Work out the value of x when 2^30/8^9=2^x step by step explan please
please i need explanation >"
Step-by-step explanation:
Convert to exponential form
log(5x)(2x-4)=3x+2
Answer:
2x - 4 = 25x^2x^3x
Step-by-step explanation:
log(5x)(2x-4)=3x+2
2x- 4 = (5x)^(3x+2)
2x - 4 = (5x)^3x * (5x)^2
2x - 4 = 25x^2x^3x.
Answer:
Exponential form:
[tex](5x)^{3x+2}=2x-4[/tex]
Step-by-step explanation:
[tex]\log_\text{base}(?)=\text{exponent}[/tex]
is equivalent to [tex](\text{base})^\text{exponent}=?[/tex]
So [tex]\log_{5x}(2x-4)=3x+2[/tex]
is equivalent to
[tex](5x)^{3x+2}=2x-4[/tex]
Round 958.989730738 to the nearest hundred.
Answer:
958.99
Step-by-step explanation:
Assuming you meant "hundredth", for the nearest hundredth term you would need to round up to the 2nd number behind the decimal. The thousandth digit of the number is 9, since 9 is greater than 4, you would need to round up by 1 to get 958.99.
Type the correct answer in the box. The product of (3 - 4) and is 25.
Answer:
3+4i
Step-by-step explanation:
let x be the answer
(3-4i)x=25
x=25/(3-4i)
multiply by the conjugate
x=(25(3+4i))/25
x=3+4i
Step-by-step explanation:
solution
2/7 of 3/4= 2/7×3/4=
(2×3)/ (7×4)
Ans = x= 3+4i
Find the missing number based on the description below. 11 less than four times a number is the same as 46 less than the product of -1 and the number
Given:
11 less than four times a number is the same as 46 less than the product of -1 and the number.
To find:
The missing number.
Solution:
Let x be the missing number.
Four times a number = 4x
11 less than four times a number = 4x-11
Product of -1 and the number = (-1)x
= -x
46 less than the product of -1 and the number = -x-46
The given statement is "11 less than four times a number is the same as 46 less than the product of -1 and the number". So,
[tex]4x-11=-x-46[/tex]
[tex]4x+x=11-46[/tex]
[tex]5x=-35[/tex]
Divide both sides by 5.
[tex]x=\dfrac{-35}{5}[/tex]
[tex]x=-7[/tex]
Therefore, the missing number is -7.
Find the H.C.F. of 8, 12, and 20
Answer:
it is 4
Please Mark Brain list answer
Hope it helps you.
Answer:
4
Step-by-step explanation:
2 8 12 20
2 4 6 10
2 3 5
:2*2=4
Factor using GCF or monomialpfactoring:
w3 + 3w
w3(w + 3)
W(w2 + 3)
3W(1)
Answer:
w(w² + 3)
Step-by-step explanation:
Given the expression
w³ + 3w
Since w is common to the terms w³ and 3w, we will factor it out from the expression as shown;
w³ + 3w
w(w²)+ 3(w)
w(w² + 3)
This gives the required expression
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
What is the ft and in
Question is ;
Complete question is;
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
Which city accumulates more snow in 3 days? How much more snow?
Answer:
- Boston accumulates more snow in 3 days.
- It accumulates 0.6 ft of snow more than Boston
Step-by-step explanation:
Boston accumulates 1.5 feet of snow every 36 hours.
Number of hours in 3 days = 24 × 3 = 72 hours.
Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.
Now, Buffalo accumulates 0.01 inches of snow every minute.
In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes
Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches
Now, let's convert this to ft;
12 inches = 1ft
Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft
Thus, Buffalo accumulates more snow in 3 days.
It accumulates 0.6 ft of snow more than Boston
PLS HELP ILL PUT U AS BRAINLIST AND FOLLOW U
Answer:
76cm^2
Step-by-step explanation:
Can be divided in three parts
Part 1; Area= 6×2
=12cm^2
Part 2; Area= 2×2
=4cm^2
Part 3; Area= 10×6
=60cm^2
Add them; 60+4+12
76
Answer:
area 1
10x6
=60
area 2
2x4
=8
area 3
2x4
=8
total area is 60+8+8
total area is 76m²
What is the 50th term of the sequence that begins -6,0,6,12
a. 292
b. 288
c. 286
d. 290
Answer:
The 50th term of the sequence that begins with - 6 is 288.
Step-by-step explanation:
Definition of Arithmetic ProgressionAn arithmetic progression, also known as an arithmetic sequence, is a set of numbers in which the difference between successive terms remains constant. The sequence 5, 7, 9, 11, 13, 15,... is, for example, an arithmetic progression with a common difference of 2.
