Answer:
1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2.Exact solution x = -0.376
Step-by-step explanation:
Solution:
First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.
1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
Hence,
Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2) [tex]4^{5x} = 3^{x-2}[/tex]
Now, we have to find out the exact solution of the above equation:
In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.
So,
We are using logarithm to solve this equation.
Let's break this down:
[tex]4^{5x} = 3^{x-2}[/tex]
Taking log on both sides.
log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]
[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]
Dividing both sides by log(4)
[tex]5x[/tex] = (x-2) [tex]\frac{log(3)}{log(4)}[/tex]
value of log(3) = 0.4771
value of log(4) = 0.6020
[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =
5x = (x-2)0.792
5x = 0.792x - 1.584
by rearranging the equation, we get:
0.792x - 5x = 1.584
x(0.792 - 5) = 1.584
x(-4.208) = 1.584
x = -1.584/4.208
x = -0.376
Exact solution x = -0.376
divide the stars into 3 equal groups .
How many stars are in each group ?
what is 1/3 of 9 ?
Answer: 3
Step-by-step explanation: Divide 9 by 3
what is equivalent to 2 with a little 4
Answer:
16 is your answer
Step-by-step explanation:
plz mark brainliest to help rank ;)
What is the value of y in this triangle?
Answer:
value of y in triangle is D. 36° okay
(05.08A)The figure below shows three quadrilaterals on a coordinate grid:
A coordinate plane is shown. Figure Q is a quadrilateral with sides measuring 5 and 2. Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4.
Which of the following statements is true about the three quadrilaterals?
Q and W are similar but not congruent.
W and S are similar and congruent.
W and Q are similar and congruent.
Q and S are similar but not congruent.
Answer:
Q and w are similar BUT NOT CONGRUENT
Step-by-step explanation:
I TOOK THE QUIZ lol
Answer:
a
Step-by-step explanation:
18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A 272.5
B 267.5
C 270
D 337
Answer:
B) 267.5
Step-by-step explanation:
162.5+105=267.5
what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters
Answer:
5 meters
Step-by-step explanation:
Answer:
5 meters
Step-by-step explanation:
;)
A weather report stated that the monthly rain amounts for the past three months were 15.82 inches, 17.4 inches, and 9.56 inches.
What is the total amount of rainfall for the three months?
A. 27.12 inches
B. 41.178 inches
C. 42.42 inches
D. 42.78 inches
Answer:
42.78 inches
Step-by-step explanation:
The anount of rainfall for the past three months are
15.82 inches
17.4 inches
9.56 inches
Therefore the total amount of rainfall for the three months can be calculated as follows
= 15.82+17.4+9.56
= 42.78
Hence the total rainfall for three months 42.78 inches
please give correct answer <3 :(
Answer:
216g^3
Step-by-step explanation:
6g^3 g^3
6g^3 = 6g * 6g * 6g = 216g^3
Answer:
[tex]216g^{3}[/tex]
Step-by-step explanation:
6^3 x g^3=
6^3=216
216g^3
The function f(x)=2x-6 and g(x) is shown in the table
Answer:
Multiply then add them and them that's your answer.
Step-by-step explanation:
a Zoo ticket cost $13 for adults in about $8 for students if a company of 125 people wanted to take his employees to the zoo how much would they have to pay
Answer:
Assuming there all adults, it would be $1625
Step-by-step explanation:
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
Why do you think most people who have lived
on our planet would have been suspicious of negative
numbers?
Answer:
I do not know
Step-by-step explanation:
I guess because negative represents going down :/
Which point represents the fourth bus stop
A. (11,8)
B. (13,12)
C. (15,10)
D. (19,12)
Answer:
The answer is (19,12)
The product of the slopes of parallel lines is 1
Sometimes, never, or always
Answer:
Sometimes
Step-by-step explanation:
Answer all questions and the topic is about ordering decimals and don't answer if u do not know.
Answer:
31. 0.93, 0.9, 0.33
27. 6.13, 6.14, 6.31
28. 3.09, 3.19, 3.9
29. 12.96, 12.83, 12.8
25. 9.06, 9.6, 9.66
26. 0.09, 0.67, 0.86
Step-by-step exp
Find the slope intercept equation of the line
PLEASE SOMEONE HELP WHO UNDERSTANDS HOW TO DO THESE BECAUSE I KEEP GETTING THE WRONG ANSWER!!!
Step-by-step explanation:
For every 3 blocks across, the line graph goes up by 2 blocks. Therefore the slope of the line is 2/3.
The line also intercepts the y-axis at -3.
Hence the slope-intercept form is y = 2/3 x - 3.
solve the inequality
Answer:
m ≥ –6
Step-by-step explanation:
m+5 ≥ –1
subtract 5 from both sides
m ≥ -6
Substitute x=-2 into the expression -2x+4 and simplify
Answer:
Step-by-step explanation:
here you go mate
step 1
-2x+4 equation
step 2
-2(-2)+4 substitute -2 for x
2+2+4
answer
8
if 50% is 10 what is 25%
Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.
This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.
What is 22% of 46?
Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.
Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.
So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].
0.46 × 22 = 10.12
Answer: 22% of 46 is 10.12.
Hope this helped :)
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the
doghouse?
The cost, in dollars, for a group to attend a play is represented by 72p+ 250, where p is the number of
people attending. What is the cost for 36 people?
$286
$358
$2,342
$2,842
Answer:
Add 72+250 that will give u the answe
i hopStep-by-step explanation:
64 oz equals how many lbs
Answer:
4 pounds
Step-by-step explanation:
Answer: 4 pounds
Step-by-step explanation:
Hope this helps :)
Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?
Answer:
$2 more.
Step-by-step explanation:
In this question, we have to find how much more money Victoria is saving.
We know that Jacob saved $174 in 3 months.
We also know that Victoria saved $360 in 6 months.
Lets find how much money they save per month:
Jacob:
174 ÷ 3 = 58
Victoria:
360 ÷ 6 = 60
Jacob is saving $58 per month and Victoria is saving $60 per month.
This means that Victoria is saving $2 more than Jacob per month.
Answer:
2
Step-by-step explanation:
multiply by 2 and then divide by 6
Find the price please
Answer:
the answer is 45% that what I got at least
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show the frequency and relative frequency distributions.
Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
NEED HELP!!! I’ll report if your putting random answers down
Answer:
First blank: 8
Second Blank: 16
Third Blank: 56
Step-by-step explanation: Hope I helped
can someone help me? im really stumped, i will give brainliest. so please help. thanks. i really need it
Answer:
The answer is A.
Step-by-step explanation:
The question is basically asking which number, added to 3.5, gives you -4.3. You just have to do the operation -4.3 - 3.5 to get the answer. You just need to do the inverse. You should end up with -7.8.
a rock is thrown into a pond from a bridge above. The path the rock follows can be modeled by the equation h = - 16t^2 +44t + 12, where t is time and h is the height of the rock. Which of the following expressions is equivalent to this expression?
Ans
Step-by-step explanation:i dont know
Investors buy a studio apartment for 240,000. Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price?
Answer:
Step-by-step explanation: