount.)
Now we need to find the amount of the sales tax on the discounted price.
$26.40 x .08 = $2.11 (This is the sales tax on the discounted price.)
The total price Andre paid is the discounted price plus the sales tax.
$26.40 + $2.11 = $28.51
Total price paid: $28.51
Rewrite (7/9) ^-1 without an exponent
Answer:
(9/7)^1
Step-by-step explanation:
(7/9)^-1
use rule a^-b = 1/a^b
som
1/(7/9)^1
(9/7)^1
How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?
Answer:
[tex]y = \frac{2}{3} x + 2[/tex]
Step-by-step explanation:
Start by finding the slope of the given line.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope of given line
[tex] = \frac{5 - ( - 1)}{ - 2 - 2} [/tex]
[tex] = \frac{5 + 1}{ - 4} [/tex]
[tex] = \frac{6}{ - 4} [/tex]
[tex] = - \frac{3}{2} [/tex]
A perpendicular bisector cuts through the line at its midpoint perpendicularly.
The product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
[tex] - \frac{3}{2} m = - 1[/tex]
[tex]m = - 1 \div ( - \frac{3}{2} )[/tex]
[tex]m = - 1 \times ( - \frac{2}{3} )[/tex]
[tex]m = \frac{2}{3} [/tex]
[tex]y = \frac{2}{3}x + c[/tex], where c is the y-intercept.
To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.
[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]
Midpoint of given line
[tex] = ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )[/tex]
[tex] =( \frac{0}{2} , \frac{4}{2} )[/tex]
= (0, 2)
[tex]y = \frac{2}{3} x + c[/tex]
When x= 0, y= 2,
2= ⅔(0) +c
2= 0 +c
c= 2
Thus, the equation of the perpendicular bisector is [tex]y = \frac{2}{3} x + 2[/tex].
5) The solution to 7X2 + 2X – 1 = 0 can be written as:
Answer:
2/7 or -30/7
Step-by-step explanation:
Use the quadratic formula
a = 7, b = 2, c = -1
-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7
-2 + or - 32/14
-2 + or - 16/7
2/7, or -30/7
Answer:
Step-by-step explanation:
7x² + 2x - 1 = 0
x = (-2 ±[tex]\sqrt{2^2 - 4(7)(-1)}[/tex] )/ (2(7))
x = (-2 ± [tex]\sqrt{32}[/tex] ) /14
x = (-2 ± 4[tex]\sqrt{2}[/tex] ) /14
x = [tex]\frac{-1}{7}[/tex] ± [tex]\frac{2}{7}[/tex][tex]\sqrt{2}[/tex]
Each time Cheryl runs, she runs 4 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 26 miles in a week. Write an equation that can be used to find out how many times Cheryl goes running each week.
Answer: 26 = 4x + 10 and Cheryl goes running four times per week.
Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.
Sort the sequences according to whether they are arithmetic, geometric, or neither.
Answer:
arithmeticneithergeometricarithmeticgeometricStep-by-step explanation:
Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.
The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.
__
98.3, 94.1, ... -- arithmetic (common difference = -4.2)
1, 0, -1, 0, ... -- neither
1.75, 3.5, ... -- geometric (common ratio = 2)
-12, -10.8, ... -- arithmetic (common difference = -1.2)
-1, 1, ... -- geometric (common ratio = -1)
Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...) (-12,-10.8, -9.6,-8.4)
Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)
Neither (1,0,-1,0,...)
Step-by-step explanation:
I guarantee these are correct.
An element with mass 330 grams decays by 25.5% per minute. How much of the
element is remaining after 5 minutes, to the nearest 10th of a gram?
Answer:
After 5 minutes, it remains 75.73 grams of mass.
Step-by-step explanation:
Each minute, the mass is decreased by a 25.5%. So, we can find the mass after each minute period.
First minute.
330gr - 0.255 (330gr)= (330 - 84.15)gr = 245.85gr
Second minute.
245.85 - 0.255 (245.85) = 245.85 - 62.69 = 183.16gr
Third minute.
183.16 - 0.255 (183.16) = 183.16- 46.70= 136.45gr
Fourth minute.
136.45- 0.255 (183.16) - 136.45 - 34.80= 101.65gr
Fifth minute.
101.65 - 0.255 (101.65)= 101.65 - 25.92= 75.73gr
Therefore, after 5 minutes, it remains 75.73 grams of mass.
if susan subtracts 14 from one third of her number she gets 2
Answer:
Step-by-step explanation:
2 + 14 = 16 x 3 = 48
An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a
$200,000 profit on that investment. In this example, what was her ROI?
Anyone??
Answer:
In terms of %, it's 20%.
Step-by-step explanation:
Used an ROI calculator:
Which is an equation of the line through (0,0) and (-3,-7)?
O A. y=-7x
O B. y= 2
O C. y = 2
O D. y=-3x
Answer:
y=7/3x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-0)/(-3-0)
m=-7/-3
m=7/3
y-y1=m(x-x1)
y-0=7/3(x-0)
y=7/3(x)
y=7/3x
Equation of the line through (0,0) and (-3,-7) is y=7/3x
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the equation of the line through (0,0) and (-3,-7)
m=-7/-3=7/3
Now let us find the y intercept
-7=7/3(-3)+b
b=0
So the equation is y=7/3x
Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x
To learn more on slope of line click:
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Simplify 4.510. (25 points)
a
4.51
b
1
c
0
d
−1
Answer:
A-4.51
Step-by-step explanation:
I was going to ask to what place but then I saw all the others wouldn't make sense.
Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get
Answer:
67 quarters
Explanation:
(5x + 3) + (9x + 5)
Help!!!!!!!
mario made a table with the rules below
rules
x - coordinate
start with 1 and multiply each term by 3
y- coordinate
start with 1 and add 3 to each term
anwer choices
a- (1,1) (3,4) (9,7)
b- (1,4) (3,6) (6,18)
c-(1,3) (3,9) (6,12)
d- (1,3) (1,4) (6,10)
e- (1,1) (3,3) (6,10)
Answer:
a- (1,1) (3,4) (9,7)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Help me with this question
Answer:
I don't have any idea of that question
Step-by-step explanation:
I'm sorry
Nineteen less than twice a number is greater than the number added by four
Answer:
2x - 19 + x + 4
Step-by-step explanation:
2x - 19 + x + 4