Answers
Answer:
Given below.Step-by-step explanation:
Q.1.
[tex]ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)[/tex]
apply ln rules:
[tex]ln( 4 * x) = ln (24)[/tex]
cancel ln from both sides:
[tex]4x = 24[/tex]
divide both sides by 4:
[tex]x = 6[/tex]
Q.2.
[tex]2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)[/tex]
apply ln rules:
[tex]ln\left(x^2\right)=ln\left(4*9\right)[/tex]
cancel ln from both sides:
[tex]x^2 = 36[/tex]
[tex]x = \pm6[/tex]
as ln cannot be negative:
[tex]x = 6[/tex]
Related Questions
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
6 yd
Answers
Answer:
Volume = 904.78 yards
Step-by-step explanation:
The formula for a sphere is:
V=4/3πr³
Since we already know that the radius is 3 yards and that π is 3.14 all we have to do is plug in the numbers.
V=4/3(3.14)(6)³
V=4/3(3.14)(216)
V=4.1897(216)
V≈904.78 yards
100 points once again, if you answer with nonsense I will report you:
Jackson made a drawing for his residence including a villa and a garden, as in the given figure. Using the scale drawing, what is the perimeter of the villa in real life?
Answers
Answer:
60 meters.
Step-by-step explanation:
Here the villa has length of 6 cm and breadth of 4 cm
Find perimeter using:
2(length + breadth)
2(6 + 4)
20 cm
Here in scale the drawing perimeter is 20 cm
3 meter = 300 cm ......this is for real.
1 cm here --> 20 cm
300 cm in real --> (20*300) cm
Real perimeter = 6000 cm
If 6000 cm converted to m:
(6000/100) = 60 meters.
Find perimeter using:
[tex]2(length + breadth)[/tex]
[tex]2(6+4)[/tex]
[tex]20 cm[/tex]
Here in scale the drawing perimeter is [tex]20 cm[/tex]
[tex]3 meter = 300 cm [/tex]
[tex]1 cm → 20 cm[/tex]
[tex]300 \: cm → (20×300) cm[/tex]
[tex]Real \: perimeter = 6000 cm[/tex]
If [tex]6000 \: cm[/tex]converted to m:
[tex](\frac{6000}{100}) = 60 \: meters[/tex]
Which is greater 24.005 or 24.05
Answers
Answer:
24.05
Step-by-step explanation:
24.005 has more numbers but worth less
24.05 is more
Write an equation of a line that passes through -4, -4 and 4,4
Answers
Answer: y=x
Step-by-step explanation:
The slope is (y2-y1)/(x2-x1) = 8/8 = 1
Plugging it into the equation y = mx+b:
y = x + b
Plugging in one of the coordinates:
4 = 4+b
b = 0
Therefore, the equation of the line is y=x
A small college had 7,500 students enrolled in 2010, and the number of students enrolled has increased by 3% each year since. If f(n) represents the number of students enrolled n years after
2010, then which function best represents its value?
Answers
Answer:
7800
I already take a homework with this question
i need help with math asap
Answers
[tex]\huge\blue{\mid{\fbox{\tt{\:ANSWER\:}}\mid}}[/tex]
[tex]y=-2x[/tex]____________________
The graph,
What is this expression in simplified form? 2y^2√15+5y√15-3y^2√60+7y
Answers
Answer:
your answer will be letter b
Step-by-step explanation:
The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $24 a bushel if she sells them now, with each tree yielding an average of 4 bushels. The yield increases by half a bushel per week for the next 5 weeks, but the price per bushel decreases by $1.50 per bushel each week. In how many weeks should the oranges be picked for maximum return?
Answers
Answer:
4
Step-by-step explanation:
Let's say the amount of bushes sold (yield) is b, and the price per bushel is p.
When calculating total revenue, we want to multiply price by quantity. Quantity here is b, and price is p. Therefore, p*q = revenue = return.
Let's say that the amount of weeks is w.
Price after w weeks = 24 - 1.50 for each week = 24 - 1.50w
Yield after w weeks = 4 + 0.5 for each week = 4 + 0.5w
Revenue after w weeks = p * b = (24-1.50w) * (4+0.5w) = 96 - 6w + 12w - 0.75w² = -0.75w²+6w + 96.
We want to maximize revenue. First, we can find when the derivative of the function is 0.
d/dw(-0.75w²+6w + 96) = -1.5w + 6 = 0
subtract 6 from both sides
-1.5w = -6
divide both sides by -1.5 to isolate w
w = 4
plug that into our equation
-0.75(4)²+6(4) + 96 = -12 + 24 + 96 = 108
Because this function has a negative coefficient for the w², we can say that it is a parabola opening up downward, so when the derivative = 0, we have found the maximum of the function. Therefore, 4 is our answer
Please give me the correct answer
Answers
Answer:
(a) 3 , 4(b) 3 , 4Hope this helps.
