If [tex]log_3(x^2)=4[/tex], then that means [tex]3^4=x^2[/tex], so [tex]x=9[/tex].
If [tex]log_2(y^3)=6[/tex], then that means [tex]2^6 = y^3[/tex], so [tex]y=4[/tex].
[tex]log_b(x)+log_b(y)=log_b(x\cdot y) = log_b(36)[/tex]
so, the last statement is equivalent to [tex]log_b(36) = \frac{1}{2}[/tex] or [tex]b^{1/2}=36[/tex].
This means that [tex]b=36^2 = 1296[/tex].
I'm on board with your answer.
If it had been [tex]log_b(x)+log_b(y)=2[/tex], then [tex]b=6[/tex] would have been correct.
Amelia purchased an artwork for $1500 as an investment. At the end of each year its value is 1.01 times its value at the beginning of the year. Its value t years after purchase is given by V=A×1.01t.
What is the value of A?
The value of A from the equation is given by A = V ÷ ( 1.01 t )
The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
The word equation and its cognates can have slightly different meanings in different languages.For instance, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign, whereas in French, an equation is defined as containing one or more variables. The first step in resolving a variable equation is to identify the values of the variables that lead to equality. The equation's solutions are the values of the unknown variables that satisfy the equality, which are often referred to as the variables for which the equation must be solved.The given equation is of the form V = A × 1.01t
V = A × 1.01t
or, A = V ÷ ( 1.01 t )
Therefore the value of A from the equation is V ÷ ( 1.01 t ) .
The value of A from the equation is V ÷ ( 1.01 t ) .
To learn more about equation visit:
https://brainly.com/question/1566730
#SPJ1
PLEASE HELP ASAP FOR 20 POINTS
Answer: 2/3
Step-by-step explanation:
2/9+4/9
6/9
(2 * 3)/(3 * 3)
2/3
What are fractions?
A fraction is a mathematical representation of anything made up of several parts. Knowing how to use operations such as addition, subtraction, multiplication and division to operate them is one of the most useful math skills in everyday situations and provides an important foundation for other math concepts you will encounter.
If this helped you please mark this answer as the brainliest thank you!
Malik went to the store to buy some apples. The price per pound of the apples is $5.50 per pound and he has a coupon for $2.25 off the final amount. With the coupon, how much would Malik have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
PLEASE PLEASE PLEASE HURRY NO BAD ANSWERS
The amount that Malik have to pay to buy 5 pounds of apples is $25.
The expression for the cost to buy p pounds of apples, assuming one pound is purchased is 5.50p - 2.25.
What is an expression?An expression simply consists of one or more numbers that are along the operation that is given. An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.
In this case, the price per pound of the apples is $5.50 per pound and he has a coupon for $2.25 off the final amount.
The amount to amount that Malik have to pay to buy 5 pounds of apples will be:
= 5.50p - 2.25.
where P = number of pounds
p = 5
This will be:
= 5.50p - 2.5
= 5.5(5) - 2.5
= 27.5 - 2.5
= 25
The amount paid is $25.
Learn more about expressions on:
brainly.com/question/1859113
#SPJ1
Juan read 300 pages in 5 days. which reading rate is equivalent?
A. 150 in 3 days B. 120 in 2 days
C. 105 in 1 day D. 100 in 3 days
Answer:
120 in 2 days
Step-by-step explanation:
Juan read 300 pages in 5 days. which reading rate is equivalent?
Juan reads 300/5 = 60 pages a day.
A. 150 in 3 days 150/3 = 50 pages a day
B. 120 in 2 days 120/2 = 60 pages a day
C. 105 in 1 day 105/1 = 105 pages a day
D. 100 in 3 days 100/3 = 33.33 pages a day
6. In Naleeyah's favorite video game, Coin Collector, she earns 24 points for every 8 coins she
finds. In the first level. Naleeyah found 30 coins. How many points did she earn in the first
level?
Answer: 6 points
Step-by-step explanation:
add 24 plus 8
you should get the total of 192
after that
divide 30 divided by 8
you should get the answer of 6
now you need to add 24 plus 6 and you will get the sum of 30
7. K Corporation sells 4 times as many GE dishwashers as Wallace Company. The difference
between their sales is 180 dishwashers. How many GE dishwashers did each sell?
Number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.
As given in the question,
Let x be the number of dishwasher sell by K Corporation
And y be the number of dishwasher sell by Wallace Company
K Corporation sells 4 times GE dishwashers as compare to Wallace Company.
x = 4y ___(1)
Difference between sells of K Corporation and Wallace Company
x - y = 180 __(2)
Substitute the value of (1) in (2)
4y - y =180
⇒ 3y = 180
⇒ y = 60
Hence, x = 4 ×60
= 240
Therefore, number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.
