Answer:
[tex]\sqrt{x}[/tex][tex]\sqrt[3]{1/2(x)}[/tex] - 1 = y
Step-by-step explanation:
Inverse: swap x and y
y =2(x+1)^3
x = 2(y + 1)^3
now put it in a y = mx + b form
x = 2(y + 1)^3
1/2(X) = (y+1)^3
[tex]\sqrt{x}[/tex][tex]\sqrt[3]{1/2(x)}[/tex]= y + 1
[tex]\sqrt{x}[/tex][tex]\sqrt[3]{1/2(x)}[/tex] - 1 = y
In April, Mrs Ezeaku bought a bag of corn
for N2400. When she wanted to buy more in
June, she found that she could only buy 3/5
a bag for N2400. What was the percentage
increase in price from April to June
The percentage increase in price from April to June to Mrs Ezeaku, based on the cost of the bag is 66.7%
How to find the percentage increase?First, find the price of a bag in June. If 3/5 of a bag costs N2,400, then a full bag would be:
= Cost of proportion / Proportion of bag
= 2, 400 / (3 / 5)
= N4, 000
The percentage increase from April to June is:
= ( Price in June - Price in April) / Price in April x 100%
= ( 4, 000 - 2, 400) / 2, 400 x 100%
= 1, 600 / 2, 400 x 100%
= 66.7%
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what is the distance between points (4,0) and (0,3)1 unit 5 unit7 unit25 unit
We want to find the distance between the points:
[tex](4,0)\text{ and }(0,3)[/tex]For doing so, we remember the formula of the distance between two points:
[tex]d(P,P^{\prime})=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]Where P(x₁,y₁) and P'(x₂,y₂). Applying the formula we get:
[tex]\begin{gathered} d=\sqrt[]{(4-0)^2+(0-3)^2} \\ =\sqrt[]{4^2+3^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5 \end{gathered}[/tex]This means that the distance between the points (4, 0) and (0, 3) is 5 units.
amy, becky, caroline, and dan are each trying to save $200 for a new phone. the chart shows how much each of them currently have and how much they are saving each week. show all work and explain your steps
A. How much money will Amy have in 3 weeks? Write the expression you use to solve.
B. Write an expression telling how much Amy will have in x number of weeks.
C. Who will be the first person to save $200 and how long will it take?
A) In 3 weeks, Amy will have $121.
B) An equation that shows the amount of savings Amy will have in x number of weeks is 100 + 7x.
C) Becky is the first person to save $200 in 11.5 weeks.
What is an equation?An equation is a mathematical statement that two or more mathematical expressions share equality in their values.
Equations depict the fact that two or more expressions have the same or equivalent values using the equation symbol (=).
The total amount of savings required for a new phone = $200
Amy's savings in x weeks = 100 + 7x
Becky's savings in x weeks = 85 + 10x
Caroline's savings in x weeks = 94 + 8x
Dan's savings in x weeks = 110 + 7x
Amy's savings in 3 weeks = $121 ($100 + 7(3)
Amy:If 100 + 7x = 200
7x = 100
x = 14.3
= 14.3 weeks
Becky:If 85 + 10x = 200
10x = 115
x = 11.5
= 11.5 weeks
Caroline:If 94 + 8x = 200
8x = 106
x = 13.25
= 13.25 weeks
Dan:If 110 + 7x = 200
7x = 90
x = 12.86
= 12.86 weeks
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Please help me asap I need assistant
Answer:
In order from left to right: Apple, Mango, Grapes, Kiwi, Banana
Step-by-step explanation:
The one furthest left is the only one that goes above 50, so it has to be apple at 55. The one next to it falls between 20 and 30, so it is going to be Mango at 25. The one next to it lies between 30 and 40, so it will be Grapes at 35. The next one falls exactly at 10, so it is Kiwi. And finally, the only one left is Banana, which is good because the bar sits at 50.
