What is (14x-2)-(11x-21) as a simplified expression
Answer: (14) x (-2)- (11) x (-21)
Step-by-step explanation: Hope I was I right!
the outbound trip of a bus was made at 24mi/h, while the return trip was made at 30mi/h. find the one way distance fi the total running time was 4.5 hour.
With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.
With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.
As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.
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1
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Name the angle pa: 27 and 25
vertical angles
alternate exterior angles
same side interior angles
linear pair
alternate interior angles
same side exterior angles
corresponding angles
Vertical angles are opposite angles formed by intersecting lines.
Alternate exterior angles are angles on the same side of the transversal and outside of the two lines being intersected.
What are the angles about?Same side interior angles are angles on the same side of the transversal and inside of the two lines being intersected.
A linear pair is two angles that add up to 180 degrees and are adjacent to each other.
Alternate interior angles are angles on opposite sides of the transversal and inside of the two lines being intersected.
Same side exterior angles are angles on the same side of the transversal and outside of the two lines being intersected.
Corresponding angles are angles that have the same relative position and orientation in two similar figures.
An overview was given as your information is incomplete.
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(3x^3 y^0/x^-2)^4*(y^2 x^-4 5xy^-8)^3
The expression evaluates to 3x⁹y⁻¹⁸.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
{(3x³ y⁰)/(x⁻²)}⁴ × (y² x⁻⁴ 5xy⁻⁸)³
The given expression is -
{(3x³ y⁰)/(x⁻²)}⁴ × (y² x⁻⁴ 5xy⁻⁸)³
{3x³/x⁻²}⁴ × (y⁶x⁻¹²5xy⁻²⁴)
(3x¹²/x⁻⁸) × (y⁶x⁻¹²5xy⁻²⁴)
3x²⁰ × (y⁶x⁻¹²5xy⁻²⁴)
3x²⁰y⁶x⁻¹²5xy⁻²⁴
3x²⁰ ⁻¹² ⁺¹y⁶ ⁻ ²⁴
3x⁹y⁻¹⁸
Therefore, the expression evaluates to 3x⁹y⁻¹⁸.
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What is 9/51 simplified.
Answer: 9/51 simplified would be 3/17
PLEASE HELP MEEE!!! WILL GIVE BRAINLIEST!!
Describe exactly what type of transformation has been applied to triangle QRS to triangle Q'R'S'
The angle on f depression between a bird and its prey is 70%. If the bird is 18 feet off the ground, what is the distance between the bird and its prey? Round your answer to the nearest foot.
The distance between the bird and its prey is 19 feet. The solution has been obtained by using trigonometry.
What is trigonometry?
The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry."
We are given that the angle on f depression between a bird and its prey is 70%.
This means that Theta = 70°
Also, the height of the bird from the ground is 18 feet.
Using trigonometry, we get
⇒sin theta = perpendicular side/hypotenuse
⇒sin 70 = 18/hypotenuse
⇒Hypotenuse = 18/sin 70
⇒Hypotenuse = 19.1 ≈ 19 feet
Hence, the distance between the bird and its prey is 19 feet.
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Translate this sentence into an equation.
The product of Goran's age and 3 is 36.
Use the variable g to represent Goran's age.
Answer:
3 x g = 36
Step-by-step explanation:
3 multiplied by Gordon's age equals 36.
Question 41 of 53
Which of the following exponential equations is equivalent to the logarithmic
equation below?
x = In 9.45
The exponential equation that is equivalent to the logarithmic equation is e^x = 9.45
How to determine the equivalent equationFrom the question, we have the following parameters that can be used in our computation:
x = In 9.45
Take the exponent of both sides
e^x = 9.45
Hence, the equivalent equation is e^x = 9.45
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Colette ha an exterminator viit regulary to control an ongoing cockroach 3,800 15% 3 year
If the initial population is 3800. The population of cockroaches after 3 years will be 1603.