Learn more about sell here
brainly.com/question/22521384
#SPJ1
1. A gardener is creating a circular flower
bed with a diameter of 10 feet in his yard. A
flexible rubber border material will be used
to go around the flower bed. How many feet
of the border material will be needed?
a. 5π feet
b. 25π feet
c. 10π feet
d. 100 feet
10π feet of the border material will be needed to go around the flower bed
What is Circumference of the circle?Circumference of the circle: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure
it is given in the question that a gardener is creating a circular flower bed with a diameter of 10 feet in his yard.
which means diameter, d=10 feet
A flexible rubber border material will be used to go around the flower bed
we need to find the circumference of the circle in order to find how many feet of the border material will be needed
Circumference of the circle= 2πr (if radius is given)
= πd (if diameter is given)
(but we know diameter=2radius)
substitute the given values in the circumference formula,
which is equal to = π(10)
= 10π feet
10π feet of the border material will be needed to go around the flower bed
Option c is correct
to learn more about circumference of the circle visit:
brainly.com/question/17009295
#SPJ1
Given f(x)=-2x+5, find f (-1)
Answer:
3
Step-by-step explanation:
Plug -1 into the function f(x):
[tex]f(x)=-2x+5 \\f(-1)= (2)(-1) + 5[/tex]
And solve:
[tex]f(-1)=-2+5 \\f(-1) = 3[/tex]
So, f(-1) is 3.
Pablo has 300 more dollars than Al. This is also four times as much as money as Al has. How
much money does Al have?
Pls help I’ll give Brainliest :)
Answer:
B. 5.5 batches
Step-by-step explanation:
22 oz / 4 = 5.5
Jenny is making jewelry craft kits. She purchases 3 bags of each color band. She divides the total number of bands equally into 4 kits. How many bands are in each kit?
Answer:
12
Step-by-step explanation:
Given:
3 bags of each color band
4 kits
To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.
Find the greatest common factor of 3 and 4:
factors of 3 = 1,3,6,9,12,15,18,21,24....
factors of 4 = 1,2,4,8,12,16,20,24...
How many bands are in each kit?
12 or any other number that is a factor of both 3 and 4 such as 24,..etc.
Select all (there are more than one) that are solutions to the system of linear inequalities graphed below:
The solutions are all the points inside the shaded region:
(1, 0.5) , (2,-1) and (2.5, -2)
select the equation that contains the points (-1,-8) and (3,4)
it would help if we were given the equations to choose from ^^'
Answer:
y = 3x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 8 ) and (x₂, y₂ ) = (3, 4 )
m = [tex]\frac{4-(-8)}{3-(-1)}[/tex] = [tex]\frac{4+8}{3+1}[/tex] = [tex]\frac{12}{4}[/tex] = 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (3, 4 ) , then
4 = 9 + c ⇒ c = 4 - 9 = - 5
y = 3x - 5 ← equation containing the 2 points
I don’t know how to answer this question are when I dilate it across the origin where it’s supposed to go
Answer:
I think the answer is (-6,2)
Write an equation with a variable on both sides of the equal sign that has indefinitely many solutions. Solve the equation and explain why it has an infinite number of solutions
Answer:
See below
Step-by-step explanation:
Many answers 3x + 2 = 2x + x + 2
combine like terms
3x + 2 = 3x + 2 Subtract 3x from both sides
2 = 2
This means that there are infinite solutions. Any number that I replace x with will make a true statement.
Lett's say x = 5
3x + 2 = 2x + x + 2
3(5) + 2 = 2(5) + 5 + 2
15 + 2 = 10 + 5 + 2
17 = 17
What if we try 10?
3x + 2 = 2x + x + 2
3(10) + 2 = 2(10) + 10 + 2
30 + 2 = 20 + 10 + 2
32 = 32
When I combine the like terms the left side looks just like the right side.
3x + 2 = 2x + x + 2
3x + 2 = 3x + 2. Any number that I put in for x will work.
cos 5 pye/6
I need to figure this out for trig class
The value of the trigonometry ratio cos π/6 is √3/2 or approximately 0.87 .
Triangle side angle and length relationships are investigated in the area of mathematics known as trigonometry.
The use of geometry in astronomical studies gave rise to the field in the Hellenistic era in the third century BC. Greek mathematicians focused on chord calculation, whereas Indian mathematicians created the earliest tables containing values for trigonometric ratios (also known as trigonometric functions), such as sine.Historically, geodesy, surveying, celestial mechanics, and navigation have all used trigonometry.Trigonometric expressions are typically recast using these identities to decrease an expression, create a more usable version of an expression, or solve an equation.From the properties of trigonometry we know that :
π = 180 °
Therefore π / 6 = 30°
Therefore the value of cos π / 6
= cos 30°
= √3/2
= 0.866...
