4(3√x-2)+1=9. what is the solution to this equation
Answer:
x=22/9
Step-by-step explanation:
4(3√(x-2))+1=9
4(3√(x-2))=8
3√(x-2)=2
√(x-2)=2/3
x-2=4/9
x=4/9+2
x=4/9+18/9
x=22/9
Therefore, the solution is x=22/9
pls help with this question
Answer:
We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help
Step-by-step explanation:
. No one is going to do this whole assignment/homework.
Find the area of irregular shapes
So far, we have found area for rectangles, triangles, trapezoids, and circles. An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas. But some irregular figures are made up of two or more standard geometric shapes. To find the area of one of these irregular figures, we can split it into figures whose formulas we know and then add the areas of the figures.
Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.
3x^2+4.5
________
x^2-1.5
lim
x → ∞
Answer:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Step-by-step explanation:
We want to evaluate the limit:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]
To do so, we can divide everything by x². So:
[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]
Now, we can apply direct substitution:
[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]
Any constant value over infinity tends towards 0. Therefore:
[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]
Hence:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:
[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]
The limit of a constant is simply the constant.
We acquire the same answer.
What is the area of the triangle. Side a=24cm b=30cm h=18cm
Answer:
a=270cm^2
Step-by-step explanation:
a= HbB/2
18×30/2
270cm^2
Answer:
Area =(H×B)÷2
=(18x30)÷2
=54O ÷2
=27O
James divided the candy bar
into 4 parts.
He gave 1 part to his friend.
Answer:
If he gave 1 part to his friend then he will have 3 parts left. Is that what you needed help on?
What is the interquartile range for Genivieve’s data?
Answer:
May you please attach a picture of Genivieve’s data or insert it as text?
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
i got 100% on edmentum
A deck wraps around the back of a house. Find the area of the deck made up of rectangles.
Answer: Base and Height
Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2
HELP ME ASAP
(THE ANSWER IS ALSO COULD BE NONE)
Answer:
B
Step-by-step explanation:
They have to be the same shape and size so the most probability is B
Assume your home is assessed at $245,000. You have a $171,000 loan for 25 years at 6 percent. Your property tax rate is 1.4 percent of the assessed value. In year one, you would pay $10,260 in mortgage interest and $3,430 in property tax (1.4 percent on $245,000 assessed value).
Answer: $3,833.20
Step-by-step explanation:
Mortgages interest and property tax are both federal deductions so they will reduce taxes:
= 10,260 + 3,430
= $13,690
The tax saving is therefore:
= 13,690 * tax rate
= 13,690 * 28%
= $3,833.20
Question 4:
QA: once is the depth of each diver for three minutes from now
QB: in how many minutes will the assistant be 33.3 m below the surface
QC: according to the algebraic model, in how many minutes will the divers be at the same depth
Answer:
a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.
b. 10 minutes
c. 6 minutes
Step-by-step explanation:
Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.
Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.
a.
J(x)=-13.9-7.5x
J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4
a(x)=-97.3=+6.4x
a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1
b.
a(x)=-97.3=+6.4x
-33.3=-97.3=+6.4x
64=6.4x
x=10
c.
when divers are at the same depth, J(x)=a(x)
J(x)=a(x)
-13.9-7.5x=-97.3=+6.4x
83.4=13.9x
x=6
Susan invests $Z at the end of each year for seven years at an annual effective interest rate of 5%. The interest credited at the end of each year is reinvested at an annual effective rate of 6%. The accumulated value at the end of seven years is $X. Lori invests $Z at the end of each year for 14 years at an annual effective interest rate of 2.5%. The interest credited at the end of each year is reinvested at an annual effective rate of 3%. The accumulated value at the end of 14 years is $Y.
Required:
Calculate Y/X.
Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:
[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]
So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:
[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]
Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴
[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]
= 2.02955
There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?" (4 points)
Group of answer choices
Number line with closed circle on 2 and shading to the right.
Number line with open circle on 2 and shading to the left.
Number line with open circle on 2 and shading to the right.
Number line with closed circle on 2 and shading to the left.
Answer: The 3rd answer
Step-by-step explanation:
Since there is already 3 people in the club all you need is something greater than 2 so answer number 3 is the correct one since it says greater then 2.
Hope this helped! :)
Write 3 ratios equivalent to 2/5
Answer:
4/10, 6/15, 8/20
Step-by-step explanation:
What is the total weight of Dorothys apples
Weight: Number of apples:
1/4. 3
3/8. 6
1/2. 5
5/8. 4
3/4. 2
Work does not have to be included if you decide to do it! I’ll give anyone who does it a lot of points!
Solve the system of equations x - y = 12 and x + 7y = -20 by combining the
equations.
Answer:
x=16, y=-4
Step-by-step explanation:
-1(x-y=12)
x+7y=-20
-x+y=-12
x+7y=-20
8y=-32
y=-4
x-4=12
x=16
Answer:
x= 8, y= -4
Step-by-step explanation:
You can subtract one equation by another to eliminate x
(x-y)-(x+7y)=12-(-20)
-8y = 32
y= -4
Substitute y = -4 in the first equation:
x-(-4) = 12
x =8
Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate
Answer:
overestimate = 7
underestimate = 5
Step-by-step explanation:
Table
_________________________________
Time (months) 0 1 2 3 4 5 6
Rate 5 7 9 14 22 31 40
___________________________________
A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.