Consider the function:
y = a(1 ± r)ⁿ
where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, there is exponential growth happening by r fraction or r%.
If there is a minus sign, there is exponential decay happening by r fraction or r%.
If the population is currently 3,800 cockroaches.
The expression is given as
y = 3800(0.75)ⁿ
The population of cockroaches after 3 years will be
y = 3800(0.75)³
y = 3800 x 0.4218
y = 1603.125
y ≅ 1603
Hence, the population of cockroaches after 3 years will be 1603.
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The complete question is:
Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.
Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, rashguards sell for $5 less than full price. Miguel purchases 3 rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?
The cost of each rashguard is $25, the equation is 3 (x - 5) = 60.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Given;
During the sale, rashguards sell for $5 less than full price
Miguel purchases 3 rashguards and pays a total of $60
Now,
Let the full price of each rashguard be x,
Rashguards sell for $5 less than full price.
x - 5
Miguel purchases 3 rashguards and pays a total of $60.
3 (x - 5) = 60
On solving;
x-5=60/3
x-5=20
x=25
Therefore, the answer of arithmetic problem will be $25.
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If the cone’s radius is 1/2 what is its height
The term "directrix" refers to the circumference of a cone's base, and "generatrix" or "generating line" refers to each line segment between the directrix and apex.
What is the parameter for cone radius calculation?(For a relationship between the directrix of a conic section and the name "directrix" in this sense, see Dandelin spheres.
A cone's volume is equal to one-third of the sum of the base's area and the cone's height. Cubic units are used to measure volume.
A cone's radius affects how tall it is. A cone with a radius of 1 /2 has a height of 0.26. Volume is the amount of space that is occupied by a three-dimensional object.
A cone's volume (V) is determined by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1/2:
=(1/3)π*(1/2)²*h
=(1/3)(22/77)(1/4)h
=0.26
Therefore, its height is 0.26.
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solve for x. each figure is a parallelogram
Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.
What is Parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. Angle T for a parallelogram is (40x+2) degrees.
R is a 122 degree angle.
The angle of the parallelogram must be understood in order to answer this problem.Parallelogram – A parallelogram is a closed-shaped quadrilateral with equal angles and opposing sites.The angle T and the angle R are at an opposing angle in the depicted figure. Angles T and R will therefore be equal to one another. Thus,[tex]$$\angle T=\angle R$$[/tex]
Put the values of the angle in the above equation. Thus,
[tex]& 40 x+2=122 \\[/tex]
[tex]& 40 x=122-2 \\[/tex]
[tex]& 40 x=120 \\[/tex]
[tex]& x=\frac{120}{40} \\[/tex]
[tex]& x=3[/tex]
Hence the value of the x is 3 .
The complete question is,
Solve for X. Each figure is a parallelogram.
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Mary is planning to buy a new pair of jeans. They are on sale. The total cost of the jeans including tax is $17.00 Her mother gave her $14.50. How much more money does Martia need to purchase the jeans?
Mary need $2.5 more money to buy her jeans.
What is subtraction?Subtraction is simply the process of taking one quantity and removing part of it to work out what is left. It is the opposite of addition, because we are reducing the value of the number rather than increasing it by adding more numbers.
Given that, Mary is to buy a new pair of jeans, whose price including tax is $17.00, her mother gave her $14.50,
We need to find how much more money do Mary need,
Here, we will use a simple rule of subtraction, since, total price is $17, and she has $14.50,
Therefore, extra money she need = $17 - $14.50
= $2.5
Hence, Mary need $2.5 more money to buy her jeans.
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Mary i going to divide her ticker collection among four friend he ha five pack of 20 ticker how many ticker will each friend receive
Each friend will receive 25 sticker from Mary's collection
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Number of friends = 4Number of stickers per pack = 20Number of pack = 5Sticker per friend = ?Calculating the number of sticker per friend:
Sticker per friend = (Number of stickers per pack * Number of pack) / Number of friends
Sticker per friend = (20*5)/4
Sticker per friend = 100/4
Sticker per friend = 25
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Correctly written question:
Mary is going to divide her sticker collection among four friends she has five packs of 20 sticker how many stickers will each friend receive?
With carbon dioxide, what phase change takes place when the temperature
increases from -40°C to 0°C at 10 atm?
Pressure (atm)
20-
15-
10-
5-
0-
Carbon Dioxide Phase Diagram
Melting
point
Solid
-100
Boiling
point
Liquid
Gas-
887
Temperature (°C)
20
The phase change takes place when the temperature increases from -40°C to 0°C at 10 atm is solid-liquid change phase(melting).
What is Phase- change?Phase change refers to the process of a substance changing from one physical state to another, such as solid to liquid, liquid to gas, or solid to gas. These changes occur as a result of changes in temperature or pressure, and are characterized by changes in the physical properties of the substance, such as its volume, density, and viscosity.
Phase changes are classified into two types: physical and chemical. Physical phase changes involve a change in the physical state of a substance without any change in its chemical composition, such as the melting of ice to liquid water or the boiling of water to steam. Chemical phase changes, on the other hand, involve a change in the chemical composition of a substance, such as the formation of a chemical compound through a reaction.
The diagram you provided shows the phase diagram of carbon dioxide at a pressure of 10 atm. It shows that the melting point of solid carbon dioxide is -100°C and the boiling point of liquid carbon dioxide is -87°C.
When the temperature increases from -40°C to 0°C, the carbon dioxide is in the solid state at -40°C. As the temperature increases, it will reach the melting point of -100°C, causing a phase change from solid to liquid.
Therefore, the phase change that takes place when the temperature increases from -40°C to 0°C at 10 atm is a solid-liquid phase change, also known as melting.
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The surface area of a cylinder is 48π m². the distance around the base of the cylinder is 5π meters and the diameter of a base of the cylinder is 8 meters. what is the height of the cylinder? enter your answer, as a simplified fraction, in the box. m
The height of the cylinder is 2 m.
The surface area of a cylinder is [tex]48 \pi m^{2}[/tex]
The distance around the base of the cylinder is 5π m and the diameter of a base of the cylinder is 8 meters.
The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.
Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as
[tex]2 \pi rh + 2 \pi r^{2}[/tex]Since the diameter of the base is 8 meters, the radius is 8/2 = 4 meters.
We know the surface area of the cylinder is 48π m², so we can use this information to find h:
⇒[tex]48 \pi = 2 \pi(4)h + 2 \pi(4)^{2}[/tex]
Expanding and simplifying the equation:
⇒48π = 8πh + 32π
Subtracting 32π from both sides:
⇒16π = 8πh
Dividing both sides by 8π:
⇒h = 2
So the height of the cylinder is 2 meters, expressed as a simplified fraction, h = 2 m
Therefore, the height of the cylinder is 2 m.
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Which is the approximate measure of angle acb? 31.0° 36.9° 53.1° 59.0°
Answer: the answer is
53.1
together, a piece of pie plus ice cream costs $2.20 in total. the pie costs $2 more than the ice cream. how much does the ice cream cost?
The ice cream costs $0.10 and the pie costs $2.10.
Let's call the cost of the ice cream "x".
According to the problem,
The pie costs $2 more than the ice cream, so the pie costs x + $2.
And, together, the pie and ice cream cost $2.20, so:
x + (x + $2) = $2.20
Expanding and solving for x:
2x + $2 = $2.20
2x = $0.20
x = $0.10
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept.
The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
Ax+By=C is the typical form for linear equations in two variables.
2x+3y=5, for example, is a simple linear equation.
It is rather simple to get both intercepts when an equation is stated in this way (x and y).
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In your own words, describe four ways in which errors in statistical data occur.
Four ways errors can occur in statistical data are:
Measurement errorSampling errorData entry errorModel error.How Errors Can Occur in Statistical Data?Errors in statistical data can occur in several ways, including:
Measurement error: This happens when the data collected is not accurate, such as using an incorrect instrument or using the instrument improperly.
Sampling error: This occurs when a sample of the population is used to represent the entire population, and the sample is not representative or randomly selected.
Data entry error: This happens when data is recorded incorrectly or transcribed inaccurately, such as mistyping a number or mixing up entries.
Model error: This occurs when the model used to analyze the data is incorrect or does not fit the data well, leading to incorrect or misleading results.
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I can't find the answer PLEASE HELP! Find 42% of 175
Answer:
73.5
Step-by-step explanation:
This is a percentage question.
To solve it we need to first divide the amount by 100 then multiply it with 42:
175 ÷ 100 × 42 = 73.5
9. What is the length of QR?
Answer:
48
Step-by-step explanation:
definition of very similar triangles hope the answer is correct
Easy 9th grade question i forget how to do these pls help! Giving brainliest
It's got to be B or C, since those are the ones with m = -7/3
If you plug in (6,5) into B, you'd have:
5 = -7/3 (6) + 9
5 = -14 + 9
5 = -5
That didn't check.
If you plug (6,5) into C, you'd have:
5 = -7/3 (6) + 19
5 = -14 + 19
5 = 5
That does check.
The answer is C.
If you prefer, you could also solve for slope-intercept form:
y = -7/3 x + b and plug in (6,5):
5 = -7/3 (6) + b
5 = -14 + b
19 = b
Again, this gives the answer of C: y = -7/3 x + 19
Margaret stores 400 photos in 8 equal-sized albums. How many photos does she have in 3 albums?
The number of photos she will have in 3 albums would be = 150 photos.
How to calculate the number of photos per album?The number of photos Margaret stored in 8 albums = 400
The number of photos in 3 albums = x
That is;
If 8 albums = 400 photos
3 albums = X photos
Make X the subject of formula;
X = 3 × 400/8
X= 1200/8
X = 150 photos
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Ms. Jackson wants to rent an oversized truck for a week. It will cost the weekly fee plus $0.20 per mile driven. Let m=the number of miles Ms. Jackson drives during the week.
Answer:
ms Jackson let m=the number of miles ms
I need help solving this absolute value equation
3|x-4|=33
Answer: x = 15 or x = -7
Step-by-step explanation:
Step 1: Divide both sides by 3.
Step 2: Solve Absolute Value.
|x−4|=11 We know either x − 4 = 11 or x − 4 = −11
x−4=11(Possibility 1)
x−4+4=11+4(Add 4 to both sides)
x=15
x−4=−11(Possibility 2)
x−4+4=−11+4(Add 4 to both sides)
x=−7
Your scores on the last 3 bowling games are 99,92, and 115. Write and solve an inequality to find the score you need in the next game to have a mean score of at least 100.
Answer:
Score in 4th game = 94
Step-by-step explanation:
The mean is the average of all the data points, which means we divide the sum of all the points by the total number of points.
Letting s represent the score in the 4th game, we can use the following equation to find the score needed to end up with a mean score of 100:
[tex]\frac{99+92+115+s}{4}=100\\ \frac{306+s}{4}=100\\ 306+s=400\\s=94[/tex]
Given the arithmetic sequence 10, 15, 20, 25,... find the a15.
Answer
a15 is equal to 75
The distance traveled (in feet) is proportional
to the number of seconds. Find the values of
x, y, and z.
Answer:
te56
Step-by-step explanation:
y8888888755555555555555578
There are 14 sixth graders, 29 seventh graders,
and 37 eighth graders in the musical at
Canon Middle School. If 65% of the students
in the musical are girls, how many are girls?
Answer:
52 girls
Step-by-step explanation:
You have to find the total number of students first which is 80. Then you figure out 65% of 80. You can write a proportion which is 65/100 = x/80, you then solve for x by using the butterfly method.
So,
65/100 = x/80
5200 = 100x
divide by 100 to isolate x
52 out of the 80 students are girls