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3\/101
\/90
3\/90
3\/20
\/20
\/7
8\/800
Between 2 and 3
Between 4 and 5
Between 9 and 10
PLEASE HELP!!!
Answers
The trapezoids below are similar. Find z.
Answers
ratio remains same.
[tex]\\ \tt\longrightarrow \dfrac{2}{14}=\dfrac{7}{2z}[/tex]
[tex]\\ \tt\longrightarrow 4z=14(7)[/tex]
[tex]\\ \tt\longrightarrow 4z=98[/tex]
[tex]\\ \tt\longrightarrow z=98/4[/tex]
[tex]\\ \tt\longrightarrow z=24.5[/tex]
The base diameter and the height of a cone are both
equal to x units
Which expression represents the volume of the cone, in
cubic units?
Answers
Answer:
D
Step-by-step explanation:
V=(1/3)(pi)(r^2)(h)
=(pi/3)((x/2)^2)(x)
=(pi/3)(x^2/4)(x)
=x^3 * pi/12
Answer:
D
Step-by-step explanation:
One-twelfthπx3
Larry wants to buy a car cover for his vintage corvette. His car is 15 feet in length, but car covers are only sold in yards. Choose the cover that fits Larry's corvette best.
A) 3 yards
B) 5 yards
C) 7 yards
D) 45 yards
Answers
Answer:
5 yards
Step-by-step explanation:
15/3=5
Austin surveys 60 women in an apartment building to determine the most preferred form of exercise they perform on a regular basis. he tabulates the results as shown
Answers
Round to the nearest ten-thousand. 1,409,836
Answers
Answer:1,410,000
Step-by-step explanation:
In one U.S. city, the taxi cost is $5 plus $0.90 per mile. If you are traveling from the airport, there is an additional charge of $3.50 for tolls. How far can you travel from
the airport by taxi for $40.00?
Answers
Answer:
35 miles
Step-by-step explanation:
At the start, you lose $8.5 for tolls and the taxi cost.
You're left with $31.5 after that, every mile costs you $0.9, so you can go 31.5 : 0.9 = 35 miles.
What is the answer
7a-9b+6a-4b
Im having problems with this and need an answer with explanation if is positive maybe that way can be more easy to understand
Answers
This is because you have to add/subtract your like variables. So 7a + 6a=13a. Then you have -9b-4b=negative 13b. So 13a-13b
Can someone help me answer this please?
Answers
Answer:
105 minutes
Step-by-step explanation:
The pond is a prism. Its volume is the area of the trapezoidal base (the front and back faces) multiplied by the height (the 1 m edge).
Area of base of pond (front face) = (1/2)(B + b)h
Base = (1/2)(1.5 m + 0.6 m)(2 m) [Here, height is the height oif the trapezoid, so it is 2 m]
Base = 2.1 m²
Volume = Base × Height
Volume = 2.1 m² × 1 m [Here, height is the height of the prism, so it is 1 m]
Volume = 2.1 m³
The volume of the upper 30 cm (= 0.3 m) of the pond is:
V = LWH
V = 2 m × 1 m × 0.3 m
V = 0.6 m³
The volume of water decreased 0.6 m³ in 30 minutes.
In 60 minutes, it would decrease by 1.2 m³.
60 minutes = 1 hour
The flow rate is 1.2 m³ / hour.
The total volume of the pond is 2.1 m³.
Emptying out the pond completely means removing 2.1 m³ of water at the flow rate of 1.2 m³/hour.
flow rate = volume/time
time × flow rate = volume
time = volume / flow rate
time = 2.1 m³ / 1.2 m³/hour = 1.75 hour
time = 1.75 hour × 60 minutes/hour = 105 minutes
Answer: 105 minutes
PLEASE HELP IM BEGGING!!!!
Answers
Answer:
y = 28°
Step-by-step explanation:
The triangle is a right triangle which has 90 degrees.
The 3x falls under 90 degrees.
So:
→ 2y + 90° + 34° = 180°
→ 2y = 180° - 124°
→ 2y = 56°
→ y = 28°
Triangle
XYZ = right triangle
3x = 90°
X + Y + Z = 180°
34° + 3x + 2y = 180°
34° + 90° + 2y = 180°
2y = 180° - (34° + 90°)
2y = 56°
y = 28°
In the figure shown below, the area of the large rectangle is (5x)(8x + 1) and the area of
the small rectangle is (4x)(2x), which of the following expressions represents the area of
the shaded region?
HELP
Answers
Answer:
ok so the shaded area will be the larger rectange minus the smaller one so lets find the area of both by multiplying the sides
(5x)(8x+1)=40x^2+5x
(4x)(2x)=8x^2
so
40x^2+5x-8x^2
32x^2+5x or
x(32x+5)
so a
Hope This Helps!!!