Formula -[tex]$a_{n}=a_{1}+(n-1) d$[/tex]
The given sequence is − 6, 0, 6, 12,It is in arithmetic progression as the common difference between all consecutive numbers is 6.
Let a1 be the first term and d be the common difference.
Therefore, a1 = - 6 and d = 6
For 50th term, a50 = a1 + (n - 1) d
= - 6 + (50 - 1) 6
= - 6 + 49 × 6
= - 6 + 294
= 288
Thus, the 50th term of the sequence is 288.
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Find the distance between the two points rounding to the nearest tenth (if necessary)
(8,7) and (1,-2)
Answer:
≈ 11.4
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (8, 7) and (x₂, y₂ ) = (1, - 2)
d = [tex]\sqrt{(1-8)^2+(-2-7)^2}[/tex]
= [tex]\sqrt{(-7)^2+(-9)^2}[/tex]
= [tex]\sqrt{49+81}[/tex]
= [tex]\sqrt{130}[/tex]
≈ 11.4 ( to the nearest tenth )
Toy cars cost $2. If Anna bought 4 toy cars and 5 toy airplanes and spent $38, how
much does a toy airplane cost?
Answer: A toy airplane costs $6
Step-by-step explanation: Because 4 toy cars cost $8 , then there are $30 for 5 toy planes. One toy plane cost 30/5 = $6
Andrea used 4 1/3 yards of material to make a dress she has 1 1/4 yards left over how much material did Andrea start with
Answer:
[tex]1\frac{7}{12}\quad[/tex] yards [tex]\left(\mathrm{Decimal:\quad }\:1.58333\dots \right)[/tex]
Step-by-step explanation:
To find how much Andrea started with, subtraction is needed. To subtract, we need to set up fractions;
[tex]4\frac{1}{3}-\frac{11}{4}[/tex]
Convert the mixed number to an improper fraction: [tex]a\frac{b}{c} = \frac{a \cdot c+b }{c}[/tex][tex]4\frac{1}{3}=\frac{4\cdot 3+1}{3}[/tex]
[tex]=\frac{13}{3}[/tex]
[tex]=\frac{13}{3}-\frac{11}{4}[/tex]
Least common multiplier: 3,4 = 12
Adjust fractions based on the LCM
[tex]=\frac{52}{12}-\frac{33}{12}[/tex]
Apply the fraction rule: [tex]\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]\frac{52}{12}-\frac{33}{12}=\frac{52-33}{12}[/tex]
[tex]=\frac{52-33}{12}[/tex]
Add the numbers: [tex]52-33=19[/tex]
[tex]=\frac{19}{12}[/tex]
Convert the improper fraction to mixed numbers: [tex]Quotient \frac{Remainder}{Divisor}[/tex][tex]\frac{19}{12}=1\frac{7}{12}[/tex]
[tex]=1\frac{7}{12}[/tex]
Therefore, Andrea started with [tex]1\frac{7}{12}[/tex] yard material.
which expression is equivalent to -3.5(4x - 3) ? And why?
2
4
5
3
help me find x
Answer:
Step-by-step explanation:
5x =2x+9(corresponding angles are always equal)
5x-2x=9
3x=9
x=9/3
x=3
help extra points really important to me
Answer:
a.7(6xy-2z)
=7*6xy-7*2z
=42xy-14z
b.5(2w+3)-6(w+2)
=5*2w+5*3-6*w-6*2
=10w+15-6w-12
=4w+3
c.2f(2f+g-3)
=2f*2f+2f*g-2f*3
=4f^2+2fg-6f
Step-by-step explanation:
Answer:
1) 42xy-14z
2) 10w + 15- 6w - 12 = 4w + 3
3) 4f^2+2fg-6f
Step-by-step explanation:
Hope this helps!
ASAP
What is the area of this composite figure?
150 mm
1
55 mm
210 mm
1
1
155 mm
Answer:
9,900 millimeters squared
Step-by-step explanation:
Hope that helped
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing
Answer:
1 inch = 3 feet
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
6 /2 = 3
1 in = 3 feet
Solve (4 - 5i)(-5 + i)
write answer in the form of a+bi
show all steps
1. There are two small rectangles in this picture that make one large rectangle. How
could
you
find the area of the large rectangle?
10
My thoughts/workspace
3
5
What is the area of the large rectangle?
units?
Answer:
Finding the area of a large rectangle is A = l × b
Step-by-step explanation:
A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,
Example: (a=lxb) + (a=lxb) = Area of big rectangle
(x+5)(x+1)+(x+5)(x+8)
Answer:
2x² + 19x + 45
Step-by-step explanation:
(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL
= x² + 6x + 5 + x² + 13x + 40 ← collect like terms
= 2x² + 19x + 45
The BEEEST answer will get brainliest. Also, I NEED HELP, I'm STUCK!
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
A.)(0.24, 0.48)
B.)(0.30, 0.42)
C.)(0.22, 0.50)
D.)(0.20, 0.52)
Answer:
(0.30, 0.42)
Step-by-step explanation:
i took the test :)
What is the range of the function in the graph?
Answer:
20 ≤ y ≤ 70
Step-by-step explanation:
Range is the possible outout values
20 ≤ y ≤ 70
what is the volume of this prism
NEED AN ANSWER BEFORE 2:40!!!
Factor
X^2 + 6x + 9
Please show all work and use a factor tree
Answer:
Step-by-step explanation:
X^2 and 9 are two squares, while 6 can be obtain my multiplying x and 3 by 2.
so this is a square of a binomial
(x+3)^2
or
(x+3)(x+3)
Answer:
(x+3)², if looking for x, X = -3
Step-by-step explanation:
X²+6x+9 is a perfect square as you immediately can see that 3+3 = 6 and 3*3 = 9.
I used the generic rectangle to solve it, 9 into top right corner and then x² onto the bottom left, multiplying eachother to get 9x² which is formed by 3x and 3x multiplied so you would have (x+3) (x+3).
I'll have a picture.
Re-write the quadratic function below in Standard Form
y = 9(x - 1)(x + 3)
1 1/8 x 2/3 x 2 = ? as a fraction
Answer:
11/8 × 2/3 × 2/1
= (11 × 2 × 2)/(8 × 3)
= 44/24 = 11/6
PLEASE HELP. LOTS OF POINTS
Consider the function y=x + 28.3.
Based on the equation, is the function linear? Explain.
Determine the points on the graph of the function when I is 0, 1, 2, 3, and 4. Show your work.
Do these points support your answer to PartA? Explain.
Jeanne claims that an equation of the form y=x^n + 28.3, where n is a whole number, represents a nonlinear function. Describe all values of n for which Jeanne's claim is true and all values of n for which Jeanne's claim is false. Explain
Answer: I need help on this did you ever find the answer
Step-by-step explanation:
Which country would be the BEST trading partner for all three countries in the table?
A.
a country with a high demand for oil
B.
a country that specializes in producing oil
C.
a country with a high demand for automobiles
D.
a country that specializes in producing automobiles
Answer:a
Step-by-step explanation:
I’m pretty sure it’s A
The best trading partner for a country depends on complementary resources and needs, and a country that specializes in producing the goods that another country has a high demand for can be a good trading partner.
What is the trading partner?A trading partner is a nation or other organization with which another nation conducts trade, frequently through the exchange of products and services, in the context of international trade. Trading partners can be crucial for a nation's economy since they open up doors to new markets, boost exports, and create chances for expansion.
A good trading partner should have resources and needs that are compatible with those of other nations. A nation that excels in producing oil, for instance, would be a suitable trading partner for nations that have a strong need for oil but may not be able to supply it itself.
Similarly to this, a nation that specializes in manufacturing cars would make an excellent trading partner for nations that have a strong demand for cars but might not be able to create them on their own.
These findings suggest that choices A and C are less likely to be the greatest trading partners for all three countries since they only take into account the requirements of one or two of them.
A country in Option B, which specializes in oil production, might make an excellent trading partner for nations with significant oil demand.
Option D, a nation that specializes in manufacturing cars, might make an excellent trading partner for nations with a high demand for cars.
It is challenging to decide which choice would be the ideal trading partner for all three countries without more details about the unique needs and resources of the nations on the table.
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how do ratios work. is there trick you can use to do very ratio
Answer:
[tex]\frac{5}{8} :\frac{y}{24}[/tex]
Cross multiply.
y × 8 = 24 × 5
Simplify.
8y = 120
Divide each side by 8.
8y ÷ 8 = 120 ÷ 8
Simplify.
y = 15
[tex]\frac{6}{8} :\frac{y}{24}[/tex]
You can simplify 6/8.
[tex]\frac{3}{4} :\frac{y}{24}[/tex]
Cross multiply.
y × 4 = 3 · 24
Simplify.
4y = 72
Divide each side by 4.
4y ÷ 4 = 72 ÷ 4
Simplify.
y = 18