Answers
Answer:
- 2.18
Step-by-step explanation:
550 × [tex]3^{x}[/tex] = 50
[tex]3^{x}[/tex] = [tex]\frac{1}{11}[/tex]
[tex]log_{3}[/tex] [tex]\frac{1}{11}[/tex] = x
x = [tex]log_{3}[/tex] 1 - [tex]log_{3}[/tex] 11
[tex]log_{3}[/tex] 1 = 0
[tex]log_{3}[/tex] 11 = 2.1826583386
x ≈ - 2.18
Related Questions
On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5). Which statement proves that quadrilateral JKLM is a kite?
Answers
Answer:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
Step-by-step explanation:
Given
[tex]J = (4,5)[/tex]
[tex]K = (5,1)[/tex]
[tex]L = (1,2)[/tex]
[tex]M = (1,5)[/tex]
Required
Prove it's a kite
Start by calculating the length of the sides of the kite using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}[/tex]
[tex]JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}[/tex]
[tex]KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3[/tex]
[tex]MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3[/tex]
Hence:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
proves that it is a kite
Answer:
B) LM = JM = 3 and JK = LK = [tex]\sqrt{17}[/tex]
Step-by-step explanation:
Edge 2021
Good Luck :)
Carmen bought 15 pounds of sugar for $9.
How many pounds of sugar did she get per dollar?
(round to the nearest hundredth)
Answers
If PR = 5x – 3 and QS = 3x – 5 and QS == PR, what are the length of the
diagonals?
Answers
Answer:
Step-by-step explanation:
5x - 3 = 2(3x - 5)
5x - 3 = 6x - 10
6x - 5x = 10 - 3
x = 7
QS = 3(7) - 5 = 16 units
PR = 5 × 7 - 3 = 32 units
Gary's supply box contains 5 pencils, 6 pens, 3 glue sticks and 1 marker.
Gary reaches into the box and randomly selects 1 item. He replaces it and
the randomly selects another item. What is the probability that Gary
selects a glue stick both times? *
01/25
1/30
O 1/18
O 3/4
Plz help me
Answers
Answer:
1/25
Step-by-step explanation:
You have to add all of the supplies.
5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies
Put 3 over 15, since fractions are part over whole.
Now you have to simplify 3/15, which is 1/5.
Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.
HELP ASAPP!!!! PLZZZ
Answers
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Answers
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
Find the area of the shaded polygons
PLS HELP ASAP!!
Answers
Answer:
4.5
Step-by-step explanation:
I do RSM
2020-2021-T-Math-Gr05-T10
Question: 1-5
Lia cut a long piece of string into 2 pieces. one piece of the string is 24 inches long, and the other place of the string is 12 inches long How many feet long was the piece of string before a cut it?
Answers
Answer:
36 inches.
Step-by-step explanation:
If one piece of string is 12 inches
and the second piece = 24 inches
Then the total is 12 + 24 = 36 inches.
Someone help plsss im newww tysm if you do!
Answers
Answer:
-36/6 is equal to -6
The first step is to divide -36/6 by the denominator, 6.
-36/6 ÷ 6 = -6/1 or -6
You deposit $5000 in an account earning 7.5% simple interest per year. How long will it take for the balance of the account to be $6500?
Answers
Answer:
4 years
Step-by-step explanation:
Given data
Principal P=$5000
Rate r= 7.5%
Final amount A=$6500
The expression for the simple interest is
A=P(1+rt)
Substitute
6500=5000(1+0.075*t)
6500=5000+375t
6500-5000=375t
1500=375t
t= 1500/375
t= 4 years
Hence, the time is 4 years
Set up the proportion and find AB. Show all work and box your answer
Find the length of the marsh, AB
HELP PLZZZZ!!!
Answers
Answer:
x = 129
Step-by-step explanation:
86/48 = x/72
6192 = 48x
x = 129
Identify the range of the function shown in the graph.
Answers
Answer:
-3 < x < 3
Step-by-step explanation:
$834 at 7.25% for 1 1/2years
Answers
Result:
The principal was $500.
Explanation:
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months into years.
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answers
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
pls hurry will give brainlyest or whatever !!!
If x = 10 and y = 3 Evaluate this expression: x + xy -2(x-y)
20
30
42
36
26
Answers
Answer:
26
Step-by-step explanation:
10+(10x3)-2(10-3)=
10+30+-2(7)=
40-14=
26
Chris spent half his money on a pair of headphones. Then spent half of his remaining money on CDs. Finally, he spent his remaining $12.00 on a book. How much money did Chris have to begin with
Answers
Answer:50.50
Step-by-step explanation:
please help me out!! 20 points :))
Answers
Answer:
x =18 , z =77
Step-by-step explanation:
Vertically Opposite Angles,
[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]
Since angle x and angle 7x-23 lies on the same straight line,
[tex]z + 7x - 23 = 180[/tex]
Substitute x = 18 into the equation,
[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]
I'm begging you. Please help me. Its 12:23 at night and these are the last problems. I am BEGGING you. PLEASE don't steal these points, or put in a fake link.
Answers
What is the final amount of 777 is decreased by 12% followed by a 4% increase? Give your answer rounded to 2dp.
Answers
Answer:
711.11
Step-by-step explanation:
Method 1If 777 is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally
0.88 x 777 = 683.76
683.76 is increased by 4%. 683.76 would now be (100 + 4%) 104% of what it originally was
683.76 x 1.04 = 711.11
Method 212% x 777 =
0.12 x 777 = 93.24
777 - 93.24 = 683.76
4% x 683.76 = 27.3504
683.76 + 27.3504 = 711.11
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
Answers
A furniture store sell kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation: 6(x + 18) 192. What does the variable represent in Jarred's equation? * O The number of screws in one kit O The number of screws in all 6 kits O The number of boards in one kit? The number of boards in all 6 kits?
Answers
the number of boards in all 6 kits
✔✔
plzzz help me i could really use it!!!!
Answers
Step-by-step explanation:
here's your solution
=> (x^2 - 7) (x^2 - 4)
=> x^2(x^2 - 4) - 7(x^2 - 4)
=> x^4 - 4x^2 - 7x^2 + 28
=> x^4 - 11x^2 + 28
hope it helps
Plz help!!!!!!!!!!!!!!!!
Answers
Answer:
b) 95
Step-by-step explanation:
equation:
3 x 30 + 5
solve:
3 x 30 + 5 = 95
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh?
A 0.003 kilograms0.003 kilograms
B 64.468 kilograms64.468 kilograms
C 312.77 kilograms 312.77 kilograms
D 644.68 kilograms
Answers
Answer:
C 312.77 kilograms 312.77 kilograms
Step-by-step explanation:
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
Answers
8 dogs so 5*8= 40
so it's D
help!
asap!
50 pts and brainliest!
tyy
Answers
Answer:
B
Step-by-step explanation:
What is the radius of a 0.8cm circle
Answers
An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)
Answers
Answer:
45°
Step-by-step explanation:
90 + 2(45) = 180
90 + 2(25) ≠ 180
90 + 2(80) ≠ 180
90 + 2(90) ≠ 180
Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
Answers
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
Megan has $500 in her savings account. The interest rate is 7%, which is not
compounded. How much money(in dollars) will she have in her account after 5
years? Write the correct answer.
Answers
Answer:
500/7=intrest rate/account savings=_________
Step-by-step explanation: