Answer: y=3(x+3)^3-1
Step-by-step explanation:
Simplify each expression.
36¹/₂
The problem is on indices. Write 36 in form of its prime factors. Apply the power rule (a^m)^(1/n)=a^(m/n).
36^(1/2)
(6^2)^(1/2) = 6^(2×1/2) = 6
Find out more on indices at: brainly.com/question/26666258
#SPJ4
Which is equivalent to the ratio 20:50
Answer:
Since the simplest form of the fraction 20/50 is 2/5, the simplest form of the ratio 20:50 is also 2:5.
A baker has bags of flour that weigh three and 1/ 4 pounds each if the baker has a total of 1/2 bags of flour, what is the total weight of the bags of flour?
If the baker has a total of 1/2 bags of flour, the total weight of the bags of flour is 1.625
What is the weight of a bag of flour in pounds?
The fact that each bag of flour weighs 3 and 1/4 pounds means that each bag of flour is 3.25 pounds, in essence, the total weight of flour that the baker has can be determined as the weight of a bag of flour multiplied by the total of 1/2 bags of flour.
total weight of bags of flour=weight of a bag of flour*total weight of baker's flour
weight of a bag of flour=3.25 pounds
total weight of baker's flour=1/2 bag
total weight of bags of flour=3.25bags*1/2
total weight of bags of flour=1.625 pounds
Find out more about weight in pounds on:https://brainly.com/question/20516561
#SPJ1
Corinna paid $3 for 12 eggs. What was the cost of 1 egg?
Answer:
0.25
Step-by-step explanation:
All i did was divided 3 by 12
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answer: -3x+4=2 is the new equation x= 2/3
Step-by-step explanation: brainliest?
Help me pls!! 4 math questions
A desktop world globe has a volume of about 1386 cubic inches. The radius of Earth is approximately equal to the radius of the globe raised to the 10 th power. Find the radius of Earth. (Hint: Use the formula V=⁴/₃πr³ for the volume of a sphere.)
The radius of the Earth, approximately equal to the radius of the globe raised to the 10th power, is 250,562,113.2 inches.
First, solve for the radius of the desktop world globe using the formula for the volume of a sphere given by:
V = 4/3 π r^3
If the desktop world globe has a volume of about 1386 cubic inches, then
1386 cubic inches = 4/3 π r^3
r = 6.916582163 inches
Next, solving for the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power.
Exponent, or power, is the small number written at the upper right of a constant or variable that tells how many times that constant or variable should be multiplied to itself.
If the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power, then
r of Earth = r of globe ^10
r = 6.916582163^10
r = 250,562,113.2 inches
To learn more about exponent: https://brainly.com/question/13669161
#SPJ4
If a gas has a volume of 1 l at a pressure of 200 kpa, what volume would it have when the pressure is increased to 400 kpa? assume the temperature and number of particles are constant.
With an inverse relationship, when the pressure is increased to 400 kPa, the volume will be 0.5L, assuming that the temperature and number of particles are constant.
Boyle's Law states the inverse relationship between volume and pressure. It states that a constant amount of gas at a constant temperature, decreasing the volume will increase its pressure, and increasing its volume will decrease its pressure.
V = k/P or P1V1 = P2V2
where V = volume
P = pressure
If a gas has a volume of 1 L at a pressure of 200 kPa, and assuming that the temperature and number of particles are constant, using the inverse relationship, solve for the volume of the gas at a pressure of 400 kPa.
P1V1 = P2V2
200 kPa(1L) = 400 kPa(V2)
V2 = 200/400
V2 = 0.5 L
Learn more about inverse relationship here: https://brainly.com/question/22066872
#SPJ4
Which angle is vertical to 2?
Answer:
angle 5 is vertical to 2
Step-by-step explanation:
Vertical angles are pair angles formed when two lines intersect.
Answer: <5
Step-by-step explanation:
a bag contains 6 blue marbles 4 red marbles and 2 yellow marbles.
what is the probability of selecting a blue marble replacing it then selecting another blue marble?
Answer:
1/4
Step-by-step explanation:
Blue/total x blue/total
6/12 x 6/12 Which is the same as
1/2 x /12 = 1/4
Use De Morgan's Laws to write an equivalent statement using parentheses.
∼p∨∼q
Using the De Morgan's Law, the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q)
How to determine the equivalent statement of the expression using parentheses?The expression is given as
∼p ∨ ∼q
The above expression is a logical expression
The De Morgan's Law of logical expression states that
∼x ∨ ∼y = ∼(x ∧ y)
Next, we replace the variables x and y with the given variables in the question
So, we have
∼p ∨ ∼q = ∼(p ∧ q)
The above implies that the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q) using the De Morgan's Law
Read more about De Morgan's Law at
https://brainly.com/question/13419585
#SPJ1
A and B are complementary angles. If mA = (6x + 2)° and m
B = (4x + 18)°, then find the measure of ZA.