Roger pays $2,240 in rent every month. This amount is $180 more than four times what his brother Raul pays for rent. How much does Raul pay for rent?
Answers
2,240 - 720 = 1,520
Raul pays 1,520 for rent
How many pounds is 3/4+3/4+3/4=
Answers
That all added is 9/4 so now just turn that into pounds. goodluck :)
Answer:
2 1/4
Step-by-step explanation:
You can add together all of the numerators to get 9/4 which simplifies to be 2 1/4.
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.145t2 + 0.019t + 5.5. How many seconds will it take for the frisbee to hit the ground?
–6.2 seconds
–6.1 seconds
5.5 seconds
6.2 seconds
Answers
Answer:
6.2 seconds
Explanation:
Given function: h(t) = – 0.145t² + 0.019t + 5.5
Here h(t) which determines the height, when Frisbee touches the ground, the height shall be 0.
solve the quadratic equation:
using the formula: [tex]\left[\begin{array}{ccc} t = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\end{array}\right][/tex]
Solving steps:
→ –0.145t² + 0.019t + 5.5 = 0
→ [–0.145t² + 0.019t + 5.5 = 0 ]* 100
→ -145t² + 19t + 5500 = 0
→ [tex]t = \frac{ -19 \pm \sqrt{19^2 - 4 ( -145)(5500)}}{2(-145)}[/tex]
→ [tex]t_1=\frac{-19+\sqrt{3190361}}{2\left(-145\right)},\:t_2=\frac{-19-\sqrt{3190361}}{2\left(-145\right)}[/tex]
→ [tex]t = -6.09[/tex] , [tex]t = 6.2[/tex]
→ [tex]t = 6.2[/tex]
Time cannot be negative here.
So time taken: 6.2 seconds.
Answer:
D. 6.2 secondsStep-by-step explanation:
When the frisbee hits the ground, the value of h is zero.
Find the time required:
– 0.145t² + 0.019t + 5.5 = 0145t² - 19t - 5500 = 0t = (19 + √(19² + 4*145*5500))/290 = (19 + 1786,1)/290 = 6.2 seconds (rounded)Note, taking positive root only as time is never negativeHow many feet are there in 5 2/3 yards?
Answers
Answer:
17 feetStep-by-step explanation:
1 yard = 3 feet
1/3 3/3
1/3 yard = 1 feet
3ft * 5 yards = 15ft
1/3yard * 2 = 2/3yard 1ft * 2/3 = 2ft
15ft+2ft=17ft
you have 5 apples, multiply it by x, and get 1345. What is x?
Answers
Answer:
x = 269
explanation:
5 apples multiplied by x and equals to 1345solve:
5 * x = 1345
x = 1345/5
x = 269
Therefore x is 269.
note: changing sides changes multiplication(*) to division(/) and division(/) to multiplication(*).
Answer:
x = 269
Step-by-step explanation:
For this question, they are asking you to create a problem out of the information given. For this problem, we will require the use of division. Before we can solve, we need to create the problem first.
Because the problem says 5 multiplied by x, we have to multiply these two. (Important:) Anytime you are multiplying a coefficient (5 in this case) by a variable (x in this case) we have to put the coefficient in front of the variable, like this:
5x _ ___.
Now that we know that, the question states that this basically equals 1345. With that said, that just gave us the rest of the problem. Now let's put it together:
5x = 1345.
Now we can solve. To single out the variable (x) to find our answer, divide 5 into 1345:
5x = 1345
5 5
So, 1345 ÷ 5 = 269. After that, we are left with x and 269 (because the 5 was canceled out with the division). So, the answer is:
x = 269.
I hope that this helps.
What is the fraction of 1/2+1/3=
Answers
Answer: [tex]\frac56[/tex]
Work Shown:
[tex]\frac{1}{2}+\frac{1}{3}\\\\\frac{3}{6}+\frac{2}{6}\\\\\frac{3+2}{6}\\\\\frac{5}{6}\\\\[/tex]
To visualize this, cut up a circle into 6 equal pieces.
3 of those pieces represent half the circle (3/6 = 1/2)
2 more pieces represent one third (2/6 = 1/3)
We have 3+2 = 5 pieces out of 6 total. This is visual confirmation that 1/2 + 1/3 = 5/6
Anyone please help me
Answers
Answer:
1. x = 56
2. y = 2
3. x = 6
4. y = 3
5. k = 10.2
6. w = 21
7. x = 72
Step-by-step explanation:
1. x + 4 = 60
x = 56
2. 3y - 2 = 4
3y = 6
y = 2
3. 3x - 7 = 11
3x = 18
x = 6
4. 5y + 3 = 18
5y = 15
y = 3
5. 3 + 6k = 64
6k = 61
k = 10.2
6. w ÷ 3 - 5 = 2
w ÷ 3 = 7
w = 21
7. x ÷ 8 + 3 = 12
x ÷ 8 = 9
x = 72
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Answer (a) :-[tex]\bold{\red{ x + 4 = 60 }}[/tex]
[tex]\sf{ x = 60 - 4 }[/tex]
[tex]\bold{ x = 56 }[/tex]
Hence , The value of x is 56 .
