Answer:
8
Step-by-step explanation:
the formula for direct variation =
Y ∝ kX
such that
Y = kX
from the question we have here
Y = Volume = 24
x = height = 3
when we put this in the formula above in bold
24 ∝ 3k
24 = 3k
from here we have to find the value of k. to do this, we divide through by 3
24/3 = 3k/3
8 = k
therefore the value of k is 8
Help ASAP Pls! 20 points!
Use a minimum of two sentences to describe the process for writing the ln(x)=5 in exponential form.
Answer:
In explanation
Step-by-step explanation:
ln(x) = 5
log (base e) x = 5
exponential form is e ^ 5 = x
you should be able to generate 2 sentences from here, hope it helps!
A roller skating rink charges a skate rental fee and an hourly rate to skate.
The total cost to skate for 2 hours is $9.50 and for 5 hours is $18.50.
Assume the relationship is linear. Find and interpret the rate of change and
where x represents the number of hours and y represents the total cost.
initial value. Then write the equation of the function in the form y = mx + b
Answer:
The initial value, b = $3.50 is the skate rental fee
The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink
Step-by-step explanation:
From the question we have;
The charges of the roller skating rink = A skate rental fee + An hourly rate
The total cost to skate for 2 hours = $9.50
The total cost to skate for 5 hours = $18.50
The relationship between the total cost of skating and the duration in hours = Linear relationship
Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;
The form of the equation is y = m·x + b
Where;
m = The rate of change of the linear relationship
b = The initial value (y-intercept)
When x = 2, y = 9.50
Therefore, we can write;
9.50 = 2·m + b...(1)
When x = 5, y = 18.50
Therefore, we can write;
18.50 = 5·m + b...(2)
Subtracting equation (1) from equation (2) gives;
18.50 - 9.50 = 5·m - 2·m + b - b = 3·m
9.0 = 3 × m
∴ m = 9.0/3 = 3.0
The rate of change, m = 3.0
Similarly, we have;
From equation (1), we get;
9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b
9.50 = 6.0 + b
∴ b = 9.50 - 6.0 = 3.50
The initial value = 3.50
Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Find m QRS? who can help me?
Answer:
m<PRS+m<PRQ=m<QRS.
17 + 17 = 34
m<QRS=34
Answer:
34 degrees
Step-by-step explanation:
anglePRS is 17 degrees
angle QRT is also 17 degrees
angle qrt +prs =34 degrees
Slove the system of the linear equations by either sus substitution or elimination 8x-12y=20 4x-4y=-4
Answer:
x = -8 and y = -7
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
8x−12y=20;4x−4y=−4
Step: Solve8x−12y=20for x:
8x−12y+12y=20+12y(Add 12y to both sides)
8x=12y+20
8x
8
=
12y+20
8
(Divide both sides by 8)
x=
3
2
y+
5
2
Step: Substitute
3
2
y+
5
2
forxin4x−4y=−4:
4x−4y=−4
4(
3
2
y+
5
2
)−4y=−4
2y+10=−4(Simplify both sides of the equation)
2y+10+−10=−4+−10(Add -10 to both sides)
2y=−14
2y
2
=
−14
2
(Divide both sides by 2)
y=−7
Step: Substitute−7foryinx=
3
2
y+
5
2
:
x=
3
2
y+
5
2
x=
3
2
(−7)+
5
2
x=−8(Simplify both sides of the equation)
Find the factor form for each problem. (Show work)
1. 12x²+8x
2. 2x²-16x
Step-by-step explanation:
12x^2 + 8x
4x ( 3x + 2)
2x^2 - 16x
2x ( x - 8)
Which exponential equation is equivalent to the logarithmic equation below?
log 300 = a
A. 3000 = 10
B. a10 = 300
C. 100 = 300
D. 30010 = a
Answer:
[tex]\implies\boxed{ 10^a = 300 }[/tex]
Step-by-step explanation:
We are provided logarithmic equation , which is ,
[tex]\implies log_{10}^{300}= a [/tex]
Here we took the base as 10 , since nothing is mentioned about that in Question .Say if we have a expoteintial equation ,
[tex]\implies a^m = n [/tex]
In logarithmic form it is ,
[tex]\implies log_a^n = m [/tex]
Similarly our required answer will be ,
[tex]\implies\boxed{ 10^a = 300 }[/tex]
Rudy makes 4 baskets out of every 10 attempts. At this rate, how many baskets would he score in a season when he attempted 75 shots?
20 Points!!! Pls help me out with this, and please no links.
Answer:
7
Step-by-step explanation:
Answer: your answer is B
Step-by-step explanation:
Im so sorry if im wrong, have a good day!
Can someone help me with this. Will Mark brainliest.
Answer:
B (3, -4)
Step-by-step explanation:
A( -7, 2)
midpt ( -2, -1)
Equation:
(x + 5, y - 3)
Solve for B:
( -2, -1)
(x + 5, y - 3)
(3, -4)
QUICK! Giving brainliest to correct answer
Answer:
Dominos is the better deal.
1. What is the diameter of a circle with radius of 7 inches?
Answer:
14 because the radius is half the diameter
Step-by-step explanation:
Answer:
The answer should be D=14in
If water flows through the pipe at a rate of 2L per seconds. How much water will pass through the pipe in 1/2hour
Answer:
3600 Liters
Step-by-step explanation:
The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate
1/2 hour is the same thing as 30 mins
multiply by 60 to convert minutes to seconds
[tex]3omin * \frac{60sec}{1min} = 1800 s[/tex]
since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters
What’s the area?? There’s a picture
Answer:
A= 12 Ft^2
Step-by-step explanation:
Reminder the Area formula is A=B(Base) times H(Height).
Take The base (6) and the Height (6) then multiply.
Hence, the reason is 12 Ft squared.
What is the distance to the nearest tenth A unit, between point M (-8,-1) and point N (3,5)?
Answer: 12.5
Step-by-step explanation:
I NEED HELP
Please write the right answer
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
i'm taking that test rn
Step-by-step explanation:
There were 442 students at Deerlake Middle School who voted on a theme for the spring
carnival. Those who voted represent 76% of the entire student population. About how many
students attend Deerlake Middle School?
581
590
600
580
Answer:
581
mark me as brainliest plz
help with this please
Answer:
a = 7. b = 24, c = 25. This is a Pythagorean triple
Step-by-step explanation:
This equation shows how the time required to ring up a customer is related to the number of
items being purchased.
t = 3p + 11
The variable p represents the number of items being purchased t =3p + 11 The variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer. How long does it take to ring up a customer with 3 items?
Answer:
it is x=4÷2
Step-by-step explanation:
I just known the answer who cares about the steps
if y = .5x + 2, what is the value of x when y=4
y=0.5x+2
y=4
4=0.5x+2
-2 -2
2=0.5x
/0.5 /0.5
4=x
---
hope it helps
Answer:
[tex]x[/tex] = 4
Step-by-step explanation:
If [tex]y[/tex] = 4 then it would look like:
[tex]y[/tex] = .5[tex]x[/tex] + 2
Since .5 is 0.5, Half of 4 equal 2, PLUS the other 2 making it 4!!
1
4
2
D
3
In the diagram above, Z4 = 35°.
Find the measure of Z2.
Z2 = [?]
Answer:
35°
Step-by-step explanation:
Due to the parallelism, angle2=angle4
Will give crown for the RIGHT answer please do not mess around or give me weird links
Answer:
28
Step-by-step explanation:
convert 53 m = cm
help pls
Find the area of the semicircle. Round your answer to the nearest whole number, if necessary. semicircle 40cm
Answer:
Answer is NOT 126 CORRECT answer is 628
Step-by-step explanation
First you divide 40 by 2 which equals 20 . Then you do pi which equals 3.14 and you multiply it by 20^(2) which equals 1256 . After that you take 1256 and divide it by 2 which equals 628 .
Graph y = 2x + 1
Help pleaee
Answer:
Step-by-step explanation:
Answer:
Answer is linked
Step-by-step explanation:
The equation is in slope-intercept form, which is y = mx + b.
To graph the line, first we have to find the slope, m, and the y- intercept, b.
So, the slope is 2 and the y- intercept is 1.
We can graph this, beginning with the y- intercept, 1. The y- intercept is always on the y axis, so the (x) value will always be zero.
Plot a point at (0, 1).
Next, add more points using the slope. The slope is 2, or [tex]\frac{2}{1}[/tex]. Start at the point we have made on the y axis. The slope equals the [tex]\frac{rise}{run}[/tex]. We can rise 2 units, then run one more unit to the right. If the slope is negative, the run goes to the left. However, in this case, the slope is positive, to it slants to the right.
We end on point (1, 3). We can continue this path infinitely, some other points on the graph could be (2, 5), (3, 7), (4, 9) and (5, 11).
Connect these points to make a line.
The finished line is linked below as well.
I hope this helps :] Good luck ^^
Im not sure how to do this can someone please help me only answer if you know
Answer:
57%
Step-by-step explanation:
FORMULA:LESS/TOTAL × 100%
=52/92 × 100%
=56.52 %
ROUND OFF TO NEAREST WHOLE NUMBER
56.52%=57%
(because the 5 after the (.) is near 1)
An item is priced at $13.75. If the sales tax is 7%, what does the item cost including sales tax?
Answer:
divide 7/100 which is 0.07
multiply that by 13.75, and you get 0.96
13.75+0.96= $13.20
(this is including sales tax)
Answer:
$12.78
Step-by-step explanation:
I THINK you are supposed to multiply the original price (13.75) by the sales tax as a decimal (0.07) and then subtract that answer from, the original, amount.
Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1
I need help plz I’ll appreciated
Answer:
y = x -3
Step-by-step explanation:
Find the area of the triangle shown
6 cm
8 cm
O 48 cm squared
O 24 cm squared
O 14 cm squared
O Not here