The measurement of angle A and B is 44° and 46° respectively.
What are complementary angles ?
When the sum of two angle is 90 degree it is known as complementary angles and when a line divides the line than the sum of angles formed with the given straight line is always equals to 90 degree.
It is given that the angle A and B are complementary angles whose measurements are :
∠A = (6x + 2)°
and , ∠B = (4x + 18)°
The sum of angle A and B will be 90 degree as they are complementary angles that is :
∠A + ∠B = 90°
Now, solving by adding like terms and finding the value of x :
6x +2 + 4x + 18 = 90°
10x + 20 = 90°
10x = 90-20
10x = 70°
x = 7°
now, the measurement of angle A will be :
∠A = (6x + 2)°
∠A = (6 · 7 + 2)°
∠A = (42 + 2)°
∠A = 44° and ∠B = 46°
Therefore, the measurement of angle A and B is 44° and 46° respectively.
check and know more about angles here :
https://brainly.com/question/7116550
#SPJ1
Write each equation in logarithmic form.
4= (1/2)⁻²
The equation in logarithmic form is log base (1/2) of (4) = -2
Given the equation is:
4= (1/2)⁻²
The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).
Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).
A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form.
Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.
log base (1/2) of (4) = -2
log₁/₂ (4) = ₋2
Learn more about Logarithmic equations here:
brainly.com/question/237323
#SPJ4
pls I need help in this question
Answer:
B = -1189/40
C = -13/18
Step-by-step explanation:
use your calculator to solve
and use the BODMAS method to help solve
Find the real and imaginary solutions of each equation.
81 x⁴-1=0
A solution that is real in its nature is called the real solution of that equation.
X + 5 = 0
We can solve the above equation as,
X + 5 = 0
X = -5
Now, if we plug the value of X into the equation,
X + 5 = 0
-5 + 5 = 0
0 = 0
The solution is real and is true for this equation.
While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.
The complete solution of the expression is given below in the picture.
More problems that deal with the imaginary and real part of numbers are solved in the link below.
https://brainly.com/question/20043272?referrer=searchResults
#SPJ4
Suppose you make a $5 bet on the number 0 on a roulette wheel with 38 slots labeled 00, 0, 1, 2, 3, ... , 36. If 0 is spun, you win a net gain of $175. If a 0 is not spun you lose the $5 bet. If you spin the wheel 50 times, how much money can you expect to gain or lose?
Lose $13.16
Here, we want to calculate the probability that we would win. The probability of winning is =
( No. of slots that win/ total no. of slots.)
For each individual spin, there are two possible outcomes:
- There is a 1 in 38 chance of winning $175.
- There is a 37 in 38 chance of losing $5.
The expected value for each spin is the sum of the products of each outcome by their respective probability.
expected value =E1×P1 + E2×p2
175×1/38 + (-5) × 37/38
175/38 - 185/38
-10/38
In 50 spins, the expected value is:
E(50) = 50 × (-10/38)
E(50) = - $13.16
expect to lose $13.16 if you spin the wheel 50 times.
To learn more about Probability
visit - https://brainly.com/question/13604758
#SPJ9
The position of a submarine relative to sea level, changes by - 7 miles each hour. How many hours did it take
submarine to reach 43.75 miles below sea level?PLEASE HELP
43.75 divided by 7 is 6.25, thus your answer is 6.25 hours
i cant find this pramplme Which word in the sentence gives a clue about the meaning of the word livid?
father
driver
upset
new
upset is right
Answer:
Step-by-step explanation:
upset
Decrease the number 724,062.58 by 100,000
Answer:
624,062.58 is your answer :)
Step-by-step explanation:
4x + 5y = 6
6x - 7y = -20
Answer: x=-1, y=2
Step-by-step explanation:
4x + 5y = 6
6x - 7y = -20
(4x + 5y = 6)*1.5
6x + 7.5y = 9
6x - 7y = -20
7.5y-(-7y)=9-(-20)
7.5y+7y=9+20
14.5y=29
y=2
4x + 5y = 6
4x + 5(2) = 6
4x+10=6
4x=-4
x=-1
3. Chris is 24. His age is two more than half his
father's age. How old is his father?
Define a variable and write an equation for each of the following and solve:
I feel du mb today and i have another test
iliana signed up for a store credit card with no annual fee to get a discount of 12.5 percent off her entire first purchase.
percents
total
100%
if she saved $7.29 on her first purchase by using this credit card, what was the total price of the items before the discount?
$0.91
$1.71
$58.32
$91.13
Answer:
58.32
Step-by-step explanation:
100÷12.5=8, 7.29×8=58.32.
If x= -1 in the equation y = 2x + 2, then what is the value of y?
A/
Given that 212basex + 122basex=1111 basex.Find x
Write out the decimal expansion of each number:
[tex]212_x \equiv 2x^2 + x + 2[/tex]
[tex]122_x \equiv x^2 + 2x + 2[/tex]
[tex]1111_x \equiv x^3 + x^2 + x + 1[/tex]
Note that [tex]x[/tex] must be greater than 2. Solve for [tex]x[/tex].
[tex]212_x + 122_x = 1111_x \iff (2x^2 + x + 2) + (x^2 + 2x + 2) = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies 3x^2 + 3x + 4 = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies x^3 - 2x^2 - 2x - 3 = 0 \\\\ ~~~~ \implies (x^3 - 3x^2) + (x^2 - 3x) + x - 3 = 0 \\\\ ~~~~ \implies x^2(x-3) + x(x-3) + (x-3) = 0 \\\\ ~~~~ \implies (x-3) (x^2+x+1) = 0 \\\\ ~~~~ \implies \boxed{x=3}[/tex]
y=-x-4
-7x+8y=16
solve by substitution
the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.
We are given the two equations:
y = - x - 4
- 7 x + 8 y = 16
We need to solve these equations by substitution.
We will substitute the equation 1 in the equation 2 to get the values of x and y:
- 7 x + 8 y = 16
- 7 x + 8 (- x - 4) = 16
- 7 x - 8 x - 32 = 16
- 15 x = 16 + 32
- 15 x = 48
Divide both sides by - 15, we get that:
x = 48 / - 15
x = - 16 / 5
y = - x - 4
Put the value of x
y = 16 / 5 - 4
y = 16 - 20 / 5
Subtract to get the value:
y = - 4 / 5
Therefore, we get that, the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.
Learn more about equation here:
https://brainly.com/question/1214333
#SPJ9
What is the length of the diagonal shown in the rectangular prism? Round your answer to the nearest tenth. Rectangular prism is shown with length labeled 7 feet on top. Right, width labeled 4 feet. Middle right, height labeled 5 feet. A diagonal is drawn between bottom left vertex of front face and top right vertex of back face. ft
The length of the diagonal (D) of this rectangular prism is equal to 9.5 feet.
What is Pythagorean theorem?Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
How to determine the diagonal (D) of this rectangular prism?In order to determine the length of the diagonal (D) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:
d² = l² + b²
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65
Now, we can determine the length of the diagonal (D) of this rectangular prism:
D² = d² + h²
D² = √65² + 5²
D² = 65 + 25
D² = 90
D = √90
Diagonal, D = 9.5 feet.
Therefore, the length of the diagonal (D) of this rectangular prism is equal to 9.5 feet.
Read more on diagonal of a rectangular prism here: https://brainly.com/question/27827109
#SPJ1
Which arrow would most likely represent the phase change that occurs when silver is poured into a mold and cools to become a solid bar? 1 3 4 5
The answer is 5.
When a liquid silver is poured into a mold and cools down to become a solid bar is a transition in which the liquid phase is converted into a solid phase which is termed solidification represented by arrow number 5.
Whereas other arrows represent:
Arrow 1 represents the vaporization process where the liquid state changes to a gaseous state.
Arrow 2 represents the Fusion process where the solid-state changes to a liquid state.
Arrow 3 represents the sublimation process where the solid-state changes to a gaseous state by escaping the liquid state.
Arrow 4 represents the condensation process where the gaseous state changes to a liquid state.
Arrow 6 represents the deposition process where the gaseous state changes to a solid state by escaping the liquid state.
For more information on the phase click on the link below:
https://brainly.com/question/25664350
#SPJ4
At the beginning of a chemistry experiment, the volume of liquid in a container was
4 milliliters. During the experiment, the volume dropped to 2.6 milliliters. Find the percent of decrease.
I'm having trouble with this question.
Answer:
35%
Step-by-step explanation:
Decrease in Volume= 4ml-2.6ml
=1.4ml
Percentage Decrease= 1.4/4 x 100
=35%
A cell phone plan cost thirty dollars for each line. does the situation represent a function
When the cell phone plan cost thirty dollars for each line, the function is C = 30x.
How to illustrate the information?It should be noted that a function is used to show the relationship that exists between the variables that are given.
In this situation, the cell phone plan cost thirty dollars for each line.
Let each line be represented by x.
Therefore, the cost for the number of likes will be:
C = 30 × x
C = 30x
Therefore, the function is illustrated.
Learn more about functions on:
brainly.com/question/25638609
#SPJ1
Simplify each expression. x²/₇ . x³/₁₄
The result of simplifying each number x²/₇ . x³/₁₄ using the exponent rules is [tex]\sqrt{}[/tex]x
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/₇) * (x³/₁₄)
Base= x
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
(x) ⁽²/₇ ⁺ ³/₁₄⁾
(x) ⁽⁴⁺³⁾/₁₄
(x) ⁽⁷/¹⁴⁾
(x) ⁽¹/²⁾
As we have a fractional exponent, you must convert the exponent to root:
[tex]\sqrt{}[/tex]x
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
#SPJ4