9514 1404 393
Answer:
138.77
Step-by-step explanation:
Your scientific or graphing calculator will have exponential functions for bases 10 and e. On the calculator shown in the first attachment, they are shifted (2nd) functions on the log and ln keys. Consult your calculator manual for the use of these functions.
The value can be found using Desmos, the Go.ogle calculator, or any spreadsheet by typing 10^2.1423 as input. (In a spreadsheet, that will need to be =10^2.1423.) The result using the Go.ogle calculator is shown in the second attachment.
You can also use the y^x key or the ^ key (shown to the left of the log key in the first attachment). Again, you would calculate 10^2.1423.
__
We have assumed your log is to the base 10. If it is base e (a natural logarithm), then you use the e^x key instead. Desmos, and most spreadsheets, will make use of the EXP( ) function for the purpose of computing e^( ). You can type e^2.1423 into the Go.ogle calculator.
_____
Additional comment
There are also printed logarithm tables available that you can use to look up the number whose log is 0.1423. You may have to do some interpolation of table values. You should get a value of 1.3877 as the antilog. The characteristic of 2 tells you this value is multiplied by 10^2 = 100 to get the final antilog value.
The logarithm 2.1423 has a "characteristic" (integer part) of 2, and a "mantissa" (fractional part) of 0.1423.
12X12= ___+144-88=___
What is the surface area of a sphere with a diameter of 14 cm?
Question 6 options:
175.84 cm^2
351.68 cm^2
615.44 cm^2
2461.76 cm^2
Show your work:
9514 1404 393
Answer:
(c) 615.44 cm^2
Step-by-step explanation:
The surface area of a sphere is given by ...
A = 4πr² . . . . where r is the radius, half the diameter
A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²
A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee blend that normally sells for $13.50 per pound to create 40 pounds of a coffee that can sell for $10.37 per pound. How many pounds of each kind of coffee should they mix
Answer:
Rift =37.92 pounds
Terraza=2.08 pounds
9514 1404 393
Answer:
Rift Valley: 37 31/33 ≈ 37.94 lbTerraza: 2 2/33 ≈ 2.06 lbStep-by-step explanation:
Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...
13.50t +10.20(40 -t) = 10.37(40)
3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408
t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza
Then the quantity of Rift Valley blend required is ...
40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley
Help please!! Plots of land between two roads are laid out according to the boundaries shown. The boundaries between the two roads are parallel. What is the length of Plot 3 along Cheshire Road?
Answer: Choice D
53 and 1/3 yards
=======================================================
Work Shown:
40/48 = x/64
5/6 = x/64
5*64 = 6*x
320 = 6x
6x = 320
x = 320/6
x = 53.33333...
x = 53 + 0.3333...
x = 53 + 1/3
x = 53 and 1/3, answer is choice D
------------
Explanation:
Basically because the quadrilaterals are similar, this means the sides are proportional to one another. This allows us to set up the equation at the very top. In step 3, I cross multiplied. Then later on, I divided both sides by 6.
Keep in mind that the similar figures are because of the parallel lines. If the lines weren't parallel, then the figures may not be similar.
Answer:
46 [tex]\frac{2}{3}[/tex] (For those with the Shelby Road Plot 3 Measurement that says 56 yards.)
Step-by-step explanation:
[tex]\frac{40}{48} = \frac{x}{56} \\\\48x = 2240\\\\x = 46.6667 \\or 46\frac{2}{3}[/tex]
What is the surface area of the cylinder? Express the answer in terms of pi
d = 8 cm
h = 18 cm
Find the measure of FG.
Answer:
Choice D, x = 9
Answer:
Step-by-step explanation:
EG = EF + FG = 9 + x - 3 = 6 + x
AG = AH + HG = 6 +x - 2 = 4 + x
Intersecting secant theorem,
FG * EG = HG * AG
(x - 3)*(6 +x) = (x -2)(x + 4)
Use Foil method
6x + x² - 18 - 3x = x² + 4x - 2x - 8
x² + 3x - 18 = x² + 2x - 8
x² - x² + 3x - 2x = -8 + 18
x = 10
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.
