Answers
Hi there!
[tex]\large\boxed{log_b3b = 1.8397}[/tex]
Keep in mind the following log property:
logₓab = logₓa + logₓb
Thus:
[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]
We know the value of log_b3, and a log with the same values for the base equals 1. Thus:
[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]
Related Questions
Can I please get help with these 2 questions about polygons
Answers
Answer:
a)139°
Step-by-step explanation:
two co interior angles make one opposite exterior angle
49+90=139°
y
In the diagram, AB = 10 and AC = 210. What is the
perimeter of ABC?
ch
A (8,4
O 10 units
4 3 2
O 10+ 210 units
O 20 units
X
O 20+ 2/10 units
2 3 4 5
B (5,-2)
C (5,-2)
3
Answers
9514 1404 393
Answer:
20 +2√10 ≈ 26.3 units
Step-by-step explanation:
Length AB is given as 10 units. Length AC is given as 2√10 ≈ 6.325 units. The length BC is the difference of the x-coordinates of its end points, since they are on a horizontal line: 5 -(-5) = 10 units.
The perimeter is the sum of the lengths of the sides of the triangle.
P = AB +AC +BC = 10 +2√10 +10 = 20 +2√10 ≈ 26.3 . . . units
for the value of Cos<c=
Answers
Answer:
1.732 is the value of cos C
Answer:
none of these
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos C = 4 sqrt(3)/ 5
cos C = 1.38564
The formula for the area of a triangle is A = kbh, where A is the area, b is the base
length, and his the height.
Solve the formula for height, h.
Answers
Answer:
A / kb = h
Step-by-step explanation:
A = kbh
Divide each side by kb
A / kb = hkb/kb
A / kb = h
Step by step solution please
Answers
Answer: A, C, D
Step-by-step explanation:
To find which logarith simplifies to 2, we first need to know how they work.
We now know that [tex]log_a(a^x)=x[/tex].
This tells us that only A, C, D would work.
[tex]8^2=64\\ \\6^2=36\\\\10^2=100[/tex]
Note: whenever you have a log that doesn;t specify the base, it is always 10, as shown in D.
Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __
Answers
Answer:
The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches
Step-by-step explanation:
Find x.
A. 4
B. 4√2
C. 2√2
D. 8
Answers
Explanation:
As shown, x is the hypotenuse and we have an angle 30 whose adjacent side is 4sqrt3. When given an angle and its adjacent side and are required to find the hypotenuse, we may use the cosine of the given angle. Since cosine is adjacent/hypotenuse, we may apply this.
1) cos30 = 4sqrt3/x
2) sqrt3/2 = 4sqrt3/x
3) x/2 = 4sqrt3/sqrt3
4) x/2 = 4
5) x = 8
Hope this helps, brainliest would be appreciated :)
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answers
Answer:
Step-by-step explanation:
1 milli liter = 0.135 grams
182.8 ml = 0.135 * 182.8 = 24.678 grams
Answer:
24.678
Step-by-step explanation:
Hope this helps :)
identify the diameter and the circle shown
Answers
Answer:
Option D, HF is the answer........
Answer:
the answer is diameter AHThe distance between Detroit, Ml to Paris, France is approximately 3930 mi. Flying from Detroit to Paris take 8 hr with the jet stream. The return flight takes 8.3 hr since the plane is flying against the jet stream. a. What the plane Soren still in air, rounded to the nearest whole number, is blank mph b. What the speed of the jet stream, rounded to the nearest whole number, is blank mph
Answers
Answer:
a) [tex]s=482moh[/tex]
b) [tex]s'=9mph[/tex]
Step-by-step explanation:
From the question we are told that:
Distance [tex]d=3930mi[/tex]
Time of flight [tex]T=8hr[/tex]
Flight back [tex]T_b=8.3hr[/tex]
Generally the equation for Time for flight with jet steam is mathematically given by
[tex]T=\frac{d}{s+s_1}[/tex]
[tex]8=\frac{3930}{s+s'}[/tex]
[tex]s+s'=491.3 ....equ1[/tex]
Generally the equation for Time for flight against jet steam is mathematically given by
[tex]T=\frac{d}{s-s_1}[/tex]
[tex]8.3=\frac{3930}{s-s_1}[/tex]
[tex]s+s'=473.5......equ 2[/tex]
Solving equ 1 and equ 2 simultaneously
[tex]s+s'=491.3[/tex]
[tex]s+s'=473.5[/tex]
Therefore
[tex]s=482moh[/tex]
[tex]s'=9mph[/tex]
These circles are:
A. tangent
B. congruent
C. congruent
D. none of these
Answers
Answer:
A. tangent
Step-by-step explanation:
Hi there!
Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.
I hope this helps!
In the picture below, which lines are lines of symmetry for the figure?
Answers
HELP!!!
I need to know if this is Function or not a function.
Answers
Answer:
Not a function
Step-by-step explanation:
Since x = 1 produces y = 3 and y = 4 , the relation is not a function.
( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )
The domain cannot be the same value.
