Answer:
x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z
Step-by-step explanation:
Solve for x:
2 sqrt(2) = 4^x
Hint: | Reverse the equality in 2 sqrt(2) = 4^x in order to isolate x to the left hand side.
2 sqrt(2) = 4^x is equivalent to 4^x = 2 sqrt(2):
4^x = 2 sqrt(2)
Hint: | Eliminate the exponential from the left hand side.
Take the logarithm base 4 of both sides:
Answer:x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z
please help
Evaluate.
−[5.8−3(3.2)](−0.2)2+3
What is the value of the expression?
Enter your answer as a decimal in the box.
The value of the expression expressed as a decimal is -92.0
Given the expression
\(\frac{-|5.8-3(3.2)|}{0.2^2} + 3\)
Expand the denominator and the numerator:
\(=\frac{-|5.8-9.6|}{0.04} + 3\\=\frac{-|-3.8|}{0.04} + 3\\= \frac{-3.8}{0.04} + 3\\= -95 + 3= -92.0\)
Hence the value of the expression expressed as a decimal is -92.0
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Answer:
-92.0
Step-by-step explanation:
Got it right on my quiz
The function f(x) = −23x + 4 represents the average number of teacher absences due to illness, f(x), when the school uses x bottles of hand sanitizer per month. What is a reasonable domain for the function in this situation?
A. x ≤ 6
B. 0 ≤ x ≤ 6
C. 0 ≤ x ≤ 4
D. all real numbers
The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6
How to determine the domain of the function?In this question, we have:
Function, f(x) = -2/3x + 4
Where
x is the bottles of hand sanitizer per month
The function f(x) cannot be less than 0
So, we have
-2/3x + 4 = 0
This gives
-2/3x = -4
Solve for x
x = 6
This means that x cannot exceed 6
Hence, the domain is (b) . 0 ≤ x ≤ 6
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The height of a triangle is 4 ft less than the base x. The area is 126ft^2 find the dimensions of the triangle
The dimension of the triangle are base = 18 ft , height = 14 ft .
The area of a triangle is defined as the total area bounded by the three sides of a given triangle. It's basically equal to half the base multiplied by the height which is given by \(A=\frac{1}{2} \times b \times h\) ..(1)It is given that height of a triangle is 4 ft less than the base x which can be represented as height = x - 4 ....(2) and base = x
Putting above values in equation (1) , we get
\(126=\frac{1}{2} \times(x-4)\times x\\252=x(x-4)\\252=x^2-4x\\x^2-4x-252=0\)
On factorizing , we get
\(x^2-(18x-14x)-252=0\\(x^2-18x)+(14x-252)=0\\x(x-18)+14(x-18)=0\\(x+14)(x-18)=0\)
On equating it with zero , we get
\(x+14=0\\x=-14\)
as length cannot be in negative so , we will not consider this solution.
\(x-18=0\\x=18\)
Using equation (2)
Height will be = 18 - 4 = 14 ft.
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Evaluate.
(a – 2013
when a =
— 3 ana b = -1
3 6
2
Enter your answer in the box.
-27
Solution:
\( \\ (a - 2b) ^{3} \)
\( \\ ( - 3 - 2 \times \frac{ - 1}{2} ) ^{3} \)
\( \\ = (- 3 + 1) ^{3} \)
\( \\ = ( - 2) ^{3} \)
\( \\ = ( - 2)( - 2)( - 2)\)
\( \\ = - 8\)
Answer:
\( \\ {\boxed{ - 8}}\)
♦♦♦♦Hope it helps♦♦♦♦
please mark this answer as brainlist
Evaluate x + y when x=-87 and y = 34.
-121
-53
53
121
The value of x + y = - 53
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
The value of x = - 87
The value of y = 34
The equation x + y is calculated by substituting the values of x and y in the equation ,
Therefore , x + y = ( - 87 ) + 34
= -53
Hence , the value of x + y is equal to - 53
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1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? Explain your reasoning
Answer:
Below
Step-by-step explanation:
If they each walk in straight lines to the school Lin is closer than Elena
so Lin walks 500 ft and Elena walks 500 yards ( which is 1500 ft)
Question 2
What is the lateral surface area of the triangular prism with the given net?
Select one:
15
9
5
12
9
9
8
8
B
8
10
Answer:
the answer is B) 24.
Step-by-step explanation:
To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.
Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:
3 cm + 4 cm + 5 cm = 12 cm
The height of the prism is given as 2 cm. Therefore, the lateral surface area is:
12 cm x 2 cm = 24 cm²
So the answer is B) 24.
IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you
trying to find the arc length of the arc for the polar curve r=8cosθ between 0 and π4
Answer:
Step-by-step explanation:
To find the arc length of the polar curve r = 8cosθ between 0 and π/4, we can use the formula for arc length:
L = ∫a^b √(r^2 + (dr/dθ)^2) dθ
Substituting in the values for r and dθ, we get:
L = ∫0^(π/4) √(8^2cos^2θ + (-8sinθ)^2) dθ
= ∫0^(π/4) √(64cos^2θ + 64sin^2θ) dθ
= ∫0^(π/4) √(64) dθ
= ∫0^(π/4) 8 dθ
= 8(π/4 - 0)
= 8π/4
= 2π
Therefore, the arc length of the polar curve r = 8cosθ between 0 and π/4 is 2π.
If the prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5, what would you need to multiply it by to get the prime factorization of 3000?
To get the Prime factorization of 3000 we need to multiply by 5.
What is Prime Factorization:When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.
For example, the Prime factorization of 45 is given below
=> 45/5 = 9, 9/3 = 3, 3/3 = 1
=> 45 = 5 × 3 × 3
Here we have
The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5
Let us assume that on multiplying with p,
we will get the factorization of 3000
=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000
=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)
Her 2 x 2 × 2 × 3 × 5 × 5 = 600
=> p = \(\frac{3000}{600}\)
=> p = 5
Therefore,
To get the Prime factorization of 3000 we need to multiply by 5.
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TC= 0.0001Q^2-0.02Q+5+500Q
Answer: 0
.
0
0
0
1
2
−
0
.
0
2
+
5
+
5
0
0
Step-by-step explanation:
Which is equivalent to 3/84"?
Answer:
\(\sqrt[12]{8} ^x\)
Step-by-step explanation:
\(3 / \frac{1}{4} = 12\)
Graph the solution set of the following linear equation
2x+2y<-6
Graph the inequality by finding the boundary line, then shading the appropriate area.
y < −x −3
Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answer:
Step-by-step explanation:
Name 3 planes that intersect at point O
Al chile no se wey, buscale en otro lado
Allie had four and three-fourths tubes of purple paint. She used two and one-fourth tubes. Later, she found three and three-eighths more tubes. How many tubes of purple paint does she have now?
five and thirteen over twenty-four tubes
five and nine over twenty-four tubes
five and seven over eight tubes
five and one over eight tubes
By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.
How many tubes of purple paint does she have now?We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.
So at this point we need to take the difference between the two mixed numbers, we will get:
(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)
(4 - 2) + (3/4 - 1/4) = 2 + 2/4
2 + 2/4 = 2 + 1/2
Then she founds (3 + 3/8) more. Now we need to add that:
2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)
(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)
5 + (4/8 + 3/8) = 5 + 7/8
She has 5 + 7/8 tubes of purple paint.
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WILL GIVE BRAINLIEST
Answer:
\(\frac{y}{8}\)
Step-by-step explanation:
quotient means division
the / means divide
Answer:
y/8
Step-by-step explanation:
quotient means divide, so y divided by 8, or y/8
9 cm
7 cm
7 cm
7 cm
The area of one of the bases of the above figure is about 21.2 cm2. The
surface area of the figure is?
A. 273.4 cm2
B. 210.4 cm2
C. 231.4 cm2
D. none of the above
Answer:
d
Step-by-step explanation:
none of the above mhhmm
Answer:
the answer to the question is 231.4 cm^2
Step-by-step explanation:
just got it wrong
Which of the following would be a solution to the system of inequalities below?
A (3, 2)
B (3, 5)
C (3, 0)
D (3, -1)
Please help meee!!!!
Step-by-step explanation:
I answered that already.
Simplify 12.856677878
Answer:
12.86
Step-by-step explanation:
this is rounded to the nearest hundredth
Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times
Natalie's age, the result is 76. Write and solve a system of equations to find how old Fred and
Natalie are.
Answer:
Fred is 28 yrs old. Nathalie is 12yrs old
Step-by-step explanation:
Let Nathalie's age be x
Let Fred's age be a
x+a=40 yrs•••••1
4x+a=76yrs•••••2
a=40-x
Substitute a for 40-x in equation (2)
4x+40-x=76
3x=76-40
3x=36
x=12
a=40-12
a=28
what is the supplement of 4 degrees
Answer:
176
Step-by-step explanation:
Supplementary angles add up to 180 degrees. So we have 176 as our answer :)
Need help ASAP due in 7 minutes
Will make you brainlist
Answer:
A
Step-by-step explanation:
A is the only answer with ordered pairs that have a consistent rate of change, -1/3
X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
Dooren can type 2 pages of her report in 5 minutes. At this rate, how many pages could she type in half an hour?
Answer:
60 pages
Step-by-step explanation:
2pages = 5min
30 x 2 = 60
Therefore, in half an hour Doreen can type 60 pages
Please help I’ll upvote your work
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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Deandre's chocolate bar is 53% cocoa. If the weight of the chocolate bar is 69 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
The grams of cocoa does it contains is 36.57 grams
How many grams of cocoa does it contains?From the question, we have the following parameters that can be used in our computation:
Weight of the chocolate bar = 69
Proportion = 53%
This implies that
Grams of cocoa = weight of the chocolate bar * Proportion
Substitute the known values in the above equation, so, we have the following representation
Grams of cocoa = 53% * 69
Evaluate the products
Grams of cocoa = 36.57
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Tickets for a school play cost $6.00 each. Simoom sold 8 tickets to her mother, then sold x tickets to her aunt. How much money did Simoom collect for the tickets
Answer:
48 + 6x
Step-by-step explanation:
I hope this is right...
Since she already sold 8 tickets, 8x6 is 48.
Then, she sold x tickets to her aunt so it is 6x.