Answers
ANSWER
x=100,y=10
EXPLANATION
The given logarithmic equations are;
[tex] log_{10}( {x}^{2} {y}^{3} ) = 7[/tex]
This implies that,
[tex] {x}^{2} {y}^{3} = {10}^{7} ...(1)[/tex]
and
[tex] log_{10}( \frac{x}{y} ) = 1[/tex]
This implies that,
[tex] \frac{x}{y} = {10}^{1} [/tex]
[tex]x = 10y...(2)[/tex]
Put equation (2) into equation (1)
[tex]{(10y)}^{2} {y}^{3} = {10}^{7}[/tex]
[tex]10 ^{2} y^{2} {y}^{3} = {10}^{7}[/tex]
[tex]{y}^{5} = {10}^{5}[/tex]
Hence y=10.
This implies
[tex]x = 10(10) = 100[/tex]
Related Questions
The number 15. 24 is an example of a repeating decimal.
true. false.
Answers
No, the number 15.24 is not a repeating decimal.
Explanation:No, the number 15.24 is not an example of a repeating decimal.
A repeating decimal is a number whose decimal representation goes on forever and repeats a block of one or more digits. For example, the number 0.3333... is a repeating decimal because the digit 3 repeats infinitely.
In the case of 15.24, the decimal representation terminates after two decimal places.
This is because it has a fixed and finite decimal representation. The digits "15" represent the whole number part, and the "24" represents the fractional part. Since there is no repeating pattern of digits after the decimal point, 15.24 is classified as a terminating decimal, not a repeating one.
Therefore, it is not a repeating decimal.
1/3 b = 5/4 . Which of the following equals b in this equation? A. 2 2/5 B. 1 1/8 C. 2/5 D. 1/4
Answers
Answer:
Step-by-step explanation:
Multiplying both sides of this equation by 3/1 will isolate b:
(3/1)(1/3)b = (3/1)(5/4) = 15/4 or 3 3/4.
Answer:
15/4
Step-by-step explanation:
Ok so the equation we have is:
[tex]\frac{1}{3} b = \frac{5}{4}[/tex]
Now we can multiply both sides by 3
[tex]1b = 15/4[/tex]
[tex]\frac{15}{4}[/tex]
How many gallons of 20% salt solution must be mixed with 4 gallons of 40% salt solution to make 25% salt solution?
Answers
If [tex]x[/tex] is the amount (gal) of the 20% solution to be used, then the mixture would have a total volume of [tex]x+4[/tex] gal. We want to end up with a 25% salt solution, so that
[tex]0.2x+0.4\cdot4=0.25(x+4)[/tex]
[tex]\implies0.2x+1.6=0.25x+1[/tex]
[tex]\implies0.6=0.05x[/tex]
[tex]\implies x=12[/tex]
John scored 48, 59, and 62 points. His average score was 60%. What was the last score to make it average?
91
26
78
71
Answers
Answer:
Hello! Your answer is 71.
Step-by-step explanation:
(48+59+62+71) =240
240 ÷ 4 = 60.
The 4 is the four different points he got.
The 60 is the average percent.
HOPE THIS HELPS!
48+59+62+x / 4=60
169+x / 4=60
169+x=60×4
169+x=240
x=240-169
x=71
This is the answer
hope you understand
The form he builds is 35 1/2 inches long, 20 inches deep, and 6 inches high. How much cement is neede to fill the form
Answers
Answer:
4260 square inches
Step-by-step explanation:
35.5 times 20 times 6 is 4260
Plz help me with this
Answers
Answer: B) rate of change of f(x) > rate of change of g(x)
Step-by-step explanation:
f(x) = 2ˣ
f(2) = 2² = 4 --> (2, 4)
f(3) = 2³ = 8 --> (3, 8)
rate of change (aka slope) of f(x):
[tex]\dfrac{8-4}{3-2}=\dfrac{4}{1}=\large\boxed{4}[/tex]
g(x) = 2x (graph)
g(2) = 4
g(3) = 6
rate of change (aka slope) of g(x):
[tex]\dfrac{6-4}{3-2}=\dfrac{2}{1}=\large\boxed{2}[/tex]
Which of the following has the same value as C(10, 3)? P(10, 3) C(10, 7) C(9, 6)
Answers
Answer: second one P(10,3)?
Step-by-step explanation:
Answer:
The Answer is C(10,7) Just did it on my homework
Step-by-step explanation:
At A Sale, Sarah Bought 4 T-shirts And 3 Pairs Of Jeans For $181. Jenna Bought 1 T-shirt and 2 Pairs Of Jeans For $94. The T-shirts Were All The Same Price And The Jeans Were All The Same Price, So The Following system of Equations Represents This Situation. Determine The Best Method To Solve The System of Equations of Equations. Then Solve The System.
Answers
The T-shirts are $16 each while the jeans are $39 each Hope it helps
Find the length of side ab.
Answers
Answer:
41
Step-by-step explanation:
First, set up the equation (2x+5) + (3x-2)+(3x)+(x)= 57. Add all of the sides together and solve for x. Next, plug in x to 2x+5, and you have your answer. I hope this helps
Please help with this math question will give BRAINLIEST and 10 points
Answers
I got B for the answers
Answer:
( 3 × 2 ) × 7
Step-by-step explanation:
To find the volume of a rectangular prism you have to do
Length × Width × Height
3 × 2 × 7 = 42 yd³
Which statements are true about box plots? Check all that apply. They help describe sets of data. They include the mean. They show the data split into four parts. They show outliers through really short “whiskers.” Each section of a box plot represents 25% of the data.
Answers
Answer:
Step-by-step explanation:
a c e
is the answer
Answer:
a c e the one above me is ri
Step-by-step explanation:
SHOW YOUR WORK
A quadratic equation is shown below:
3x2 − 11x + 10= 0
Part A: Find the vertex. Show your work.
Part B: Solve for x using an appropriate method. SHOW THE STEPS OF YOUR WORK.
Answers
Answer: x=-16/11
6+11x+10=0
We add all the numbers together, and all the variables
11x+16=0
We move all terms containing x to the left, all other terms to the right
11x=-16
x=-16/11
Answer:
Vertex:
Roots: [tex]x=\frac{5}{3}[/tex] or [tex]x=2[/tex]
Step-by-step explanation:
The given quadratic equation is:
Let [tex]f(x)=3x^2-11x+10[/tex]
We obtain the vertex form by completing the square;
[tex]f(x)=3(x^2-\frac{11}{3}x)+10[/tex]
Add and subtract the square of half the coefficient of x.
[tex]f(x)=3(x^2-\frac{11}{3}x+(-\frac{11}{6})^2+10-3(-\frac{11}{6})^2)[/tex]
This simplifies to
[tex]f(x)=3(x-\frac{11}{6})^2-\frac{1}{12}[/tex]
Hence the vertex is [tex](\frac{11}{6},-\frac{1}{12})[/tex]
We now solve to obtain:
[tex]3(x-\frac{11}{6})^2-\frac{1}{12}=0[/tex]
[tex]3(x-\frac{11}{6})^2=\frac{1}{12})[/tex]
[tex](x-\frac{11}{6})^2=\frac{1}{36})[/tex]
[tex](x-\frac{11}{6})=\pm \sqrt{\frac{1}{36}}[/tex]
[tex]x=\frac{11}{6}\pm \frac{1}{6}[/tex]
[tex]x=\frac{5}{3}[/tex] or [tex]x=2[/tex]
3. Consider the following box plot.
(a) Find the interquartile range.
(b) What percent of values is included in the interquartile range?
Answers
Answer:
A) 2.5
B) 50% of the values.
Step-by-step explanation:
A)
The range of data starts at 2.0 and ends at 4.5 (i know it's a bit hard to tell lol), by subtracting 2.0 from 4.5 you get the interquartile range, 2.5.
B)
25% of the values are mentioned in the box plot before the median, and 25% of the values are mentioned after the median in the box plot. This together gives you a sum of 50% of the values. Another way to do it is that outside of the interquartile range is 50% of the values.
Can anyone help me with this.
Answers
Answer:
a) third; from left most graph
b) fourth; right most graph
Step-by-step explanation:
Part a)
The graph is between the speed and time.
Nicole begin jogging faster and faster i.e. speed is increasing w.r.t time thus we have linear line in beginning.
Then she hits a comfortable speed and stayed at it i.e. speed remained constant for that time. Thus we have a straight line.
After that she gradually slows down,i.e speed is decreasing w.r.t time. Thus we have decreasing linear line.
So the graph shape is linear line with increasing slope-a constant straight line-linear line with decreasing slope
which is the third; from left most graph in option
Part b)
The graph is between Distance to campus and time.
As Dale is hiking towards campus, distance should decrease w.r.t time.
In beginning, he is hiking at constant speed towards campus thus the distance towards the campus is decreasing w.r.t time. We get a decreasing linear line.
*Note: here constant speed is not important, instead hiking towards i.e. the direction is important because of the campus distance covered
Then he sees a snake and turn and runs the other way. Thus now the distance towards the campus is increasing. And we get increasing linear line.
*Note running other way is important because of the campus distance covered
After that, he sits for a while i.e he stops and so the distance towards campus also become constant w.r.t time. we get a straight line on the graph.
So the graph shape is linear line with decreasing slope-linear line with increasing slope-a constant straight line
which is the right-most graph in option !
Can you help me with this word problem?
Answers
Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
help me with this one
Answers
Answer: IM pretty sure its A
Step-by-step explanation: Thanks for being Brain member help.
given the table of values below, which of the following ordered pairs are found on the graph of the inverse function?
Answers
Answer:
Option A. is the correct option.
Step-by-step explanation:
As per table given in this question values of the function has been given as
f(x) = -3 for x = -2
We can rewrite the function as f(-2) = -3
As we know inverse of the function means [tex]-2 = f^{-1}(-3)[/tex]
or inverse function g(-3) = -2
and the ordered pair for the inverse function will be (-3, -2)
Similarly other ordered pairs for the inverse function given will be
(3, -1), (9, 0), (15, 1), (21, 2)
Therefore, the ordered pairs will be (-3, -2), (3, -1), (9, 0), (15, 1), (21, 2)
Option A is the right option.
Which figures can have two sides of the same length, but are not parallelograms?
quadrilateral
rectangle
square
isosceles trapezoid
Multiple Choice Question
Answers
Answer:
Isosceles trapezoid.
Step-by-step explanation:
That would be an isosceles trapezoid. The 2 non-parallel sides are equal.
Answer:
isosceles trapezoid
rectangle
Liza finished studying at half past 3. What time did Liza finish studying?
Answers
3:30
Half past means 30 min after
Hope this helped!
Liza finished studying at 3:30
Please help with this question
Answers
Answer:
90-73=17
the correct answer is 17
For this case we must find the angle "x" of the figure shown.
If we look at the figure, we have to:
AC equals 90 degrees.
So we have to:
[tex]73 + x = 90[/tex]
We clear the value of "x":
[tex]x = 90-73\\x = 17[/tex]
Thus, the value of "x" is 17 degrees.
Answer:
17 degrees
Option A
If m is a prime number, list all factors of m×m.
Answers
For a prime number m, the only factors of m x m would be 1, m, and [tex]m^2[/tex]
If m is a prime number, the factors of m would be 1 and m itself since prime numbers have no divisors other than 1 and themselves. When you calculate m x m which is [tex]m^2[/tex], the factors list expands slightly but remains quite simple due to the nature of prime numbers.
1 (1 can divide any number)m (since m is a prime and can divide its square)[tex]m^2[/tex] (the square of the prime number is a factor of itself)Those would be all the factors of [tex]m^2[/tex] when m is a prime number.
What is slope intercept form
Answers
Answer:
y = mx+b
Step-by-step explanation:
Answer:
y = mx +b
Step-by-step explanation:
m=slope
b=y-intercept
What should be done to x^2+ 15x in order to create a perfect square?
Answers
Answer:
Add 225/4 to x^2 + 15x.
Step-by-step explanation:
Take the coefficient of the middle term, 15.
Now divide it by 2, 15/2.
Square that, 225/4.
Add 225/4 to x^2 + 15x.
To create a perfect square, add 225/4 in the quadratic function x²+ 15x.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic function:
= x²+ 15x
To create a perfect square, add and subtract by 225/4
= x²+ 15x + 225/4 - 225/4
= x²+ 15x + 15²/2² - 225/4
= (x + 15/2)² - 225/4
Thus, to create a perfect square, add 225/4 in the quadratic function x²+ 15x.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ2
NEED HELP FAST!!!!!!!
Answers
Answer:
A. [tex]C=K-273[/tex]
Step-by-step explanation:
You are given the formula
[tex]K=C+273[/tex]
You have to find C in terms of K. Subtract 273 from both sides of this equation:
[tex]K-273=C+273-273\\ \\K-273=C\\ \\C=K-273[/tex]
ANSWER
C=K-273
EXPLANATION
The given formula is: K=C+273
We need to solve this formula for the variable, C.
This means that we need to isolate the variable C on one side of the equation, leaving any other terms on the other side of the equation.
We subtract 273 from both sides of the equation to obtain,
K-273=C
This is the same as
C=C-273
Which of the following is a correct interpretation of the expression 2 + 7?
Choose 1 answer:
(A)
The number that is 2 to the left of - 7 on the number line
i on the number line
(c)
The number that is T to the left of 2 on the number line
(D). The number that is 7 to the right of 2 on the number line
Answers
Answer:
(D). The number that is 7 to the right of 2 on the number line
Step-by-step explanation:
It could also be the number that is 2 to the right of 7 on the number line. When numbers are added, the distances of each to the origin are laid end-to-end from the origin to the right on the number line.
2+7 can mean that the distance 2 is added to the distance 7, or vice versa. (The commutative property of addition says order does not matter.)
Answer: D is right, not lying
Step-by-step explanation:
identify the amplitude of the graph
Answers
ANSWER
The amplitude is 1.6
EXPLANATION
The amplitude is half of the highest value minus the least values.
The highest value on the graph also occurs at 0, which is 5.20
The least value is 2
The amplitude is
[tex] = \frac{5.20-2}{2} = 1.6[/tex]
Therefore the amplitude is 1.6
Simplify (4x + 12) - (6x - 18)
Answers
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-12-(6*x-18)=0
Step-by-step explanation:
Pull out like factors :
-2x + 6 = -2 • (x - 3)
Hello there!
Start by removing the parenthesis combining like terms.
(4x + 12) - (6x - 18)
4x + 12 - 6x - 18
4x - 6x + 12 - 18
Next, simplify.
-2x + 12 - 18
-2x - 6
This is the final answer and it cannot be simplified any further, I hope this was helpful!
THIS IS 61 POINTS. Find the first three terms of the sequence described by the following recursive formula: an = 3an – 1 + 2 where a4 = 20
a1=
a2=
a3=
Answers
Answer:
see explanation
Step-by-step explanation:
Given the recursive formula
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] + 2 and a₄ = 20
Then working in reverse
3a₃ + 2 = 20 ( subtract 2 from both sides )
3a₃ = 18 ( divide both sides by 3 )
a₃ = 6
3a₂ + 2 = 6 ( subtract 2 from both sides )
3a₂ = 4 ( divide both sides by 3 )
a₂ = [tex]\frac{4}{3}[/tex]
3a₁ + 2 = [tex]\frac{4}{3}[/tex] ( subtract 2 from both sides )
3a₁ = - [tex]\frac{2}{3}[/tex] ( divide both sides by 3 )
a₁ = - [tex]\frac{2}{9}[/tex]
Hence
a₁ = - [tex]\frac{2}{9}[/tex]
a₂ = [tex]\frac{4}{3}[/tex]
a₃ = 6
a1 = (-2/9)
a2 = 4/3
a3 = 6
Hope this helps!
hurry nowwwwwww which inequality and soulition represent the following situation? when 4 is subtracted from 10 times a number the result is greater than 1.5
A)10b-4>1.5;>-0.25
B)4-10b<0.25
C)10b-4>1.5;b>0.55
D)4-10b>1.5b;>0.25
Answers
2/3(1/4x—2)=1/5(4/3x—1)
Answers
Answer:
I got 15 and 1/3.