The number of solutions the equation 2x + 2x + 2 = 4 + 2x have is 1
How many solutions does this equation have?From the question, we have the following parameters that can be used in our computation:
2x + 2x + 2 = 4 + 2x
Subtract 2x from both sides of the equation
So, we have the following representation
2x + 2 = 4
Subtract 2 from both sides of the equation
So, we have the following representation
2x = 2
Divide both sides by 2
x = 1
Hence, the equation has 1 solution
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help pls basic polygons
The values of x and y in polygon D is 95 and 85, and the value of x and y in polygon E is 85 and 95
What is polygon?In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
The polygon D having measure of an angle is 70°, 100°, 105°,
The polygon E has angles 100°, 95°, 70°
Calculate the value of x in the polygon D as shown below,
70 + 100 + 105 + y = 360
y = 360 - 275
y = 85
Hence, x = 180 - y (linear pair)
x = 180 - 85
x = 95
Calculate the value of x in the polygon E as shown below,
100 + 95 + 70 + y = 360
y = 360 - 265
y = 95
x = 180 - 95
x = 85
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Consider the words typically associated with geometry, are there any words that would be hard to precisely define ?
We can see that the words that are not defined precisely in geometry are:
Pointline plane.What is geometry?Geometry is a branch of mathematics that deals with the properties and relationships of points, lines, angles, surfaces, and solids. It is concerned with the properties of space, shape, size, and position of figures, and can be divided into two main branches: Euclidean geometry and non-Euclidean geometry.
Euclidean geometry is named after the ancient Greek mathematician Euclid, who wrote "Elements", a comprehensive textbook on the subject that was widely used for centuries. Euclidean geometry is based on a set of axioms, or self-evident truths, that describe the properties of points, lines, and angles. It is the type of geometry that is typically taught in school and is used in everyday life to measure and describe the physical world.
Thus, line, point and plane are not precisely defined in geometry.
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A manufacturer knows that their items have a normally distributed length, with a mean of 16.6 inches, and standard deviation of 1.8 inches.
If one item is chosen at random, what is the probability that it is less than 20.6 inches long?
Answer:
i don't sir
Step-by-step explanation:
I’ll give BRAINLIEST if correct
The total money remaining to be collected is given by -
R(x) = 8x² - 7x + 12.
What are expressions?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is that the three friends collected some amount of money to buy the earphones. It is asked to find the amount of money still remaining to be collected.
The total cost of earphones are -
T(x) = 9x² - 3x + 4
The total money collected by the friends is -
C(x) = x² + x - 12 + 3x + 4
C(x) = x² + 4x - 8
Money still need to be collected -
R(x) = T(x) - C(x)
R(x) = 9x² - 3x + 4 - (x² + 4x - 8)
R(x) = 9x² - x² - 3x - 4x + 4 + 8
R(x) = 8x² - 7x + 12
Therefore, the total money remaining to be collected is given by -
R(x) = 8x² - 7x + 12.
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It takes Thorton 4 hours to edit a video for his school. If he has already spent 2.5 hours on this video, what percent of the video is edited?
Answer:
Step-by-step explanation:
62.5% is edited
For the right answer,I
you will get 20 points:)
Answer:
Summary answers in attached image
Step-by-step explanation:
Unit rate = Cost/weight
The lower the unit rate the better the value
All numbers rounded to nearest cent
Oranges Unit Rates:
2lb bag : $3/2lb = $1.50 per lb
3lb bag: $4.75/3lb = $1.58 per lb
2lb bag has lower unit rate hence better value
Drinks unit rates
16oz bottle: $0.89/16 = $0.06 per oz
128oz bottle: $4.50/128 = $0.04 per oz
128oz bottle of milk is a better value
Veggies unit rates
15oz can: $1.25/15 = $0.08 per oz
28oz can: $2.00/28 = $0.07 per oz
28oz can has better value
Cornflakes unit rates
17oz box: $2.98/17 = $0.18 per oz
21oz box: $3.50/21 = $0.17 per oz
21oz box has better value
Chips unit rates:
10oz bag: $2.50/10 = $0.25 per oz
14oz bag: $3.65/14 = $0.26 per oz
10oz bag has better value
Please help I'll give brainliest!!!!!!!!
The length of the line segment WK for the triangle ∆WGN is equal to 13.52 rounded to the nearest hundredth.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the sine of the angle S in the right triangle ∆KSW, the angle m∠KSW = m∠HSR = 51°
line segments;
SW = SR + RW
SW = 3.6 + 13.5
SW = 17.4
sin 51° = WK/17.4 {opposite/hypotenuse}
WK = 17.4 × sin 51° {cross multiply}
WK = 13.5223
Therefore, the length of the line segment WK for the triangle ∆WGN is derived as 13.52 rounded up to the nearest hundredth, using the trigonometric ratio is sine.
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Find the equation of the line perpendicular to y=-1/2x-5 that passes through the point (2,7) Write this line in slope-line intercept
Answer:
y = 2x + 3
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 )
y = - [tex]\frac{1}{2}[/tex] x - 5 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 , then
y = 2x + c ← is the partial equation
to find c substitute (2, 7 ) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 2x + 3 ← equation of perpendicular line
Your school's talent show will feature 10 solo acts and 2 ensemble acts. The show will last 98 minutes. The 5 solo performers judged best will give a repeat performance at a second 63 minute show, which will also feature the 2 ensemble acts. Each solo act lasts x minutes, and each ensemble act lasts y minutes. Use this information to answer parts (a) and (b).
Solo acts are 7 minutes long and ensemble acts are 14 minutes long.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
From the given data let us form the system of equations
10x+2y=98
5x+2y=63
To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.
Subtract both the equations
10x+2y-5x-2y=98-63
5x=35
Divide both sides by 5
x=7
Now plug in x value in any of the equation
70+2y=98
2y=98-70
2y=28
Divide both sides by 2
y=14
Hence, Solo acts are 7 minutes long and ensemble acts are 14 minutes long.
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Which of the following calculations described in the following statements require that you use the addition rule?
A)Calculate the probability of black offspring from the cross AaBb × AaBb,when B is the symbol for the black allele.
B)Calculate the probability of children with both cystic fibrosis and polydactyly when parents are each heterozygous for both genes.
C)Calculate the probability of each of four children having cystic fibrosis if the parents are both heterozygous.
D)Calculate the probability of a child having only sickle-cell anemia or cystic fibrosis if each parent is each heterozygous for both traits.
If probability each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.
P(Sickle-cell Anemia)
= 0.25
P(Cystic Fibrosis)
= 0.25
P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)
P(Sickle-cell Anemia or Cystic Fibrosis)
= 0.25 + 0.25
P(Sickle-cell Anemia or Cystic Fibrosis)
= 0.5
The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.
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A spinner has 10 sections numbered 1 to 10. Consider the events in the table.
Event A
Spin an odd number
Event B Spin a number greater than 5
Event C
Spin a 4
Event D Spin a multiple of 2
Which pairs of events are disjoint and cannot occur at the same time?
Select all that apply.
Events A and B
Events B and C
Events C and D
Events A and C
Events A and D
The pairs of events that are disjoint and cannot occur at the same time are:
Events A and CEvents A and DWhat are disjoint events?Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time.
For example, the results of a single coin flip, which can result in either heads or tails but not both is a disjoint event since both head and tail cannot appear.
Considering the events given:
Event A: Spin an odd number
Event B: Spin a number greater than 5
Event C: Spin a 4
Event D: Spin a multiple of 2
Event A and Event C are disjoint because one cannot spin an odd number and a 4 since it is an even number.
Event A and Event D are disjoint because one cannot spin an odd number and a multople of 2 since it will an even number.
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Find the area of the shaded part.
19) The area of the shaded part is ___in²
The area of the shaded part of the rectangle given the total rectangle and unshaded part of the rectangle is 440 in²
What is the area of the shaded part?Total rectangle:
Length of the rectangle = 30 in
Width of the rectangle = 20 in
Area of total rectangle = Length of the rectangle × Width of the rectangle
= 30 in × 20 in
= 600 in²
Unshaded rectangle:
Length of the rectangle = 16 in
Width of the rectangle = 10 in
Area of unshaded rectangle = Length of the rectangle × Width of the rectangle
= 16 in × 10 in
= 160 in²
Area of the shaded part = Area of total rectangle - Area of unshaded rectangle
= 600 in² - 160 in²
= 440 in²
Therefore, the area of the shaded part of the rectangle is 440 in²
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If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning.
Answer: ahh.
Step-by-step explanation:
Please help me I need help asap
When 60 gallons are used for 500 miles and 13 1/2 gallons are left, 100 miles can be traveled.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
From the question, we know that 60 gallons can be used for 500 miles.
= 500/60
= 8 gallons per mile.
The number of miles that a 13 1/2 gallons will use will be:
= 8 × 13 1/2
= 100 miles
When 60 gallons are used for 500 miles and 13 1/2 gallons are left, 100 miles can be traveled.
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Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.
What will be the cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100?A 25% off coupon is a discount price.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:
For a $60 meal:
Cost of meal = $60 - 25% * $60
Cost of meal = $60 - $15
Cost of meal = $45
For a $100 meal:
Cost of meal = $100 - 25% * $100
Cost of meal = $100 - $25
Cost of meal = $75
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Complete question:
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)
Which is the coefficient in the expression 23y+5
Answer:
23
coefficient is the number multiplied by a variable
What is the break down of 300,000 15-year mortgage fixed-rate 4.4% with a 20% down payment with the credit union?
The monthly payment for the $300,000 mortgage, of 15 years, with a 4.4% interest rate and 20% down payment is given as follows:
$1,823.79.
What is the monthly payment formula?The monthly payment formula is given by the equation presented as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which the parameters are given as follows:
P is the initial amount.r is the interest rate.n is the number of payments.The down payment is of 20%, hence the amount subject to interest is given as follows:
P = 0.8 x 300,000 = 240,000.
The remaining parameters have the values given as follows:
r = 0.044, n = 15 x 12 = 180.
Hence:
r/12 = 0.044/12 = 0.003667.
Then the monthly payment is obtained as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 240000\frac{0.003667(1.003667)^{180}}{(1.003667)^{180} - 1}[/tex]
A = $1,823.79.
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Estimate the quotient of 42.4 ÷ 7.28.
The quotient of the two decimal numbers 42.4 and 7.28 as required to be evaluated in the task content is; 5.82.
What is the quotient of the two decimal numbers as required to be determined?It follows from the task content that the quotient of the two decimal numbers given; 42.4 and 7.28 is required to be determined.
On this note, since the given division operation is;
42.4 ÷ 7.28
which may alternatively be written as; 42.4 / 7.28
By the use of a calculator; the quotient is therefore equal to;
= 5.824175824
However, when rounded to the nearest hundredth; we have;
= 5.82.
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1. The ladder of a fire truck is extended to reach a window of an apartment complex. The ladder is
extended to a length of 55 feet and is attached to the truck bed which is 26 feet from the building. A sketch of this situation is shown. What angle does the ladder make with the truck? Round to the nearest tenth.
The angle made by the ladder with the truck is 61.78°
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given that, The ladder of a fire truck is extended to reach a window of an apartment complex. The ladder is extended to a length of 55 feet and is attached to the truck bed which is 26 feet from the building.
The situation is creating a right triangle, hence, using trigonometric ratio,
Since, we know, the cosine of an angle is the ratio of adjacent side to hypotenuse.
Therefore, cosx = 26 / 55
x = cos⁻¹(26 / 55)
x = 61.78°
Hence, the angle made by the ladder with the truck is 61.78°
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A paper has an area of 598 square centimeters. What is the paper's area in square inches? Use the following conversion: 1 square inch is 6.5 square centimeters.
Answer:
[tex]92.0 in.^{2}[/tex]
Step-by-step explanation:
The prompt said to use the conversion 1 square inch to 6.5 square centimeters.Keeping this in mind, we will divide the value of 598 square centimeters by a ratio of [tex]6.5cm^{2} : 1 in.^{2}[/tex].To do this, we will use the following equation: [tex](A_{I}) = \frac{598}{6.5} \frac{cm^{2}}{cm^{2} /in.^{2} }[/tex]
where [tex]A_{I}[/tex] represents the area of the paper in inches.\
Next, divide the numerical value of 598 by 6.5, receiving the quotient [tex]\frac{598}{6.5} \frac{cm}{cm/in.^{2} } = 92.0 \frac{cm}{cm/in.^{2} }[/tex].
Now we can adjust to find the proper units.Cancel the [tex]cm^{2}[/tex] (square centimeters unit) existing in both the numerator and the denominator, thereby leaving [tex]92.0 \frac{1}{1/in.^{2} }[/tex].
Finally, since the inverse of the inverse of a number is that same number itself ([tex]\frac{1}{1/b} = b[/tex]), we rewrite the measuring units of this quotient as [tex]92.0 in.^{2}[/tex].
Now our answer is clean and finalized for submission.
The children's section at a public
7
way has picture books and chapter books.
ratio of 2:3. If there are a total of 500
withal
bus in the children's section, then how many
chapter books are there?
Answer:
Chapter books 300
Step-by-step explanation:
I think that you are saying that there are a total of 500 books and how many are chapter books.
The ratio would be
[tex]\frac{chapter books}{total books}[/tex] = [tex]\frac{chapter books}{total books}[/tex]
The ratio is 2:3 for the total would be 5 (2+3)
[tex]\frac{3}{5}[/tex] = [tex]\frac{x}{500}[/tex]
5 x 100 = 500
3 x 100 = 300
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Question 2
The volume of the original sphere compares with that of new sphere as original sphere volume × 5³ = new sphere volume.
What is Sphere?A sphere is a three dimensional figure which consists of set of all the points which are at an equal distance from a point called the center of the sphere.
Sphere if dilated by a scale factor of 5 to get new sphere.
This means that radius of the new sphere is 5 times as big as radius of the original sphere.
Let r be the radius of original sphere.
Radius of new sphere = 5r
Volume of the original sphere = [tex]\frac{4}{3}[/tex] π r³
Volume of the new sphere = [tex]\frac{4}{3}[/tex] π (5r)³
= [tex]\frac{4}{3}[/tex] π 5³ r³
= 5³ × [tex]\frac{4}{3}[/tex] π r³
= 5³ × Volume of the original sphere
Hence 5³ × Volume of the original sphere = Volume of new sphere.
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11. Given f(x) = -2/5x +4, which statement is true of the inverse function f-¹(x)?
1) f-¹(x) is a line with slope 5/2
2) f-¹(x) is a line with slope 2/5
3) f-¹(x) passes through the point (6,-5)
4) f¹(x) has a y-intercept at (0,-4).
f-¹(x) is a line with slope -5/2. The correct option is 1.
What is the inverse of the function?The inverse of the function is calculated by replacing or interchanging the variables x and y with each other. A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
Given that the function is f(x) = -2/5x +4. The inverse function of the given function will be calculated as,
y = -2/5x + 4
x = -2/5y + 4
2/5y = -x + 4
y = -5 /2x + 4
f-¹(x) = -5/2x + 4
Hence, the slope of the inverse function is -5/2.
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Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) f(x) = sin(x) + 9 0 < x < 2Ï€ increasing decreasing
The function is increasing on the open interval (0, 2Ï€) and decreasing on the open interval (-2Ï€, 0).
The derivative of a function tells us the slope of the function at any given point, and the sign of the derivative tells us whether the function is increasing or decreasing at that point. If the derivative is positive, the function is increasing at that point, and if the derivative is negative, the function is decreasing at that point.
The function f(x) = sin(x) + 9 is increasing on the interval (0, 2π) because the derivative of sin(x) is positive on this interval. The derivative of sin(x) is cos(x), which is positive for all values of x except for multiples of π.
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The room numbers on one side of a hotel hall are odd. They are numbered
from 11 through 59 inclusive. Kristen is in one of these rooms. Express
as a fraction the probability that Kristen's room number is divisible by 5.
Solve negative 5 times y plus seven thirds times y equals negative 5 minus eight thirds times y minus 4 for y.
A: Infinite solutions
B: No solution
C: y = −14
D: y = 0
Answer:
C
Step-by-step explanation:
its just ez bro first you have to multiply 5xy and y equals negative so minus 8 thrids and then times y minus 4 for y
Answer:
B; No Solution
Step-by-step explanation:
Did it on paper, however, it won't let me paste the picture here. :(
An ideal gas occupies a volume of 0.50 liter (L) at a pressure of 0.20 atmosphere. What volume will the gas occupy at 0.40
atmosphere if the temperature remains constant?
A) 0.25 L
B) 0.50 L
C) I L
D) 2L
Correct answer is 0.25, but please show the work
Answer:
To find the volume of the gas at a pressure of 0.40 atm if the temperature is held constant, we can use the ideal gas law:
PV = nRT
Where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature of the gas.
Since the number of moles and the temperature of the gas are constant, we can rearrange the equation to solve for V:
V = (nRT)/P
Plugging in the given values, we have:
V = (nRT)/P = (nRT)/(0.40 atm)
We know that the original volume of the gas was 0.50 L, so the new volume will be:
V = (0.50 L)(0.20 atm)/(0.40 atm) = 0.50 L / 2 = 0.25 L
So the volume of the gas at a pressure of 0.40 atm will be 0.25 L. The correct answer is A) 0.25 L.
Answer:
A) 0.25 L
Step-by-step explanation:
Use Boyle's Law:
[tex] P_1V_1 = P_2V_2 [/tex]
[tex] 0.20~atm \times 0.5~L = 0.40~atm \times V_2 [/tex]
[tex] V_2 = \dfrac{0.20~atm \times 0.5~L}{0.40~atm} [/tex]
[tex] V_2 = 0.25~L [/tex]
An office building floor has a perimeter of 5.550 feet. What is the perime
of the floor in yarde?
Answer: 1850 yd
Step-by-step explanation:
3 feet is equal to 1 yard.
Divide 5550 by 3 to get 1850
The length of a rectangle is nine more than triple the width. If the perimeter is 98 inches, find the dimensions. The width is ___inches. The length is ___ inches.
Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.
Let:
l = length of the rectangle
w = width of the rectangle
"The length of a rectangle is nine more than triple the width" can be translated as:
l = 9 + 3w
perimeter = 2 l + 2w
Substitute perimeter = 98 and l = 9 + 3w into the perimeter equation:
98 = 2 x (9 + 3w) + 2w
98 = 18 + 8w
8w = 98 - 18
8w = 80
w = 80/8 = 10 inch.
Substitute w = 10 into the length equation:
l = 9 + 3w
l = 9 + 3 x 10
l = 9 + 30 = 39
Therefore the correct answer is:
The width is _10_inches. The length is 39 inches.
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- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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