≈ 0.87
Hence the value of the ratio is 0.87 approximately.
To learn more about trigonometry visit:
https://brainly.com/question/13971311
#SPJ1
problem 8: find x and GJ
Answer:
x = 13, GJ = 5
Step-by-step explanation:
x - 8 = 5
x = 13
GJ = 5
Sarah's wrote the equation y = 2 + 3x. Why is Sarah's equation incorrect? What is the correct equation?
How many times will you use the digit 0 if you write all the natural numbers from 1 to
100?
Answer:
From 1 to100 11 times 0 will be used
Answer:
11
Step-by-step explanation:
this is the answer to your question
A manufacturer inspects 100 boxes of ice cream cones
after production to make sure no cones are cracked or
damaged. They find that 97 boxes have no defects. If
5,000 boxes of ice cream cones are being shipped to the
grocery stores, predict how many boxes will have damaged
ice cream cones.
Answer:
4850 boxes
Step-by-step explanation:
97 out of 100 boxes have no defects, can be translated into 97% of boxes have no defects. Using this number, we can find 97% of 5,000 to make an estimate of how many boxes will not have defects
.97(5,000)=4850
Solve number 8 please
h(a) =a²
g(a)=-3a-3
Find h(7) + g(7)
The value of h(7)+g(7) is 25.
What is a value of a function?
The value of a function is a number which can be obtain by substituting a value in the function.
We are given
[tex]h(a)=a^{2}[/tex] and [tex]g(a)=-3a-3[/tex]
To find h(7) substitute a=7 in the equation we get,
[tex]h(7)=7^{2}\\h(7)=49[/tex]
Similarly to find g(7) substitute a=7 in the equation
[tex]g(7)=-3(7)-3\\g(7)=-21-3\\g(7)=-24[/tex]
Now add both the values to find to find f(7)+g(7)
[tex]f(7)+g(7)=49-24\\f(7)+g(7)=25[/tex]
Hence the value of f(7)+g(7) is 25.
To learn more about value of function refer
https://brainly.com/question/14723549
#SPJ13
Which expression is a perfect square trinomial?
a.36x2+12x−1
b.100x2−20x+1
c.2x2+64x+36
d.x2−2x+2
Note. Help please i am having trouble
Answer:
b.
Step-by-step explanation:
100x2−20x+1
= (10x - 1)(10x - 1)
= (10x - 1)^2.
Add the linear expressions.
(-1.41x - 0.01) + (5.62x + 2.73)
Solution of the linear expression (-1.41x - 0.01) + (5.62x + 2.73) after adding them is equal to 4.21x + 2.72.
As given in the question,
Given linear expression :
(-1.41x - 0.01) + ( 5.62x + 2.73 )
After adding the given linear expression we have,
(-1.41x - 0.01) + ( 5.62x + 2.73)
Collect like terms together of the given linear expression we get,
( 5.62x - 1.41x ) + ( 2.73 -0.01 )
= 4.21x + 2.72
Therefore, solution of the linear expression (-1.41x - 0.01) + (5.62x + 2.73) after adding them is equal to 4.21x + 2.72.
Learn more about linear expression here
brainly.com/question/819568
#SPJ1
parellel lines r and s are crossed by transversal line t and create an angle that measures 117 as shown fill in the other seven angles created with their measures
find the area of the circle
Answer:
i got 12.56
Step-by-step explanation:
hope this helped :P
Answer:
12.56
Step-by-step explanation:
2*2*π= 4π. You use 3.14 for π. Then you multiply 2*2*3.14, which is 12.56 inches^2
hi. i accidentally pressed an answer so ignore that
Answer:
I believe that it's the letter "H"
Step-by-step explanation:
What's the answer to this?
Answer:
Step-by-step explanation:is 10
please help literally dying
Answer:
56
Step-by-step explanation:
what is the divisor of 76.3 ÷ 100?
The divisor is 1000 and the divident is 763.
In division, The number that is being divided is termed as the dividend, and the number that it is being divided by is called the divisor and the outcome of the division is the quotient, and the number which is left is called as remainder.
As per the question, 76.3 ÷ 100
The divident is equal to 76.3 and the divisor is equal to 100
But as the divident present is a decimal number, the decimal point can be removed by multiplying it with 10 and also multiplying the divisor with 10.
Now, the resulting division is
763 ÷ 1000
Here the divisor is 1000 and the divident is 763.
To learn more about division refer here
https://brainly.com/question/1622425
#SPJ1
