Answer:
Your answer is 6.
Step-by-step explanation:
If this is correct can i get branilest? Hope this helps :)
If the logarithm of 5832 is 6, what is the base?
[tex] logx(5832) = 6[/tex]
Answer:
The base is 4.2426.
Step-by-step explanation:
Logarithm definition:
Suppose we have that:
[tex]\log_{a}{b} = c[/tex]
It means that;
[tex]b = a^c[/tex]
In this question:
[tex]\log_{x}{(5832)} = 6[/tex]
It means that:
[tex]x^6 = 5832[/tex]
[tex]x = \sqrt[6]{5832}[/tex]
[tex]x = (5832)^{\frac{1}{6}}[/tex]
[tex]x = 4.2626[/tex]
The base is 4.2426.
Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2 - 3(x+ 4) = 3(3 - x) cannot be determined one solution Ono solution infinitely many solutions.
Answer:
no solution
Step-by-step explanation:
The given equation is :
2 - 3(x+ 4) = 3(3 - x)
We need to solve the equation. It can be done as follows :
2-3x-12 = 9-3x
As -3x gets canceled from both sides. It means the given equation has no solution.
Emily and her twin sister Erica were each given $500 for their birthday. Emily deposits her money in an account that pays 4.75% interest compounded annually. Erica deposits her money in a 5% simple annual interest account. After 10 years how much more money will Emily have in her account?
A $22.41
B $45.26
C $250.00
D $295.26
Answer:
B $45.26
Step-by-step explanation:
After 10 years
Emily will have 500 * 1.045^10 = $795.26
Erica will have 500 + 10*0.05*500 = 500 * 1.5 = 750$
Emily will have $45.26 more.
Solve for x and show work please!
Answer:
Every quadrilateral's 4 angles add up to 360 degrees.
The four angles would be 100° + 7x +37 + 100° + 7x +37 = 360°
200° + 14x + 74° = 360°
14x = 360° - 274
14x = 86
x = 6.1428571429
Step-by-step explanation:
Answer: x=43/7
Step-by-step explanation:
One of the properties of the inner angle of a parallelogram is that the two angles on the same side add up to 180°
100+(7x+37)=180
100+7x+37=180
137+7x=180
137+7x-137=180-137
7x=43
x=43/7≈6.14
Hope this helps!! :)
Please let me know if you have any questions
A plane traveling 480 miles in 1 hour travels how far in 15 minutes
Answer:
120 Miles
Step-by-step explanation:
Which is the function g(x) for a restricted domain?
O g(x) = 3x-4; 2-4
O g(x) = 3x + 4; x > 0
O g(x) = 3/x+4; x 24
O g(x) = 35-4;> 0
The answer choice which correctly describe s the function g (x) for a restricted domain as required to be determined in the task content is; g (x) = ³√(x + 4) , x ≥ -4.
Which function correctly represents the function g (x) for a restricted domain?As evident in the task content, the function which correctly represents the function g (x) for a restricted domain is to be identified.
By observation of the function;
g (x) = ³√(x + 4) , x ≥ -4.
As evident in the task content; the lowest value of g(x) is; 0.
By checking; when x = -4; the corresponding value of g (x) is;
g (-4) = ³√(-4 + 4)
g (-4) = 0.
On this note, the required function is; g (x) = ³√(x + 4) , x ≥ -4.
Read more on functions and domain;
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7 1/2 divided by 3/4
Answer:
2 2/3
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
First convert to mixed fractions 7 1/2-> 15/2
Then multiply by the reciprocal---> 15/2 x 4/3
The answer is 60/6
Then simplify---> 10/1 or 10
what is the measure of m?
6
24
m
n
Answer:
m=√180
Step-by-step explanation:
n² = 6×24
n² = 144
m² = n² + 6²
m² = 144 + 36
m² = 180
m =√180
Use the Trig Ratios to find the Missing Side Length
Answer:
[tex] \tan(55) = \frac{x}{8} \\ x = \tan(55) \times 8[/tex]
34 in.
16 in.
22 in.
Lateral Surface Area =
in squared
Total Surface Area =
in squared
Volume =
in cubed
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = [tex]\sqrt{1156-256}[/tex]
= [tex]\sqrt{900}[/tex]
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(30)(16)[/tex]
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Which graph shows a dilation?
Answer:
Step-by-step explanation:
Sorry but im struggling with this too :(
Which numbers could be a solution to the inequality? -6 < 3x+ 9 <21
Step-by-step explanation:
-6-9<3x<21-9
-15<3x<12
1) -15<3x
-5<x
2) 3x<12
x<4
so the range of the solution is -5<x<4
A manufacturer of band saws wants to estimate the average repair cost per month for the saws he has sold to certain industries. He cannot obtain a repair cost for each saw, but he can obtain the total amount spent for saw repairs and the number of saws owned by each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n = 20 from the N = 96 industries he services. The data on total cost of repairs per industry and number of saws per industry are as given in the accompanying table. Estimate the average repair cost per saw for the past month and place a bound on the error of estimation.
Industry No.of saws Total repair cost for past month
1 3 50
2 7 110
3 11 230
4 9 140
5 2 60
6 12 280
7 14 240
8 3 45
9 5 60
10 9 230
11 8 140
12 6 130
13 3 70
14 2 50
15 1 10
16 4 60
17 12 280
18 6 150
19 5 110
20 8 120
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
The radius of a cylindrical water tank is 4 ft, and its height is 10 ft. What is the volume of the tank?
Answer:
502 cubic feet
Step-by-step explanation:
The Volume of the tank is 502 cubic feet.
There are 17 girls and 23 boys in P.E class.Of these students,10 girls and 14 boys will try out for basketball.What percentage of the stidents will try out for basketball?
Answer:
[tex]60%[/tex]%
Step-by-step explanation:
[tex]17+23=40[/tex][tex], 40[/tex] in total.
[tex]10+14=24[/tex], 24 students trying out.
24 of 40 as a percent[tex]=60[/tex]
Answer:
60%
Step-by-step explanation:
According to formula if finding percent, given number(10+14)divide by total number(17+23) multiply 100% which is 24/40*100= 60%
5x≥25 help th bewbsanks
A small bar of gold measures 20 mm by 250 mm by 2 mm. One cubic millimeter of gold weighs about
0.0005 ounces. Find the volume in cubic millimeters and the welght in ounces of this small bar of gold.
cubic millimeters and the weight of the bar is
The volume of the bar is
ounce(s).
Answer: 5 ounces
Step-by-step explanation:
volume is 20*250*2=10000 cubic mm
10,000*0.0005=5
Which of the following could be the areas of the three squares below?
Answer:
A. 12 ft², 16 ft², and 20 ft²
Step-by-step explanation:
Do think it is A, B, C, D?
Answer:
D
Step-by-step explanation:
the 80*10=800
8 in 183= 80
8 in 4879 = 800
the area of a rectangle with a height of 2 and a width of 5x^2-2x+3
Answer:
Area is 10x^2 - 4x + 6
Step-by-step explanation:
To find this area, multiply the width and height together:
(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6
Help! Will Give Brainliest!!!!
Answer:
The answer is C or B i dont really know
Step-by-step explanation:
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? *
Answer:
603.35%
Step-by-step explanation:
Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, to determine what is the percentage in mark up, the following calculation must be performed:
1.49 = 100
8.99 = X
8.99 x 100 / 1.49 = X
899 / 1.49 = X
603.35 = X
Thus, the mark up percentage of the book is 603.35%, which implies an increase of more than 6 times its initial value.
can i get help on this?
5/6 x 2 2/5 solve using distributive property to find the problem
Answer:
2
Step-by-step explanation:
Answer:
5/6 x 2 2/5 = 2
Step-by-step explanation:
https://www.fractioncalc.com/
This calculator link will help you with fraction equations
:))
28÷x=168
What is the value of "x"
please answer asap! no scam links or scam comments or reported.
Answer:
(-10,0)
Step-by-step explanation:
y = 3/2 x + 15
To find the x intercept let y =0 and solve for x
0 = 3/2x +15
Subtract 15 from each side
-15 = 3/2x -15+15
-15 = 3/2x
Multiply each side by 2/3
2/3 *-15 = 2/3 * 3/2x
-10 =x
The x intercept is
(-10,0)
Answer: (-10,0)
Step-by-step explanation:
g(r) = (r + 14)? – 49
1) What are the zeros of the function?
Write the smaller r first, and the larger T second.
Answer:
smaller r =-21
larger r =-7
The vertex of the parabola is at
(-14,-49)
complete the table below to show the differences bettween algebraic expression and equation
Complete the table below to show the differences between algebraic
expression and equation.
Describe each to show their differences.
Give 3 examples of each.
Answer:
Explained below with examples
Step-by-step explanation:
1. Algebraic expression in mathematics are basically expressions that are formed from variables, integer constants, and also algebraic operations.
Examples include;
>> 2x² − xy
>> 3ab + 2b²
>> x² + y²
2. An algebraic equation is a phrase where the two sides of the equation which are the left and right hand sides are connected by the equal to sign (=).
Examples are;
>> 3y - y² = 2y² + 2
>> 3x - 4y = x + 2
>> 5a + 3b = 2b - 1
does anyone else play woozworld? if so, add me SummerRae0
x2 + 16x – 2 = 11
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x - c)2 = d.
I
+
utan
pls help
Answer:
(x+8)^2=77 and x=negative 8±√77
Step-by-step explanation:
After watching a video, I got it right on Khan
The equation with completing the squares is (x + 8)² = 77.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 16x - 2 = 11
We can make complete squares.
x² + 16x - 2 - 11 = 0
x² + 16x - 13 = 0
x² + 2 x 8 x (x) -8² + 8² - 13 = 0
(x² + 16x + 8²) - 64 - 13 = 0
(x + 8)² - 77 = 0
(x + 8)² = 77
Thus,
The equation is (x + 8)² = 77.
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