Overestimate
For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.
Just a month and that month has a value of 7
= 1* 7 (The largest value) = 7
Underestimate
This would be equivalent to the total until the previous meassure
= 1*5 = 5
The question is down below.
AB=
Answer:
Step-by-step explanation:
Use the cosine identity:
cos(x) = adj/hyp.
Here, adj = 2 and and x = 50° and hyp is unknown and what we are solving for.
adj/cos(x) = hyp, 2/cos(50) = hyp.
hyp = 3.11
Use the table to write a linear function that relates y to x .
y=
Answer:
y= -1/4x
Step-by-step explanation:
Yasmin designed a square table using a scale drawing. The actual length of each side was 4 feet and the scale facto
was 1 inch : 2 feet. Choose the figure with the correct side length if Yasmin changed the scale factor to 1 inch: 3 2/3 feet.
A. X = 2ft
B. X = 6 2/3
C. X = 7 1/3
D. X = 14 2/3
Note: please explain how to get the answer because I kept getting D as my answer. Is there a mistake I made? And please do not answer with links.
Answer:
It is x = 7 1/3
Step-by-step explanation:
2 feet is being used in the scale factor and 2 x 3 2/3 is 7 1/3.
Please mark as brainliest
Answer:
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
we have:
[tex]scale \: factor = \frac{smaller \: length}{larger \: length} [/tex]
let the length be x.
we have
[tex]2 = \frac{x}{3 \frac{2}{3} } [/tex]
[tex]x = 2 \times \frac{11}{3} [/tex]
[tex]x = 7 \frac{1}{3} [/tex]
so.
C .[tex]x = 7 \frac{1}{3} [/tex] is your answer
Please help I AM BEGGING YOU
Answer:
600 sq.ft.
Step-by-step explanation:
10 * 24 = 240 / 2 = 120
20*24 = 480
480+120 = 600
600 sq.ft.
Answer:
720
Step-by-step explanation:
So there are two things you need to remember to sovle this problem.
First, the formula for area of a square. This is just base x height.
Second, the formula for area of a triangle. THis is just 1/2 x base x height.
Lets plug our values into both formulas and see what we get.
So the area of the square would be:
24 x 20.
This is 480.
Now that we know the area of the square is 480, lets find the area of the traingle:
1/2 x 24 x 20
This will get you 240.
Low lets just add the two together, and we get:
240+480=720
So the area is:
720
HELP Asap :-/!!!! AHHHHHHHHHHH
Answer:
x = 9
Step-by-step explanation:
If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).
NO is corresponds to TS, thus sides NO and side TS are ≅.
=> 20 = 3x - 7
=> 3x = 27
=> x = 9
HELPPP PLEASE HELP A GIRL OUT
Answer:
I am guessing A or C.
Step-by-step explanation:
Hope this helps you :)
One leg of a right triangle has a slope of -4. What is the slope of the other leg?
Answer:
Step-by-step explanation:
1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.
A glass holds 1over6 liter of liquid.How many glasses of liquid are in 4 liters
Answer:
24 glasses
Step-by-step explanation:
If a glass holds 1/6 liters of liquid, that means that 6 of them can hold one liter
1/6 * 6 = 1
and if 6 of them can hold 1 liter, that means 24 of them can hold 4 liters
6 * 4 = 24
There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?
Answer:
[tex]C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (-5,-1)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D = (2,3)[/tex]
Required
The coordinate of the fourth point (C)
The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.
The coordinate of such rectangle can be represented as:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_1)[/tex]
[tex]D = (x_2,y_2)[/tex]
By comparing the general coordinates with the given coordinates, we have:
[tex]x_1 = -5[/tex] --- see A and B
[tex]y_1 = -1[/tex] --- see A and C
[tex]x_2 = 2[/tex] ---- see C and D
[tex]y_2 = 3[/tex] --- see B and D
So, we have:
[tex]C = (x_2,y_1)[/tex]
[tex]C = (2,-1)[/tex]
Answer is:
C. (2, -1)
What does the math equation y-2=
Answer:
5
Step-by-step explanation:
your answer is 5 hope it help
Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes
Answer:
85
Step-by-step explanation:
Which one is not a function? DONT USE THE LINK SCAM, I really need help
Which table contains only values that
satisfy the equation y = 6x +2?
FOR BRAINLIST!!
Answer:
table C
Step-by-step explanation:
We have to try to substitute the x with its value and y with its value. If the equality is satisfied, the points are points of the line
Table A
0 = 0 + 2
0 = 2 false, table A can’t be the answer
Table B
2 = 2 true
4 = 6 + 2
4 = 8 false, table B can’t be the answer
Table C
2 = 2 (true)
8 = 6+2 ; 8=8 (true)
14 = 12 + 2 ; 14= 14 (true)
20 = 18 + 2 ; 20=20 (true)