Answer:
Well I got 9 log 10 (2)/ 3-3log10 (5)
Please correct me if I am wrong
Step-by-step explanation:
You have to apply the rule alogc (b) (b^a)
= [tex]\frac{log10(\sqrt{8))^{4}-log10((\frac{1}{2}))^{3}) } }{3-6log10(\sqrt{5}) }[/tex]
\frac{\log _{10}\left(\frac{\left(\sqrt{8}\right)^4}{\left(\frac{1}{2}\right)^3}\right)}{3-6\log _{10}\left(\sqrt{5}\right)}
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
20 points!
Just need help on these questions
I will try to mark brainliest!
Answer:
the first one is 45% I don't no the second one
A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?
Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.
Can someone please help me?
Answer:
yes
Step-by-step explanation:
which percent is equivalent to 12/25
Answer:
48 percent
Step-by-step explanation:
12 divided by 25 gets you .48 which can be expressed as 48%
Answer:
48%
Step-by-step explanation:
1. Change 12/25 to a fraction with a denominator of 100
25 x 4=100
12 x 4=48
2. Find the percent
48/100= 48%
The sum of 3 times a number and 5 is equal to 9.
Answer:
Let x equal “a number”
3x+5=9
Answer:
x = 4/3 or 1.33333333333333333333333(infinite 3)
Step-by-step explanation:
3 times a number = 3x
sum = addition
3x + 5 = 9
now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.
3x = 4, now divide by 3 on each side to get x on one side
3x/3 = 4/3
x=4/3
4/3 = 1.33
3 x 1.33 +5 = 9
2. Solve for the x.
8
16
7
Answer:
Theres no equation here?
Step-by-step explanation:
factorize the following
2mh+3mk-2nh-3nk
Answer:
(2h + 3k) (m - n)
Step-by-step explanation:
factor by pairing: pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates
m is common factor of 1st pair: m(2h+3k)
n is common factor of 2nd pair: n(2h+3k)
answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)
Answer:
[tex](2h+3k)(m-n)[/tex]
Step-by-step explanation:
[tex]2mh+3mk-2nh-3nk[/tex]
Just look at the common terms
[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]
By grouping we have
[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]
A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?
Answer: There are 3 quarters , 9 dimes and 14 pennies.
Step-by-step explanation:
Let x= Number of quarters
Then, Number of dimes = 3x
Number of pennies = 3x+5
1 quarter = $ 0.25
1 dime = $0.10
1 penny = $ 0.01
So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)
= 0.25x+0.30x+ 0.03x+0.05
= 0.58x+0.05
Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]
So,
[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]
Thus, there are 3 quarters , 9 dimes , 14 pennies.
Answer:
Step-by-step explanation:
there are 3 quarters , 9 dimes , 14 pennies.
Express this answer as a unit rate: $50 for 4 days of work. Lable the unite rate.
Ans
$12.5/1 day
Step-by-step explanation:
Just cause
A large bowl holds 5 2/3 cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let represent the number of cups of punch that are added to the bowl. Write and solve an equation to find the number of cups of punch that are added to the bowl.
Answer:
4 1/3 cups
Step-by-step explanation:
All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.
Over what interval is the function nonlinear?
Answer:
Step-by-step explanation:
3rd one
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
Could someone pls help me if you know it thank you!:)
Answer:
24 Square Feet.
Step-by-step explanation:
2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?
Answer:I picked 4
Step-by-step explanation:
.
help please i am struggling.
Answer:
what Netflix show were you watching?
ANSWER ASAP WILL MARK BRAINLIEST
Answer:
8.5
Step-by-step explanation:
(19x19)-(17x17)=72
square root of 72
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
pleaseeee help its due today :(
thank you in advance <3
Step-by-step explanation:
y = 1 / (cx + a) - b
At the x-axis intercept, y = 0.
=> 1 / (cx + a) - b = 0
=> 1 / (cx + a) = b
=> b(cx + a) = 1
=> bcx + ab = 1
=> bcx = 1 - ab
=> x = (1 - ab) / (bc)
Hence the answer is Option B.
jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve
Answer:
6 1/2
Step-by-step explanation:
Answer:
6.5 quarts.
Step-by-step explanation:
This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5
Joe wants to buy the new Air Jordans for $170. He has saved up $180 by plowing driveways. He knows that he will have to pay 7.5% tax. Will Joe have enough money to buy the sneakers?
Answer:
No
Step-by-step explanation:
This is because 7.5% of $170 is $12.75. If you add this to the original price of $170, then it will equal $182.75.
In a two-digit number, the unit's digit is 2 more than that of the ten's digit. The sum of the digits is 27 less than the number. Find the product of the digits of the number
Answer:
15 is the product of the digits of the number
Step-by-step explanation:
Let the two digit number be xy
Unit digit is 2 more than ten’s digit
y - x = 2 ••••••(i)
Secondly;
x + y = (10x + y) - 27 •••••(ii)
From i, y = x + 2
Put this into ii
x + x + 2 = 10x + x + 2 - 27
2x + 2 = 11x - 25
11x - 2x = 25 + 2
9x = 27
x = 27/9
x = 3
From above;
y = x + 2
y = 3 + 2 = 5
The product of the numbers xy will be 5 * 3 = 15
Solve the following compound inequality: 3<-2x-137.
a. -2
c. -1 <
b. -2>x2-4
d. -1 >x2-3
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS
STEP 1
3<-2x-137 equation
STEP 2
3<-2x-137 simplify by reversing equation
-2x-137>3
STEP 3
-2x-137>3 simplify
-2x>140
step 4
-2x>140 look for a number that can divide the two numbers like 2
-2x /-2 > 140 /-2
1>-70
answer
x>-70
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
Find the area of the shape. Need an answer immediately.
Answer:
A= 113.1 (I rounded my answer)
Step-by-step explanation:
A=πr^2=π·6^2=113.09734
A bag contains cards numbered from 1 to 14 one card is drawn at random find the probability of
a.) Selecting a prime number of a multiple of four
b.) selecting a multiple of two or a multiple of three
Answer:
One: P = 1/2 = 0.5
Two: P = 8/14 = 4/7 = 0.714
Step-by-step explanation:
One
I take it that the question is a prime number or 4.
P(four) = 1/14
The primes are 2,3,5,7,11,13. There are 6 of them
P(prime) = 6/14
P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2
Two
Multiple of 2 := 2 4 6 8 10 12 14
Multiple of 3 := 9 in addition to 6 and 12 which cannot be counted twice.
P(2 or 3) = 8/14 = 4/7 = 0.714
Write an equivalent expression.
-2(8+5g)
Answer:
-16 - 10g
Step-by-step explanation:
All I did was distribute
-2*8 + -2*5g
-16 - 10g
(+ -) additive inverse
help help help ( I WILL MARK YOU AS BRAINLIEST )
What is the first step in solving x^2 +14x-43=3 completing the square?
Answer:
Step-1 : Multiply the coefficient of the first term by the constant
Step-by-step explanation:
Answer:
step 1 = Subtract 3 from both sides
step 2= Use quadratic formula with a=1, b=14, c=-46
Answer to the equation = x=−7+√95 or x=−7−√95