First make note of the domain of the left hand side.
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.
• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.
• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.
Now solve the equation. Taking the square of both sides of
√(7 + √(2 + √(x + 1))) = 3
yields
7 + √(2 + √(x + 1)) = 3² = 9
√(2 + √(x + 1)) = 2
Squaring both sides again gives
2 + √(x + 1) = 2² = 4
√(x + 1) = 2
And once more,
x + 1 = 2² = 4 ⇒ x = 3
ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% service charge. how much does each person pay if they share the bill equally
did i hear help i will help you soooooooo oooooooooo
Hey can yall help me asap
Answer:
4 pieces of fruit
Step-by-step explanation:
48 divided by 12 = 4
28 divided by 7 = 4
Which equation represents a line which is parallel to the line y = -7/2x-3
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- [tex]y=\frac{-7}{2}x-3[/tex]
- Our slope is [tex]\frac{-7}{2}[/tex]
[] So what will the line look like:
- [tex]y=\frac{-7}{2}x +?[/tex]
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A=6,500(1.0175)^4t
How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!
The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Given the exponential equation expressed as:
[tex]A=6500(1.0175)^{4t}\\[/tex]
Given that A = 20100, Substituting into the expression will give;'
20100 = 6500(1.0175)^4t
20100/6500 = (1.0175)^4t
3.0923 = (1.0175)^4t
Taking the ln of both sides
ln3.0923 = 4tln(1.1075)
4t = ln3.0923 /ln(1.1075)
4t = 1.12891/0.1021
4t = 11.05690
t = 11.05690/4
t = 2.76
t ≈ 3 years
Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Learn more on compound interest here: https://brainly.com/question/24274034
Find the 12th term of the geometric sequence 5,–25, 125, ...
Answer:
244140625
5¹²
it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.
Solve with elimination:
10a + 4b = 18
7a + 14 = b
solve for b
Can anyone help me with this
Answer:
47.2°
Step-by-step explanation:
Triangles PRQ and SRQ are congruent by HL. In these right triangles, the acute angles are complementary.
angle PRQ = angle SRQ = 90° -42.8° = 47.2°
The measure of angle PRQ is 47.2°.
please help i will give brainliest
[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]
solve for x (x-6)^2-5=0
Answer:
x=6+√5 or x=6−√5
Anyone Can you please check the already done one, and the rest I just need help!!! please:
Answer:
yes your math seems about right but wait for someone else to respond also because im not completely sure
Step-by-step explanation:
1.
How fast is the area of a square increasing when
the side is 3 m in length and growing at a rate of
0.8 m/min?
A. 4.8 m2 /min
B. 1.875 m²/min
C. 3.25 m2 /min
D. 5.5 m² /min
Using implicit differentiation, it is found that the area of the square is increasing at a rate of:
A. 4.8 m²/minThe area of a square of side length l is given by:
[tex]A = l^2[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt}[/tex]
The side is 3 m in length, hence [tex]l = 3[/tex].Growing at a rate of 0.8 m/min, hence [tex]\frac{dl}{dt} = 0.8[/tex]Then:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt} = 2(3)(0.8) = 4.8[/tex]
Hence, option A is correct.
To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353
Find the value of the variables.
Answer:
x = 90 degrees
y = 50 degrees
Step-by-step explanation:
The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.
How would you describe the graph for the equation lxl=2 ?
Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity
HELPPP ITS DUE TMRRRRRRRRR
Answer: I think that it's -125/27
Step-by-step explanation: Convert into a complex fraction (-5/3)^3 and then cube the 5 and 3 and don't change the negative sign. The answer then is -125/27
Hope it helps.
A red die is tossed and a green die is tossed.what is the probability that a red die shows an even number or the green die shows an even number? Make sure your answer is reduced
Answer: 75%
Step-by-step explanation:
Since there are 3 even numbers on each die and 3 odd, each dice has a 50% chance of showing an even number.
An easier way to think about this might be what are the chances that both dice show odd, because that is the only scenario where neither show an even number.
To do this, simply multiply the chances together:
[tex]0.5 * 0.5 = .25[/tex]
Therefore, there is a 25% chance that both die will be odd, meaning there is a 75% chance that one or both of the dice show an even number
If the human heart beats an average of 68 beats in
a minute, how many times will it beat in 84 minutes?