Answer ( b) :-[tex]\bold{\red{ 3y - 2 = 4 }}[/tex]
[tex]\sf{ 3y = 4 + 2 }[/tex]
[tex]\sf{ 3y = 6}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{6}{3}}}[/tex]
[tex]\bold{ y = 2 }[/tex]
Hence , The value of y is 2 .
Answer ( c) :-[tex]\bold{\red{ 3x - 7 = 11 }}[/tex]
[tex]\sf{ 3x = 11 + 7 }[/tex]
[tex]\sf{ 3x = 18}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{18}{3}}}[/tex]
[tex]\bold{ x = 6 }[/tex]
Hence , The value of x is 6 .
Answer ( d) :-[tex]\bold{\red{ 5y + 3 = 18 }}[/tex]
[tex]\sf{ 5y = 18 - 3 }[/tex]
[tex]\sf{ 5y = 15}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{15}{5}}}[/tex]
[tex]\bold{ y = 3 }[/tex]
Hence , The value of y is 3 .
Answer ( e) :-[tex]\bold{\red{ 3 + 6k = 64 }}[/tex]
[tex]\sf{ 6k = 64 - 3 }[/tex]
[tex]\sf{ 6k = 61}[/tex]
[tex]\bold{ k = }{\sf{\dfrac{61}{6}}}[/tex]
Hence , The value of k is 61/6 .
Answer ( f) :-[tex]\bold{\red{\dfrac{W}{3}}}{\bold{\red{ - 5 = 2 }}}[/tex]
[tex]\sf{\dfrac{W - 15}{3}}{\sf{ = 2 }}[/tex]
[tex]\sf{ W - 15 = 2}{\sf{\times{ 3 }}}[/tex]
[tex]\sf{ W - 15 = 6 }[/tex]
[tex]\sf{ W = 6 + 15 }[/tex]
[tex]\bold{ W = 21}[/tex]
Hence , The value of W is 21 .
Answer ( g) :-[tex]\bold{\red{\dfrac{x}{8}}}{\red{\bold{ + 3 = 12 }}}[/tex]
[tex]\sf{\dfrac{x + 24 }{8 }}{\sf{ = 12 }}[/tex]
[tex]\sf{ x + 24 = 12}{\sf{\times{ 8 }}}[/tex]
[tex]\sf{ x + 24 = 96 }[/tex]
[tex]\sf{ x = 96 - 24 }[/tex]
[tex]\bold{ x = 72 }[/tex]
Hence, The value of x is 72 .
What is the value of the expression: 4(n+13) where n=5
45
235
72
41
Answers
Answer:
72
Step-by-step explanation:
=> 4(n+13)
putting the value of n which is 5
=> 4(5+13 )
=> 4(18)
=> 72
70 PTS will mark brainly
This is Josh’s solution for the equation x^2-6x-7=0
x^2-6x-7=0
x^2-6x=7
x^2-6x+9=7+9
(x-3)^2=16
x-3=16
x=19
x-3=-16
x=-13
explain what mistake he made on step 5 which is x-3=16
Answers
Answer:
See below.Explanation:
easy way to solve:
[tex]x^2-6x-7=0[/tex]
[tex]x^2+x-7x-7=0[/tex]
[tex]x(x+1)-7(x+1) =0[/tex]
[tex](x-7)(x+1)= 0[/tex]
[tex]x = 7, -1[/tex]
Mistake:
In step 5,
Josh should have given:
[tex](x-3)^2=16[/tex]
[tex]x-3 = \pm \sqrt{16}[/tex] [ changing sides changes square sign to [tex]\pm[/tex] square root ]
[tex]x-3 = \pm 4[/tex]
[tex]x -3 = 4[/tex], [tex]x-3 = -4[/tex]
[tex]x = 7[/tex], [tex]x = -1[/tex]
Brainliest if correct Question
Answers
Answer:
x=2
Step-by-step explanation:
18−7x=2x
Step 1: Simplif
18−7x=2x
18+−7x=2x
−7x+18=2x
Step 2: Subtract 2x from both sides.
−7x+18−2x=2x−2x
−9x+18=0
Step 3: Subtract 18 from both sides.
−9x+18−18=0−18
−9x=−18
Step 4: Divide both sides by -9.