Answer:
x = 9±sqrt(7)
Step-by-step explanation:
3(x-9)^2 =21
Divide each side by 3
3/3(x-9)^2 =21/3
(x-9)^2 =7
Take the square root of each side
sqrt((x-9)^2) =±sqrt(7)
x-9 =±sqrt(7)
Add 9 to each side
x = 9±sqrt(7)
Express the limit as a definite integral on the given interval.
n
lim Σ
n→[infinity] n i = 1 [3(xi*)3 − 7xi*]Δx, [2, 5]
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Answer:
[tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]
Step-by-step explanation:
The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.
I'm a little stuck on this, could I get some help? C:
How much would you need to deposit in an account each month in order to have $50,000 in the account in 10 years? Assume the account earns 5% annual interest compounded monthly.
Thank you, and I am eternally grateful.
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Answer:
$321.99
Step-by-step explanation:
Use the annuity formula and solve for P.
A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.
50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)
P = 50,000/155.282279 = 321.99
You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations
Answer:
what elevation there is no elevation
Step-by-step explanation:
pew pew
Answer:duhh
Step-by-step explanation:
Find the area of the shaded region.
Step-by-step explanation:
find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.
now find the area of the other semicircle on top of the big semicircle.
add your results
area of semicircle=1/2(pir^2)
What answer applies to “fine print”?
In goooooooogle you get your answer please Mark me as a brainlist
When 59,527 is divided by 23, the quotient is 2,588 R ___.
Answer:
3
Step-by-step explanation:
When 59,527 is divided by 23, the quotient is 2,588 R3.
Hope this helps! :)
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is years old. Harvey is years old.
Answer:
Jane is 12 years old.
Harvey is 36 years old.
Step-by-step explanation:
The explanation is attached.
How can I multiply this without a claculator 4103 x 25?
You just mutiple 4103×25and it =102575
multiply the fraction 5/6 to the decimal 2.4
Answer:
answer is 2. thank you. have a nice day
Find the value of x.
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Answer:
x = 50°
Step-by-step explanation:
The angle marked 73° is the average of the arcs marked 96° and x.
(x +96°)/2 = 73°
x = 2(73°) -96° . . . . solve for x
x = 50°
__
Additional comment
Then z = 360° -50° -114° -96° = 100°.
A wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Perry uses 12 milliliters of honey in his honey lemon dressing . He makes just enough dressing for 4 salads he puts the same amount on each salad .how much honey is on each salad ASAPPPPP
The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)
SO he used 3 milliters on each salad
Mark as Brainliest If the answer is helpful!
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
Convert 2 yards to centimeters. Round to the nearest whole
centimeter.
Answer:
183 centimeters
Step-by-step explanation:
2 multiply the length value by 91.44
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
1they are 15 kilometers apart
Answer equation in photo, show work please and thanks
Answer:
19
Step-by-step explanation:
There are 38 points total, each field goal is 2 points.
If we do 38/2 we get 19.
Image has work...
[tex]\frac{38}{2}[/tex]
The hypotenuse of a right triangle is 5m long. The shorter leg is 1m shorter than the longer leg. Find the side lengths of the triangle.
Answer:
Longer Leg = 5
Shorter Leg = 144
Hypotenuse = 169
Step-by-step explanation:
342,475 plus 71,925
Thank you
Answer:
414,400
Step-by-step explanation:
[tex]342.475 + 71.925[/tex]
[tex] = 414.400[/tex]
1- Operations with Fractions
2 1/2 - 5/3
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{5}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Anyone help me to solve this probability question in details. I have problems with probabilities. I will be giving the brainliest
Answer:
Step-by-step explanation:
The probability of breakdown
Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.
1. All machines breakdown.
1/4 +1/6 + 1/8 = 13/24
2. 2 machines break down
CM and D 1/4 + 1/6 = 5/12
CM and H 3/8
D and H 7/24
brainiest to whoever right
Answer:
Area of a triangle
Step-by-step explanation:
1/2bh is used to find the area for a triangle
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
Answer:
The second number line would be represented by the equation
Mr. Thompson's sixth grade class is competing
The radius of a circle is 4.0 millimeters. Find the diameter,
??
2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?
Answer:
The answer is 6000 days.
Express the terms of the following geometric sequence by giving an explicit formula. 8 , -32 , 128 , -512 , 2,048 , ...
Answer:
8*(-4)^(n-1)
Step-by-step explanation:
The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).
un automóvil a recorrido 640 km a velocidad constante 4 horas Cuál es la velocidad del automóvil
Answer:
2,560
Step-by-step explanation:
necesitas sumar 4 veces 640 o multiplicar 4×640
Which of the following is a qualitative observation?
Question 7 options:
This leaf has grown 3 cm this week.
This leaf is 30 cm long.
This leaf has 8 curved edges.
This leaf is light green in color.
Answer:
so i think answer of this quiestion is option D
There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.
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Answer:
P = 4z +5
Step-by-step explanation:
The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:
P = z +(z +5) +2z
P = 4z +5