[ x + y = 90 ; x = 14 + 3y ]
Answer:
fourteen times six equals eighty-four, eighty-four plus six equals 90
What is the value of x in the triangle below?
A. 18
B. 15
C. 6
D. 45
Answer:
it is b I already took it I just checked again
When do we use the AC Test?
Instructions: Find the measure of the indicated angle to the nearest degree.
?
Answer:
? = 14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 8/33
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 ( 8/33)
? =13.62699
To the nearest degree
? = 14
Answer:
14
Step-by-step explanation:
We can solve for either x or y first, but we will choose to solve for x first. The side with length of 8 is opposite the angle x and the side with length of 33 is adjacent. Since we have opposite and adjacent sides, we will use the tangent ratio.
tan(x)= opposite/adjacent
tan(x)= 8/33
To find the measure of angle x, we will use the inverse tan function.
x=tan⁻¹(8/33)= 14
PLEASE HELP WILL GIVE BRAINSLIST
Answer: 3. 55° 2. 225° 1. 125°
Step-by-step explanation: don't want brainliest
write a inequality phrase: you have to be at least 21 years of age
Answer:
[tex]a\geq 21[/tex]
Step-by-step explanation:
"At least" is inclusive, so you can be 21 years old.
Answer:
a≥ 21
Step-by-step explanation:
Let a = age
At least means greater than or equal to
a≥ 21
Select all that apply.
The slope of the graph of a direct variation function is -3. Which of the following is true?
The equation is y = -3x.
The function is linear.
The equation of the function is y = -x .
The point (2, -6) is on the graph of the function.
a and b are correct
c is wrong
d can't be decided, because it can be true for one case, but not for others.
so only go for a and b
Answer:
B. The function is linear. (A and D COULD work)
Step-by-step explanation:
If the graph of a direct variation function has a slope of -3, then we know that the function is linear, and that m in the equation y = mx + b is -3. However, option A could be incorrect since we don't know if there is a y-intercept or not. C is wrong because of -3 being the slope, and D would only be true if A was also correct. So that leaves B. (If you know that there is more than one option, then A, B, and D are correct.)
A library has 160 books. 3/8 are story books, 1/4 are poetry books and the remainder are books. What fraction is comic books?
Answer:
1/8
Step-by-step explanation:
1/4*2/2=4/8
4/8+3/8=7/8
1-7/8=1/8
solve
[tex]100 {5}^{2} - 500 {5}^{6} [/tex]
Please help before 9:00 pm
On a piece of paper, graph y< - 1/2 x + 1
Answer:
Image below
Step-by-step explanation:
Make sure you draw it with a dotted line.
my jee main total marks is 70 so how much percentile will i get
Total marks in JEE = 400
Your marks = 70
Let your percent be x.
Then,
(x/100) × 400 = 70
=> x/100 = (70/400)
=> x/100 = 0.175
=> x = 0.175 × 100
=> x = 17.5
So, you got 17.5% marks.
can someone help me pls
Answer: No solution
Step-by-step explanation:
First, rearrange the second function:
[tex]3x - y = 2 \\-y=-3x+2\\y=3x-2[/tex]
Because the two equations share the same slope of 3, they're parallel lines, that means they don't ever intercept. Therefore, there are no solutions.
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4,8)
(0,0)
. 10
10
The answer is y= -2x.
The equation of the line passing through points (0, 0) and (-4, 8) is y = -2x
What is an equation of line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given is a graph of a line passing through points (0, 0) and (-4, 8), we need to find the equation of the line,
We know that, the equation of a line passing through two points is given by,
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (-4, 8)
So, the equation of the line =
y-0 = 8/(-4) (x-0)
y = -2x
Hence, the equation of the line passing through points (0, 0) and (-4, 8) is y = -2x
Learn more about equation of line, click;
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Urgent i need help!!…….