Hope this helps
Answer:
Red: Apple, Green: Mango, Blue: Grapes, Pink: Kiwi, Purple: Banana
Step-by-step explanation:
The y-axis (Number of votes) shows how many families voted for a specific fruit, using the bar graph you can connect the dots and figure out which graph is which :) Ex: Red is apple because the bar stops right between 60 and 50 showing to be halfway between the two which is 55, and apple received 55 votes.
I have a partial sum question for a geometric sequence picture included
Solution
The partial sum of the arithmetic sequence with a = 3, d = 8
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex][tex]\begin{gathered} S_{13}=sum\text{ of the arithmetic sequence where n = 13} \\ S_{13}=\frac{13}{2}(2(3)+(13-1)8) \\ S_{13}=6.5(6+12(8)) \\ S_{13}=6.5(6+96) \\ S_{13}=6.5(102) \\ S_{13}=663 \end{gathered}[/tex]Therefore the partial sum of the arithmetic sequence = 663
Can someone please help me:
what does X equal in this linear equation?
Directions:
Graph the following linear equation
(I will give 100 points)
please hurry
X equal to 5 in this linear equation
What is linear equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
0 = x - 5
x = 5
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Consider the first three terms of the arithmetic sequence 9,14,19Determine d , the common difference Find the nth term, TnDetermine T9, the 9th term in the sequence
The common difference, d = 5
[tex]\begin{gathered} T_n=5n+4 \\ T_9=49 \end{gathered}[/tex]Explanation:The given sequence is:
9, 14, 19
The common difference is the difference between the consecutive terms of the sequence.
The common difference, d = 14 - 9 or d = 19 - 14
Therefore, the common difference, d = 5
The nth term of an Arithmetic sequence is given by the formula:
[tex]T_n=a+(n-1)d[/tex]where the first term, a = 9
The common difference, d = 5
Substitute a = 9, and d = 5 into the nth term formula above
[tex]\begin{gathered} T_n=9+5(n-1) \\ T_n=9+5n-5 \\ T_n=5n+4 \end{gathered}[/tex]The 9th term in the sequence is calculated by substituting n = 9 into the nth term gotten above
[tex]\begin{gathered} T_n=5n+4 \\ T_9=5(9)+4 \\ T_9=45+4 \\ T_9=49 \end{gathered}[/tex]Solve for the value of 'x' given:5.25 = -log(x)This question will require an answer in scientific notation. For example, 0.0435 would be input as 4.35e-2Answer:
Solution
Solve for the value of 'x' given:
5.25 = -log(x)
[tex]5.25=-logx[/tex][tex]\begin{gathered} x=\frac{1}{10^{5.25}} \\ x=5.62341...e-6 \end{gathered}[/tex]Select the type of equation
The type of equation is equivalent.
What are equivalent equation?Equation systems that have the same solutions are said to be equivalent. A useful skill in both algebra class and daily life is the ability to recognize and solve comparable equations. View several illustrations of comparable equations, learn how to solve them for one or more variables, and consider how you may apply this knowledge outside of the classroom.
Algebraic equations with equal solutions or roots are said to be equivalent.An equation is equivalent if the same quantity or expression is added to or subtracted from both sides.An analogous equation is created by multiplying or dividing both sides of a non-zero equation by the same number.To know more about equivalent equations ,visit:
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U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set) A U (B U C)
U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set)
A U (B U C)
step 1
Find out B U C
we have
B = {1,4,7,8}, C = {3,6,8}
so
B U C={1,4,7,8} U {3,6,8}={1,3,4,6,7,8}
step 2
Find out A U (B U C)
A U (B U C)={2,4,5} U {1,3,4,6,7,8}={1,2,3,4,5,6,7,8}=set U
therefore
the answer is
{1,2,3,4,5,6,7,8}The mean length of 4 childrens' index finger is 8.7cm.
The mean length of 11 adults' index finger is 13.4cm.
What is the mean length (rounded to 2 DP) of these 15 people's index finger?
The mean length (rounded to 2 DP) of these 15 people's index finger is 12.15 cm.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The mean length of 4 children's index fingers is 8.7cm.
The mean length of 11 adults' index fingers is 13.4cm.
The mean of 15 people = [8.7x4 + 13.4x11]/15
The mean of 15 people = [34.8 + 147.4]/15
= 182.2/15
= 12.1466 cm
= 12.15 cm
Thus, the mean length (rounded to 2 DP) of these 15 people's index fingers is 12.15 cm.
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On a math test, a group of students received the following scores:68, 98, 86, 75, 86, 94, 75, 81,75Find the MEAN of the test scores.
Answer
Mean of the score is 82
Explanation
Given the following set of data
68, 98, 86, 75, 86, 94, 75, 81, 75
Mean = summation of all the data / frequency of the data
Frequency = n
n = 9
Mean = 68 + 98 + 86 + 75 + 86 + 94 + 75 + 81 + 75 / 9
Mean = 738 / 9
Mean = 82
Therefore, the mean of the score is 82
Answer:
82
Step-by-step explanation:
68+98+86+75+86+94+75+81+75=738
738/9=82
The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?the options are in the photo—>
we have that
1) a square
side length=5p
L=5p
W=5p
2)
adding 1 to the length ------> L=5p+1
subtracting 1 from the width ------> W=5p-1
Find out the area
A=L*W
substitute
A=(5p+1)*(5p-1)
A=25p^2-1 ----> by difference of squares
therefore
the answer is option fourth4y + 12 = 0Find two points on the line to be graphed
Given the line:
[tex]4y+12=0[/tex]We simplify to have:
[tex]\begin{gathered} 4y=-12 \\ y=-\frac{12}{4} \\ y=-3 \end{gathered}[/tex]The line y=-3 is a horizontal line passing through y=-3.
Two points on the line that can be graphed are:
[tex]\begin{gathered} (1,-3) \\ (5,-3) \end{gathered}[/tex]You can pick any value of x. The value of y has to remain constant.
The function f(x) = 3|x| is translated to create the function g(x) = 3|x| + 4. What is the vertex of g(x)?
The function f(x) = 3|x| is translated to create the function g(x) = 3|x| + 4.
the vertex of g(x) is (0,4)
This is further explained below.
What is the vertex?Generally, The equation for the function given is mathematically given as
g(x)=3|x|+4
To find the x coordinate of the vertex, set the inside of the absolute value x equal to 0 .
In this case, x=0. x=0
Replace the variable x with 0 in the expression.
y=3|0|+4
Simplify 3|0|+4
y=4
In conclusion, The absolute value vertex is (0,4).
(0,4)
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12.3456Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to thenearest tenth? Use 3.14 for it.The ball holds aboutcubic inches of air.
Volume of a sphere = (4/3) * Pi * r^3
Diameter = 14 inches ==> radius = diameter/2 = 14/2 = 7 ==> r = 7
[tex]V\text{ = }\frac{4}{3}\cdot\pi\cdot r^3=\frac{4}{3}\cdot3.14\cdot7^3=\frac{4}{3}\cdot3.14\cdot343=\frac{4}{3}\cdot1077.02=\frac{4308.08}{2}=2154.04[/tex]Answer:
About 2154 cubic inches
is the median of a data set is the same whether you order the set from greatest to least or least to greatest?
The value of median will be same.
Given:
The objective is to determine whether the median of a data set is same or not while ordering from greatest to least or least to greatest.
There are two possible data sets, which is even number of sets or odd number of sets.
If the number of sets (n) is even, consider two terms,
[tex]\frac{n}{2}\text{ and }\frac{n+1}{2}[/tex]Then, the average of these two numbers will gives the median of the even sets.
If the number of sets (n) is odd, the median can be calculated as,
[tex]\frac{n}{2}[/tex]Hence, the value of median will be same, even if the order of the sets are arranged greatest to least or least to greatest.
Find the distance between -4 and 2.
is it 6 or -2
Answer:
6
Step-by-step explanation:
-4 -3 -2 -1 0 1 2
Translate this sentence into an equation: 60 is the product of Mabel’s height and 4 Use the variable m to represent Mabel’s height
The statement of the question tell us that Mabel's weight times 4 equals 60, we can express this with the equation:
[tex]m\times4=60[/tex]Tina has a pet sitting business. She charges a flat service fee of $20, plus $15 per day for each animal. If one of her customersspent less than $110 on one animal, which of the following inequalities could be used to solve for x, the number of days thecustomer paid for pet sitting?
If the initial fee is $20 and additionally $15 is charged per day, then the total amount is given by:
[tex]A=20+15x[/tex]Where "x" is the number of days and "A" the total amount to pay. Since the total amount is less than $110, then we have the following inequality:
[tex]20+15x\le110[/tex]This is the inequality that can be used to determine the value of "x".
X^2+y-9=0 test for symmetry
We have three tests of symmetry. In respect to the y-axis or in respect to the x-axis, or in respect to the origin.
For symmetry with respect to the Y-Axis, check to see if the equation is the same when we replace x with −x:
[tex]x^2+y-9=(-x)^2+y-9=0[/tex]Since the equation remains the same when we change the sign of the x variable, the equation is symmetric in respect to the y-axis.
For symmetry with respect to the X-Axis, check to see if the equation is the same when we replace y with −y:
[tex]x^2+y-9\ne x^2+(-y)-9=x^2-y-9[/tex]Since the equation does not remains the same when we change the sign of the y variable, the equation is not symmetric in respect to the x-axis.
The equation is symmetric with respect to the origin if for every point (x,y) that satisfies the equation, the point (-x, -y) also satisfies the equation.
[tex](-x)^2+(-y)-9=x^2-y-9\ne x^2+y-9[/tex]Since it doesn't satisfies this condition, the equation is not symmetric with respect to the origin.
Patrick bought his recliner on sale for 3x + 1 dollars. To replace his recliner now, it would cost Patrick 5x - 3 dollars. Write an expression that represents the difference in the price of the replacement recliner and the original recliner?
The expression for the difference the price of the original recliner and the replacement recliner will be;
⇒ (2x - 4)
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Original price of the recliner = (3x + 1) dollars.
Replacement price of the recliner = (5x - 3) dollars.
Now,
The difference of the price of the original recliner and the replacement recliner will be calculated as;
⇒ Replacement recliner - Original recliner
⇒ (5x - 3) - (3x + 1)
⇒ 5x - 3 - 3x - 1
⇒ 2x - 4
Therefore, The expression for the difference the price of the original recliner and the replacement recliner will be;
⇒ (2x - 4)
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Combine Like Terms (Basic, Decimals)May 20, 11:17:05 AM?A triangle has side lengths of (4.7u – 2.6) centimeters, (9.4u +9.1) centimeters,and (6.2v - 8.7) centimeters. Which expression represents the perimeter, incentimeters, of the triangle?20.6u - 2.50O 6.5 -2.50 + 14.1uSubmit AnswerO -2.50 + 18,5 + 2.1u0 -2.2 + 14.1u + 6.2v
Given side lengths:
(4.7u - 2.6)cm , (9.4u + 9.1)cm , (6.2v - 8.7)cm
The perimeter of a rectangle is the sum of the three sides:
[tex]\begin{gathered} (4.7u\text{ - 2.6) + (9.4u + 9.1) + (6.2v - 8.7) } \\ =\text{ 4.7u + 9.4u + 6.2v - 2.6 + 9.1 - 8.7} \\ =\text{ }14.1u\text{ + 6.2v -2.2} \\ =\text{ -2.2 + 14.1u + 6.2v} \end{gathered}[/tex]The correct answer is : -2.2 + 14.1u + 6.2v
10. Written as the product of two binomials, the expression (x+3)(4x-1)-(x+3)(x-9) is(1) (2x+6) (3x – 10)(3) (x+3)(3x+8)(2) (x+3)(x-10)(4) (2x+6)(3x+8)
As a product of two binomials, the expression provided in the question would now be written as follows;
[tex]undefined[/tex]What is the area of triangle ABC?The area of triangle ABC is___ in²
ANSWER:
187.5 in^2
STEP-BY-STEP EXPLANATION:
We know that the area of a triangle is equal to the base times the height divided by 2
In the figure we have these values
The base is 3 squares that is 15 inches and the height is 5 squares that is 25 inches since each square measures 5 inches
The area is
[tex]A=\frac{b\cdot h}{2}=\frac{15\cdot25}{2}=\frac{375}{2}=187.5[/tex]The area of the triangle is 187.5 square inches
Suppose that the functions p and q are defined as follows.
p(x) = 4x-3
g(x) = -5x+5
Find the following.