Can someone help me out I don't understand
Answers
Answer:
1/2
Step-by-step explanation:
You need to see how much times bigger or smaller the shape is after it's changed, that's the scale factor
The dialated image (blue one where it says J'K'T'P') seems like half the size of the black one, so we'll say the scale factor is half or 1/2 (if it's double then the scale factor is 2, for triple, it's 3)
Answered by GAUTHMATH
đưa về phương trình tích: f(x)=3x^2-2x-1
Answers
f(x)=3x²+x-3x-1
=x(3x+1)-(3x+1)
=(x-1)(3x+1)
in a diagram 0 is the centre of the circle and ABC=240
Answers
Question incomplete please add the diagram
HELP FAST Which solution shown bellow contains an error
Answers
Answer:
B
Step-by-step explanation:
Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age
Answers
Answer:
aman's son's age = 20
aman's age = 40
Step-by-step explanation:
let aman's son's age be x
aman's age = 2x
2x+5+x+5 = 70
3x+10=70
3x = 60
x = 20
2x = 40
If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many people are in the garden?
Answers
convert the rational number into an equivalent rational number with the given numerator 3/5=12/□
plz give me answer fastly and don't snap
Answers
Answer:
3/5
=3*4/5*4
=12/20
I hope this will help.
Answer:12/20
Step-by-step explanation:
which inequality is represented on the number line shown?
Answers
Answer:
A
Step-by-step explanation:
b/ of shaded region can make to closed inequality & it's not closed to make open inequality.
What is 21+x=70 what is X?
this is me
Answers
Answer:
Simplifying
Simplifying
21 + x = 70
Solving
21 + x = 70
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + x = 70 + -21
Combine like terms: 21 + -21 = 0
0 + x = 70 + -21
x = 70 + -21
Combine like terms: 70 + -21 = 49
x = 49
Simplifying
x = 49
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21 + x = 70}[/tex]
[tex]\large\textsf{x + 21 = 70}[/tex]
[tex]\large\text{SUBTRACT 21 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 21 - 21 = 70 - 21}[/tex]
[tex]\large\text{CANCEL out: 21 - 21 because that gives you 0}[/tex]
[tex]\large\text{KEEP: 70 - 21 because that helps solve for the x-value}[/tex]
[tex]\large\textsf{x = 70 - 21}[/tex]
[tex]\large\textsf{\bf x = 49}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 49}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
HEEEEEEEEEEEEEEEEEEELP
Answers
Answer:
2 miles per hour
Step-by-step explanation:
To find her walking pace in 'miles per hour' we need to divide the distance (in miles) by the time (in hours).
Speed = Distance/ Time
The time is given in minutes , but 50 minutes = 50/60 hours
=5/6 hours
1 2/3 ÷ 5/6
=5/3 × 6/5 miles per hour
Now cut it
= 2 miles per hour
It took francisco 60 minutes to walk from his house to his grandmother’s house. what is 60 written as a product of factors greater than 1? each factor can have only 1 and itself as factors.
Answers
Answer:
2 × 2 × 3 × 5
Step-by-step explanation:
Given that,
The number = 60
To find,
Factors of 60 greater than 1 = ?
Procedure:
As we know,
Any of various numbers multiplied together to form a whole.
To find the factors of a number, we will have to do its prime factorization.
So,
The prime factorization of 60:
1 * 2 * 2 * 3 * 5 = 60
Since the factors greater than 1 are asked, the factors would be;
2 * 2 * 3 * 5
Thus, 2 * 2 * 3 * 5 is the correct answer.
A survey asked 60 students if they play an instrument and if they are in band.
1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
Answers
=======================================================
Explanation:
The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.
We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.
This is enough to see that choice A is the final answer
Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.
B is incorrect it says the total # of people not in a band is 35 but the description says only 30 aren’t in a band
C is incorrect because it says the total # of people that play an instrument is 30 but the description says 35 students play an instrument
D is incorrect because the way the graph is set up doesn’t make sense (ex. How can someone qualify for “not being in band but play an instrument” but also qualify for “in band and play instrument”
Which graph represents the function f(x)= |x| -4?
Answers
Answer:
the graph will be the parent function : |x|, but shifted down by 4 units
Step-by-step explanation:
Find the missing side lengths
Answers
Answer:
[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]
[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]
Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles. please draw the answer
Answers
Answer:
Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command
(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]
(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM
(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]
(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM
Step-by-step explanation:
solve
f(x)=4x5−8x4+8x2−4x
Answers
Given:
The function is:
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
To find:
The roots of the given equation.
Solution:
We have,
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
For roots, [tex]f(x)=0[/tex].
[tex]4x^5-8x^4+8x^2-4x=0[/tex]
[tex]4x(x^4-2x^3+2x-1)=0[/tex]
[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]
[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]
On further simplification, we get
[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]
[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]
[tex]4x(x+1)(x-1)^3=0[/tex]
Using zero product property, we get
[tex]4x=0[/tex]
[tex]x=0[/tex]
Similarly,
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
And,
[tex](x-1)^3=0[/tex]
[tex]x=1[/tex]
Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].
A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of depression of the two trucks from the helicopter are 60° and 20°. How far apart are the two trucks?
Answers
Answer:
1045.01 rounded to the nearest hundredth
Step-by-step explanation:
First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.
If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.
Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500
tan(60) = x/500
multiply both sides by 500 to isolate the x
tan(60) * 500 = x
x = 866.0254
Similarly, with side y, we can say that tan(20) = y/500 and
tan(20) * 500 = y
y= 181.9851
The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth
