Need Help. The question is down below
These are NOT answer choices
Please show your work for each of these problems
Answers
Useful Log Rules:
log(A*B) = log(A)+log(B) .......... log rule 1log(A/B) = log(A) - log(B) .......... log rule 2log(A^B) = B*log(A) ................... log rule 3=========================================================
Part (a)
All logs shown below are base 3.
log(500) = log(5*100)
log(500) = log(5*10^2)
log(500) = log(5)+log(10^2) .... use log rule 1
log(500) = log(5) + 2*log(10) .... use log rule 3
log(500) = 1.4650 + 2*2.096 ....... substitution
log(500) = 5.657
Answer: 5.657=========================================================
Part (b)
All logs shown below are base 3.
log(2) = log(10/5)
log(2) = log(10) - log(5) .... use log rule 2
log(2) = 2.096 - 1.4650 ....... substitution
log(2) = 0.631
Answer: 0.631Related Questions
anyone please help!!!
Answers
Answer:
11
Step-by-step explanation:
Answer:22(a)
Step-by-step explanation:22 is a factor of 66
A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?
Round the answer to the nearest tenth.
Answers
9514 1404 393
Answer:
38.5°
Step-by-step explanation:
A triangle solver can give an answer easily. The angle is 38.5°.
__
The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.
C = arccos((a² +b² -c²)/(2ab))
Here, we have a=35, b=48, c=30, so the angle is ...
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°
The angle the cable makes with the pole is about 38.5°.
Write the sentence as an inequality.
Three times a number w is less than 18.
Answers
Answer:
w<6
Step-by-step explanation:
3w/3 <18/3
You divide that and get w<6.
Which point is located at (2,-5)?
Answers
Answer:
B.
Hope this helps!
For any rectangle ABCD, determine whether each statement is always, sometimes, or never true. ∠a≅∠b
Answers
Answer:
always
Step-by-step explanation:
no matter what the angles of a rectangle will be 90 degrees so the answer is always
Answer:
Step-by-step explanation:
Consecutive angles are equal only when dealing with a square or a rectangle. All other 4 sided figures do not have this property.
So the answer is sometimes.
calculate the value of the expression (-8)·(-1/3)
Answers
Answer:
8/3
Step-by-step explanation:
If we multiply it the subtraction will cut off and 8 will mulitply to 8/3.
write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4
PLEASE HELP:(((((
Answers
If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].
can anyone help me ?
Answers
Answer: m∠T = 48°
ΔMAT has MA = MT
=> ΔMAT is a isosceles triangle at M
=> ∠A = ∠T = (180° - ∠M)/2
=> x + 20 = (180 - 3x)/2
⇔ 2x + 40 = 180 - 3x
⇔ 5x = 140
⇔ x = 140/5
⇔ x = 28
=> ∠A = ∠T = 28 + 20 = 48°
Step-by-step explanation:
Find the surface area of the 3D solid. Round to one decimal place.
Answers
Answer:
172.5
Step-by-step explanation:
The formula for the surface area of a right circular cone (the following shape) is πr( r + √h^2 + r^2). Since the radius (r) is already given (3) and the height (h) is already given (15), you just replace each r with 3 and h with 15. After solving this out, you should get 172.45, which rounds to 172.5 to the first decimal place
ILL MARK U BRAINLIEST HELP
Answers
Answer:
6x-y
Step-by-step explanation:
Add the two expressions
Answer:
6x + -y
Lets simplify this step by step:
2x + 7y + 4x −8y
2x + 7y + 4x + −8y
Then we combine like terms
=2x + 7y + 4x + −8y
=(2x + 4x) + (7y + −8y)
= 6x + −y
solve for all the values of the interior angles
Answers
Answer:
x = 6
Step-by-step explanation:
measure of angle E: 5(6) + 8 = 38
measure of angle D: 6(6) + 8 = 44
measure of angle C: 180 - 82 = 98
check answers by adding all 3 angle measures to make sure they equal 180 degrees
(x+1)-6(x+1)+8 how to factorise it?
Answers
Answer:
Step-by-step explanation:
If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.
x + 1 + 6x + 6 + 8
7x + 15 is your final answer.
However, I think the question is
(x + 1)^2 + 6(x + 1) + 8
Let y = x + 1
y^2 + 6y + 8
(y + 2)(y + 4)
(x + 1 + 2 ) ( x + 1 + 4)
(x + 3)(x + 5)
Jeremey performs the same operations on four values of x. He records each resulting y-value in a table, as shown below. Which equation shows the operations Jermey performs on x to get to y
Answers
Answer:
Y=4x-3
Explanation: If we look 2 = 5 We can do 4(2)= 8 -3 = 5 So that the answer and 4(4)= 16-3 = 13 so these are the Y so this is the answer!
What information can be used to compare linear relationships? Explain why.
Answers
Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Step-by-step explanation:
Answer:
Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
SOMEBODY PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST
In parallelogram KLMN, KN = 10, MN = 7 and mK = 50°
Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.
Find the measures of the remaining side lengths of parallelogram KLMN. Justify each of the measures with a theorem.
Answers
Answer:
a- 130, 130, and 50
b- 7 and 10
Answer:
a- 130, 130, and 50
b- 7 and 10
Step-by-step explanation:
solve the equation or inequality.
5t - 3 (7t + 1) < 93
Answers
Step-by-step explanation:
5t-3(7t+1) < 93
Remove the parentheses
5t-21t-3 < 93
-16t < 93+3
-16t < 96
Divide both sides by 16
-t<96/16
-t<6
t > -6
Answer: The inequality t < 6 is the correct answer.
Step-by-step explanation:
5t - 3 (7t + 1) < 93 <--- This is the original equation.
5t + (7t + 1) - 3 < 93 <---- Use commutative property.
16t - 3 < 93 <--- Simplify
16t - 3 + 3 < 93 + 3 <---- Add 3 to both sides,
16t < 96 <--- Simplify and do addition.
[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.
t < 6 <--- is the answer to the inequality.
Hope this helps! :D
an equivalent ratio for 5:10
Answers
Answer:
Here u go! :)
Step-by-step explanation:
10:20, 15:25, 20:30 etc..
Hope this helps you! xx
Answer:
10:20, 15:30, 20:40, 25:50
Step-by-step explanation:
3x+1 = 27
answer choices: a) -1/3
b) -6
C) -2/3
d) -3/2
Answers
-2y - 3y + 8 = 8 -5y - 12
solve this equation fast please
Answers
What we need to do is cancel both like terms on both sides of this equation which is
8=8 and you remove them.
Then you are left with -2y-3y=-5y-12
What you need to do is add -2y-3y because they are like terms
Now you have -5y
Then you put -5y=-5y-12
So you have to now cancel equal terms on both sides of this equation which were “-5y=-5y”, then you turn them into a 0
Now you are left with 0=-12
Therefore the statement is false for any value of y.
If 15 ounces of candy cost $3.75 what is the price per unit
Answers
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
You buy two packages of almonds and mix them together into one bowl one package is 8.24 kg and the other is 6.62 kg. How much is in the bowl
Answers
Answer:
8.24+6.62=14.86
(11x + 8) + (8x + 12) =27
Answers
Answer:
11x + 8 +8x +12 =27 (drop the parenthesis, there's no actual need for them)
19x +20 =27 (i combined like terms and then subtracted 20 from both sides)
19x = 7 (divide both sides by 19 to get x alone)
x= 7/19 or 0.36842105 (the answer)
Step-by-step explanation:
Please help, I am bad at math and I don't know how to answer this question please help
How is solving equations with fractions similar to solving equations with whole numbers?
(Written Response)
(Sorry if this is easy, if you have already done this on edg, I don't mind if it is the sample response)
Answers
Answer:
You have to make the fraction into a whole number.
Step-by-step explanation:
Hope this helps. :)
NEEDING HELP ASAP!
*CLICK ON PHOTO*
!SHOW ALL WORK!
Answers
-6x-2y=42
x-y=-15
Multiply x-y=-15 by 6 ( eliminate the x first)
6(x-y)=6(-15)
(6)(x)=6x
(6)(-y)=-6y
6(-15)=-90
-6x-2y=42
6x-6y=-90
eliminate x the systems of equations by subtracting
-6x+6x-2y+-6y=42-90
-2y-6y=42-90
-8y=-48
divide both sides by -8 to get y by itself
-8y/-8=-48/8
y=6
Find x by substitution method
use y=6 into one of the system of equations
x-y=-15
x-6=-15
move -6 to the other side
sign changes from -6 to +6
x-6+6=-15+6
x=-15+6
x=-9
answer:
(-9,6)
7. The lifetime of a certain brand of tires is approximately normally distributed, with a
mean of 40,000 miles and a standard deviation of 2,500 miles under normal driving conditions.
Tire wear is greatly affected by road, weather and driver conditions along with proper
maintenance of the tires. A driver who aggressively accelerates or makes quick stops, for
example, will wear out a tire much more quickly. The brand carries a warranty of 33,000 miles
under normal driving conditions, i.e., the company will replace a tire if it wears out before this
mileage limit is reached.
Answers
Answer:
0.0025551
Step-by-step explanation:
Given that:
Mean (m) = 40000
Standard deviation (s) = 2500
P(x < 33,000) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (33000 - 40000) / 2500 = - 2.8
p(Z < -2.8) = 0.0025551 ( Z probability calculator)
Probability of Tyre wagering out before mileage limit is reached = 0.0025551
will give brainiest pls help
Answers
Answer: b
Step-by-step explanation:
B
Answer:
The American Revolutionary War (1775–1783), also known as the American War of ... Britain remained under siege in Gibraltar but scored a major victory over the French navy. ... in America, and the colonial legislatures argued that they had exclusive right .... Howe then seized control of New York City on September 15
Step-by-step explanation:
Given: x + y = 10.
If x = -21, what is y?
Answers
You have to work backwards to isolate y. You would at 21 to both sides and get y = 31
Answer:
31.
Step-by-step explanation:
-21 + 31 = 10
x + y = 10
y = 31
Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
Answers
Answer:
Volume of a cylinder, V = πr^2h
but r= d/2
therefore, Vol = π(d/2)^2h
from the parameters given,
Vol = π(18/2)^2h
=81πh
what do i say for this
please help :((((
Answers
Answer:
Step-by-step explanation:
Error 1) It should be divided by 5.
x - 5 = 0
x = 5
Error 2) -3 15 0 -1 5
coefficient of x² is 0 and it is not included
A sports store is having a 20% off sale on skis. The original price of the ski is $560.00
The tax rate is 8.5%. What is the total cost of the skis?
Answers
Answer:
Total cost: 486.080$
Step-by-step explanation:
Original Price: 560.000$
Sale: 20%
Discount: 560.000$ * 20% = 112.000$
Discounted Price: 560.000$ - 112.000$ = 448.000$
Tax Rate: 8.5%
Tax: 448.000$ * 8.5% = 38.080$
Tax after Tax: 448.000$ + 38.080$ = 486.080$