Answer:
Step-by-step explanation:
These are similar triangles. We know that because we know that all right triangles are similar. The height of the red one is 8 and the height of the blue one is 4; that means that the red one is twice the size of the blue one; likewise, the blue one is half the size of the red one. That means that ALL the measurements of these triangles exist in that ratio...even the base of the blue one. If the base of the red one is 3, and the red one is twice the size of the blue one, then the base of the blue one is 3/2 or 1.5. I can't see your choices because they are too small.
what is the quotient
Answer:
The quotient is 4x+5 and the remainder is -13
Step-by-step explanation:
Using synthetic division
-5 4 25 12
Bringing down the 4 and multiplying
-5 4 25 12
↓ -20 -25
----------------------
4 5 -13
The quotient is 4x+5 and the remainder is -13
Answer:
4x +5 [tex]\frac{-13}{x+5}[/tex]
Step-by-step explanation:
. 4x +5 [tex]\frac{-13}{x+5}[/tex]
x + 5 | 4x^2 + 25x + 12
- 4x^2 + 20x
5x + 12
5x + 25
-13
Keith used the following steps to find the inverse of f, but he thinks he made a error
f(x) = 7x + 5
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} f(x) \ \ inverse \ \ function \ \ (f(x))^{-1} \\\\ y=7x+5 \\\\x=7y+5 \\\\ y=\dfrac{x-5}{7} \ \ or \ \ f(x)^{-1}= \dfrac{x-5}{7}[/tex]
What is the product?
(-2d^2+s)(5d^2-6s)
Answer:
Option 1: -10d⁴ + 17d²s - 6s²
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
(-2d² + s)(5d² - 6s)
Step 2: Expand
FOIL: -10d⁴ + 12d²s + 5d²s - 6s²Combine like terms: -10d⁴ + 17d²s - 6s²Which number produces a rational number when added to 0.25?
The step of adding it to 0.25 (or 25/100, or 1/4) is indeed not relevant. 0.25 is rational.
A rational number added to a rational number gives a rational number. A rational added to an irrational number doesn't.
so effectively the task can be reduced to "wich one of these is a rational number?"
And that's only true for A. 2/9
All others can't be represented as a discrete/finite fraction / ratio.
The sum of two rational numbers is a rational number thus option (A) is correct.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
The sum of two rational numbers gives the rational number.
Since 2/9 is written in p/q where 2 and 9 both are integers thus it will be rational.
So, 2/9 + 0.25 = 2/9 + 1/4
(8 + 9)/36 = 17/36 here 17 and 36 both are integers thus it will be rational.
Hence "A rational number is the result of two rational numbers".
For more about the irrational number,
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Calculate.
12C4
Please help!
Answer:
495
Step-by-step explanation:
[tex] {12 \: }^{c} \: 4 = \frac{12!}{4!(12 - 4)!} \\ = \frac{12!}{4! \times 8!} \\ = \frac{12 \times 11 \times 10 \times 9 \times 8!}{4! \times 8!} [/tex]
canceling 8! from both numerator and denominator.
[tex] \frac{12 \times 11 \times 10 \times 9}{4 \times 3 \times 2 \times 1} \\ = 11 \times 9 \times 5\\ = 495[/tex]
Factorial of an integer, in mathematics, is the product of all positive integers less than or equal to the given positive integer.
Factorial of a number is denoted by placing an exclamation mark behind the number
[tex]\quad\quad\quad\quad \net\net \net\netu\internetu\y\menyaa \la\la\la\la\\\\\\\\\\\\\dddddddddd\\\FFFFFFFF\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\displaystyle\ \Large \boldsymbol{} _{12}C_4=\frac{12!}{4!(12-4)!} =\frac{12!}{4!\cdot8!} =\frac{12\cdot11\cdot10\cdot9\cdot8!\!\!\!\!\!\diagup}{4!\cdot8! \!\!\!\!\!\diagup} = \\\\\\\frac{12\!\!\!\!\!\diagup\cdot11\cdot10\cdot9}{24\!\!\!\!\!\diagup_{\ \ 2}}= \frac{11\cdot10\cdot9}{2} =\boxed{495}[/tex]
*Please Help!*
What is the volume of water, to the nearest tenth of a cubic metre, that would fill this spa tub?
First cylinder= 0.75m diameter, 0.80m height
Cylinder Underneath= 1.25m diameter, 0.70m height
Semi Sphere that holds both cylinders= 3m long
Answer:
The volume of water that will fill the spa tub is 5.9 cubic meters.
Step-by-step explanation:
Volume of water that would fill the spa tub = volume of semi sphere - (volume of the first cylinder + volume of the second cylinder)
i. volume of first cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h is the height of the cylinder.
r = [tex]\frac{0.75}{2}[/tex] = [tex]\frac{3}{8}[/tex]
= 0.375 m
h = 0.80 m
volume of the first cylinder = [tex]\frac{22}{7}[/tex] x [tex](\frac{3}{8} )^{2}[/tex] x 0.8
= 0.3536 cubic meters
ii. volume of the cylinder underneath = [tex]\pi[/tex][tex]r^{2}[/tex]h
r = [tex]\frac{1.25}{2}[/tex] = [tex]\frac{5}{8}[/tex]
= 0.625
h = 0.70 m
volume of the cylinder underneath = [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{8}) ^{2}[/tex] x 0.7
= 0.8594 cubic meters
iii. volume of the semi sphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius = 1.5 m
volume of the semi sphere = [tex]\frac{2}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]
= 7.0714 cubic meters
Thus,
volume of the water to fill the spa tub = 7.0714 - (0.3536 + 0.8594)
= 5.8584
The volume of water that will fill the spa tub is 5.9 cubic meters.
Sohanlal is a gardener He is paid 160 daily find how much money will he get in the month of September
pls give me your answers
Step-by-step explanation:
money he gets daily - 160
total days in September month - 30
his monthly income - 160×30 = 4800
hence the money he gets in month of September is 4800 (units)
Find the length of BC
Answer:
Hope this helps.. Have a good day
Full working out for these questions please.
First question is the first attachment and the second question is the second attachment.
Answer:
c,
Step-by-step explanation:
Explain how to solve 5^(x-2)= 8 using the change of base formula
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 5^{x -2}= 8 [/tex]
Take log on both sides with base as " 10" . We have ,
[tex]\sf\longrightarrow log_{10} 5^{x-2}= log_{10}\ 8[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow ( x -2) log_{10} 5 = log_{10} 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow ( x -2 ) log_{10}5 = log_{10} 2^3[/tex]
Again simplify using the property of log ,
[tex]\sf\longrightarrow (x-2) log 5 = 3 log 2[/tex]
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
[tex]\sf\longrightarrow ( x - 2 ) = \dfrac{ 3\times 0.301}{0.69}[/tex]
Simplify the RHS ,
[tex]\sf\longrightarrow x - 2 = 1.30 [/tex]
Add 2 both sides ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 3.30}}[/tex]
Hence the Value of x is 3.30 .
Answer:
its actually 3.292 because we round to the nearest thousandth and thats not even the equation you use above
Step-by-step explanation:
For this equation we use the formula log a^m=m (log a) so the equation will be written as log 5 (5^x-2) = log 5 (8). You use the base, which is 5, and use log to base 5 on both sides of the equation. Then you take the exponent " x-2" and write( x-2) log 5 (5) = log 5(8). Since log a =1, you multiply that 1 by x-2, which keeps it x-2. Making the equation x-2 = log 5 (8). Next, we use the change of the base properties with the formula log b^y= log y/ log b. The equation will be written as x-2 = log 8/ log 5, since 5 is the base it stays in the bottom or basement. We then add +2 to both sides of x-2 and log 8/ log 5. To solve this equation, you can find out what log 8 and log 5 are and divide those and add +2 to solve. So log 8 = 0.903 and log 5 = 0.698970 and divide those to get 1.29190 +2 and you get the answer rounded as 3.292.