(g•p) (4) =
(p•g) (4) =
Following are solutions of the functions:
(p, q)(4) = -103
(g, p)(4) = 70
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
Given Data
p(x) = 4x-3
g(x) = -5x+5
g(x) = -5x +5
g(p(x)) = -5(p(x)) +5
g(p(x)) = -5(p(x)) + 5
Solving,
(g, p)(x) = -5(4x-3) +5
(g, p) (x) = -20x - 15 +5
(g, p)(x) = -20x -10
(g, p)(x) = 20(4) -10
(g, p) (x) = 80 - 10
(g, p)(4) = 70
Function,
p(x) = 4x -3
p(g(x)) = 4(g(x)) -3
(P, q)(x) = 4(-5x +5) -3
(p, q)(x) = -20x - 20 -3
(P, q)(x) = -20x -23
(p, q)(4) = -20(4) - 23
(p, q)(4) = =80-23
(p, q)(4) = -103
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A club is selling snacks at a track meet. Oranges cost $1 each and protein bars cost $4 each. They sell 100 items and collect 304. Describe what the solution means in the context of the situation. Explain your thinking
By writing and solving a system of equations, we will see that the club sold 32 oranges and 68 bars.
What the solution means?Here the solution will be the number of oranges and protein bars sold.
Let's define:
x = number of oranges.
y = number of bars.
We know that they sell 100 items and win a total of $304, then we can write the system of equations:
x + y = 100
x*$1 + y*$4 = $304
Isolating x on the first equation we get:
x = 100 - y
Replacing that in the other equation we get:
(100 - y)*$1 + y*$4 = $304
$100 - y*$1 + y*$4 = $304
y*$3 = $304 - $100 = $204
y = $204/$3 = 68
y = 68
And the value of x is:
x = 100 - y = 100 - 68
x = 32
That is the solution, x = 32 and y = 68.
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The dosage of a cold medication is 2 mg for every 80 lb of body weight. How many milligrams of this medication are required for a person who weighs 140 lb? mg
Let x represent the amount of milligrams required for a person who weighs 140 lb.
We were told that the dosage of a cold medication is 2 mg for every 80 lb of body weight. The equations would be set up as shown below
2 = 80
x = 140
By crossmultiplying, we have
x * 80 = 2 * 140
80x = 280
We would divide both sides of th equation by 80. We have
80x/80 = 280/80
x = 3.5
Therefore, 3.5 milligrams of this medication are required for a person who weighs 140 lb
(18−4²+2)²1÷4⋅1/2 please help
Answer:
70 8/9
Step-by-step explanation:
I think that is correct answer. I don't know if it is correct.
using this module predict when it will take to reach approximately 300 female turtles ? how many female turtles will there be in 7 years?
Answer
a) It will take 3.54 years for the turtle population to hit 300 female turtles.
b) There will be 78,125 female turtles in 7 years.
Explanation
The model has been give to us as
T(t) = 5ᵗ
where
T(t) = Female turtle population at any time t
t = time in years
First part of the question asks us to find when the turtle population will hit 300 female turtles. That is, find t when T(t) = 300
T(t) = 5ᵗ
300 = 5ᵗ
We can rewrite this as
5ᵗ = 300
We will take the natural logarithms of both sides
In 5ᵗ = In 300
t (In 5) = In 300
t (1.6094) = 5.7038
Divide both sides by 1.6094
t = (5.7038/1.6094)
t = 3.54 years = 3 years, 6.5 months
For the second part of the question, we want to calculate the number of female turtles when t = 7 years
T(t) = 5ᵗ
T(7) = 5⁷ = 78,125 female turtles
Hope this Helps!!!