А
5,712
B 5,612
152
5,702
the sample space is 1,2,3,4,5,6 find p less than 0
Answer:
boom bam bam boom bam ba
Multiply the monomials:
3x^7, 4x^2 and -5x^3
Given monomials are 3x⁷ , 4x² and -5x³
On multiplying them then
⇛ (3x⁷)×(4x²)×(-5x³)
⇛(3×4×-5) × (x⁷×x²×x³)
⇛ -60×x^(7+2+3)
Since , a^m × a^n = a^(m+n)
⇛-60 × x¹²
⇛ -60x¹² Ans.
also read similar questions: Multiplying Polynomials by Monomials: 2x (5x-2) = 10x-4x...
https://brainly.com/question/21877934?referrer
Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)..
https://brainly.com/question/20695867?referrer
[tex]3x^7 .4x^2.(-5)x^3=3.4.(-5).x^{7+2+3}=-60x^{12}[/tex]
ok done. Thank to me :>
Plzzzz help meeeeee plzzzzz
Answer:
i need points sorry
Step-by-step explanation:
Help me: Solve: z^4 = -4
All answers should be in the format a+bi where a and b are real numbers
z²-2i=0
Answer:
Solution given:
z⁴=-4
doing square root on both side
[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]
we know i²=-1
substituting i² we get
z²=[tex]\sqrt{2²*i²}[/tex]
z²=2i
z²-2i=0 is a required answer. where
z² and 2 is real number.
Answer:
z = {-1 -i, -1 +i, 1 -i, 1 +i}
Step-by-step explanation:
Using Euler's formula, we can write the equation as ...
z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer
Then the 4th root is ...
z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3
z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3
z = ±1 ±i
z = {1 +i, -1 +i, -1 -i, 1 -i}
_____
Additional comment
Values of n are only needed in the range 0–3, because the answers repeat for values other than those.
What is an equation of the line that passes through the points (-6, -4)(−6,−4) and (3, 8)(3,8)?
Answer:
y = 4/3x + 4
Step-by-step explanation:
-4 - 8 / -6 - 3
-12 / -9
4/3 is slope
y = 4/3 x + b so we need to find b
Put one of the points in for y and x.
-4 = 4/3 (-6) + b
-4 = -8 + b
4 = b
y = 4/3x + 4
An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?
Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school
The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How many bales of hay are the horses fed each day?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/2 of a bale
Step-by-step explanation:
1/4 times 2 equals 1/2
PLEASEEEE HELP FOR BRAINLIST!!!!!!!!!
Same thing as before!
First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.
Please help other people are saying different answers and I 'm confused
Answer:
x ≈ 35.6
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos16° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{37}[/tex] ( multiply both sides by 37 )
37 × cos16° = x , then
x ≈ 35.6 ( to the nearest tenth )
y = one-fourth x minus 6 be determined? Explain.
Answer:
Step-by-step explanation:
For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.
We will see that both domain and range are the set of all real numbers.
D = (-∞, ∞)
R = (-∞, ∞)
Here we have the function:
The first thing we need to do is find the domain.
We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.
Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).
Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.
Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.
Then the range will also be the set of all real numbers.
heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(
Tell whether the given value is a solution of the inequality 5+j>8.
Answer:
j>3
Step-by-step explanation:
hope this helps sorry if it doesn't have a great rest of your night :)❤
Gravitational energy_____.
A. is a type of potential energy
B. Is the energy of an object position
C. Is stored energy
D. All of the above
SOLVE QUICKLY PLEASE!!
Answer:
A. is the type of potential energy
Step-by-step explanation:
examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill
What number comes in the blank?
20 x 47 x 5 = ____ x 100
Answer:
47
Step-by-step explanation:
20*47= 940
940*5=4,700
47*100=4,700
4 apples, 2 bananas, and 5 pearsWhat is the ratio of pears to all fruit?
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
five pears out of eleven fruit total
hope this helps!
Answer:
5 : 11
Step-by-step explanation:
total fruit = 4 + 2 + 5 = 11
Then the ratio of
pears : all fruit
= 5 : 11