Answer:
125
Step-by-step explanation:
a⅔=25
2/3root each you get root 2/3of 25
In circle O, CD = 30, OM = 8, ON = 9, CD I OM, ERION (The figure is not drawn to scale.)
POS
D
a. Find the radius. If your answer is not an integer express it in radical form.
b. Find FN. If your answer is not an integer, express it in radical form,
C. Find EF. Express it in radical form
PLEASE HELP!!
Answer:
Step-by-step explanation:
MC = MD = 1/2CD and EN = FN = 1/2EF
OC = √OM² + MC²
= √64 + 225
= √289
= 17 (a)
FN = √OP² - ON²
= √289 - 64
= √225
= 15 (b)
EF = 2 x FN
= 2 x 15
= 30 (c)
How much should you invest in a continuously compounded account at an annual interest rate of 6% if you want exactly $8000 after four years? (Round to the nearest cent)
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$8000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &4 \end{cases} \\\\\\ 8000=Pe^{0.06\cdot 4}\implies 8000=Pe^{0.24}\implies \cfrac{8000}{e^{0.24}}=P\implies 6293.02\approx P[/tex]
What is the ratio of the length of DĚ to the length of BC?
Answer: 1.4
Step-by-step explanation:
Solve 37+z≤54. Graph the solution.
Answer:
z ≤ 17
Step-by-step explanation:
Step 1: Subtract 37 from both sides.
[tex]37 + z - 37\leq 54-37[/tex] [tex]z\leq 17[/tex]Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The expression above can also be written in the form Val
For this expression, a
and c
[tex]\\ \rm\Rrightarrow 7^{\frac{9}{4}}[/tex]
[tex]\\ \rm\Rrightarrow 7^{9\times \frac{1}{4}}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[4]{7^9}[/tex]
Done!
3. Megan is having a meal with her friends.
She is going to choose one starter, one main and one dessert.
This is the menu.
Starter Main Dessert
Soup
£2.50 Chicken
£6,25 Trifle
£3.50
Prawns
£4.25 Beef
£8.00 Brownie
£4.00
Melon
£3.50 Pork
£7.50 Eton Mess £4.50
Megan has £15
List all the possible combinations that Megan can afford.
SCT,SCB,SCE,SBT, SBBR, SBE,SPT,SPB,SPE
PCT,PCB,PCE,PBT,PBBR, PBE, PPO,T,PPOB,PPOE
MCT,MCB,MCE,MBT,MBBR,MBE,MPT,MPB,MPE
THIS is in abrieviations.
a box contains 576 marbles of six different colors if there are 254 boxes how many marbles are in all the boxes
Will give Brainliest
Beth is working in the concession stand during a football game. Each hot dog sells for $6 and a soda is $4. At the end of the first half, Elizabeth sold 46 items, and made $118. How many hot dogs and sodas did she sell?
Write your answer in a complete sentence.
Use systems of equations to find your answer.
Both equations are correct - 4 points
Math to get answer is all shown and is correct - 4 points
Sentence answer - 2 points
Answer:
Straightforward: 70 + 48 or 72 + 46
With other ways: below ↓
Make a ratio and increase.
6:4
Find the least common multiples.
72:48
Next, take these 2 out of ratio form and add them together.
72
+48
120
Since the closest we get is 120...
We must change the LCM'S to get the true number. Either way, it will work if you reduce 48 by 2, or 72 by 2. Same answer.
[tex]120-2=118dollars\\72 - 2\\48 - 2[/tex]
Therefore,
Our problem answer can be seen as the original ratio, but modified, 72:48 or simply 70 + 48. For the ratio to be correct, you would have to factorize the least common multiples and re-add. I would not recommend this.
Solve 5^3x = 1400. Round to the nearest hundredth.
(PLEASE don't delete this. I really need help with this.)
Answer:
11.20
Step-by-step explanation:
I did this by first doing 5 x 5 x 5 which got me 125. Then I took 1400/125 to get 11.2. However you said round to the nearest hundredth which would be 11.20
Consider the function. Which conclusions can be drawn about f–1(x)? Select two options. F–1(x) has a slope of. F–1(x) has a restricted domain. F–1(x) has a y-intercept of (0, –36). F–1(x) has an x-intercept of (–36, 0). F–1(x) has a range of all real numbers.
The required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
Given function
y=f(x) = [tex]-\frac{2}{3} x -24[/tex]
What is an inverse function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function that gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
In order to get inverse function [tex]f^-1x[/tex] let us arrange the given function
[tex]y+24 = -\frac{2}{3} x[/tex]
[tex]x = -\frac{3}{2} y-36[/tex]
Now, replace x with y and vice versa.
[tex]y = -\frac{3}{2} x -36[/tex]........(1)
or, [tex]f^-1x = -\frac{3}{2} x -36[/tex]
(1) will be the inverse function of the given function.
For x-intercept put y = 0 and for y-intercept put x=0 in eq(1)
x-intercept = -24
y-intercept = -36
The domain and range of f⁻¹x = set of all real numbers since f⁻¹x is a straight line equation, domain, and range of which is set of all real numbers.
Therefore, the required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
To get more about inverse function visit:
https://brainly.com/question/16975845
Answer:
d and e
Step-by-step explanation:
did the test
What’s the midpoint of a line segment joining the points (5,-4) and(-13,12)?
Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
((x1 + x2)/2 , (y1 + y2)/2)
((5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
12 car washes for $100 or 5 car washes for $45, state how much you will save per item
Answer:
$6
Step-by-step explanation:
you will save 6 dollars per item
The length of the base of an isosceles triangle is x. The length of a leg is 5x - 7. The perimeter of the triangle is 151. Find X.
Answer:
137/11 or approx. 12.45
Step-by-step explanation:
Peter can mow his lawn in 6 minutes. Peter's son can mow it in 8 minutes. How long will it take them to do it together?
Answer:
3 minutes 26 seconds
Step-by-step explanation:
rate x time in Distance problems, and W = rate x time in work problems. The Work is generally 1, the whole job.
For Peter the formula is 1 (lawn mowed) = 1/6 lawn per minute x 6 minutes.
For the son the formula is 1 = 1/8 * 8.
Add their rates together, 1/8 + 1/6 = 3/24 + 4/24 = 7/24.
The equation for their rate working together is 1 = 7/24 * t
Divide both sides by 7/24 to find t. t = 1 / 7/24 = 1 * 24/7 = 24/7 = 3 and 3/7 minutes = approx. 3 minutes 26 seconds.
use rhombus DEFG if GE=42 and DH=16 find GF
The value of GF in the rhombus is 26.4
Properties of a rhombus:All the sides are equalOpposite angles are equaladjacent angles are supplementaryDiagonals are perpendicular bisector of each otherTherefore,
DH = HF = 16
GH = HE = 21
Using Pythagoras theorem we can find GF as follows:
GF = √21² + 16²GF = √441 + 256
GF = √697
GF = 26.4007575649
GF = 26.4
learn more on rhombus here: https://brainly.com/question/26665674
(30pts) I am requesing help on this Algebra Question.
Answer:
I believe your answer is C
Step-by-step explanation:
Answer: the third one ong
help!!! meee ASAPPP 18 + brainlest
Answer:
Angle CFD = 30°
Step-by-step explanation:
HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME
Please help if you can. Thanks!
Answer:
85 Square Units
Step-by-step explanation:
We need to start by finding the area of the triangle:
(base*height)/2
[tex]\frac{17*10}{2} =85[/tex]
Then we find the area of the rectangle:
Height*Width= 170
Then we finally take the area of the rectangle (170) and subtract the area of the triangle (85) and we get the answer of 85.
It’s graphs just help
Answer:
The answer is D
Step-by-step explanation:
There you go!!
If f(x) = x/2 -3 and g(x) = 4x² + x - 4, find (f+ g)(x).
O A. 4x2 + 5x-1
-X
3
O B. 4x2 + x-1
O c. 6x²_7
O. ?
D. 42 + 3x - 7
Answer:
correct answer is : D. 42 + 3x - 7
the product of 982.311 and 2.43
Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion Please select the best answer from the choices provided A B C D.
The owner expects that you hand wash each coffee pot before the
coffee shop opens. You spend 72 minutes cleaning the coffee pots.
It takes you 4 1⁄2 minutes to clean a coffee pot. How many coffee
pots are there?
Step-by-step explanation:
it's simply going to be total time divided by the time to was one pot
What is the area of the rectangle 150 yards 200 yards
Answer:
30,000 square yards
Step-by-step explanation:
Here is a square of side 2a and an equilateral triangle of side a + 1
The perimeter of the square is greater than the perimeter of the triangle.
Work out the range of possible values of a.
Answer: a>0.6
Step-by-step explanation:
-3.5 divided by 1.25
Answer:
-2.8
Step-by-step explanation:
[tex] \frac{ - 3.5}{1.25} = - 2.8[/tex]
help me figure it out
Write a function rule for the table.
When you measure an angle you usually have to choose between two numbers because
protractors are designed to measure angles that start on either the right or left side.
There are two angles to measure in each of the problems on this sheet and the next. The
angle on the left side is angle A. The angle on the right side is angle B. Find and record
the measure of both angles in each problem.
1 The measure of angle A is ___
degrees.
2 The measure of angle B is ___ degrees.
Answer:
B= 25°
A=138° /139°
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substitute this equation
-1x-3y=4
2x=16
Answer:
x= 8 y= -4
Step-by-step explanation:2x=16 divide 2 on both, x=8, plug in 8 for x, -1x8-3y=4 will become = -8-3y=4 add 8 on both sides and divide by -3 the answer will be -4
Answer:
Step-by-step explanation:-
-1x - 3y = 4 (eqn 1)
2x = 16 (eqn 2)
from eqn 2
2x = 16
x = 16/2
x = 8
Substitute x = 8 into eqn 1
-1(8) - 3y = 4
-8 - 3y = 4
-3y = 4 + 8
-3y = 12
y = 12/-3
y = -4
therefore, x = 8 and y = -4