Answer:
Step-by-step explanation:
5*2=10, 10*2=20...
it is a geometric progression with ratio= 2
a11=a10*2=2560* 2=5120
Whitch expression is equivocal to this polynomial
The expression that is equivalent to the given expression, (8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y), is 8x²y² - 15x²y + xy² + 5y
Determining equivalent expressionsFrom the question, we are to determine the expression that is equivalent to the given expression.
The given expression is
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
To determine the expression that is equivalent to the given expression, we will simplify the given expression.
Simplifying the expression
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
Clear the parentheses by applying the distributive property
8x²y² - 9x²y + 9y - 6x²y + xy² - 4y
Collect like terms
8x²y² - 9x²y - 6x²y + xy² - 4y + 9y
Simplify
8x²y² - 15x²y + xy² + 5y
Hence, the equivalent expression is 8x²y² - 15x²y + xy² + 5y
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How do you write inequalities in math?
The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”.
Now, According to the question:
What is inequality?
A statement involving the symbols '>', '<', ' ≥', '≤' is called an inequality. For example 5 > 3, x ≤ 4, x + y ≥ 9.
(i) Inequalities which do not involve variables are called numerical inequalities. For example 3 < 8, 5 ≥ 2.
We use the equal sign "=" to say that two things are the same. However, sometimes we just want to show that something is bigger or smaller than something else. Or maybe we just want to say that two things are not equal. These cases are called inequalities.
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Select the expression that can be used to find the price of a $350 telescope after a 48% markup.
A.350(48)
B.350(4.8)
C.350(.48)(350)
D.350(.48)+350
Answer:
c
Step-by-step explanation:
you have to turn the48 to a decimal
Please, help and please answer my questions Lately, no-one's answering my questions-
Answer:
AZ and XZ ok I got you u kinda smart
Step-by-step explanation:
So it is so ez
Determine Whether The Given Argument Is Valid Or Invalid P --> (Q V R) ~R ^ P ______ ∴ Q
The argument represented in the symbolic form as P --> (Q V R) ~R ^ P is valied.
The argument can be represented in the symbolic form as
P --> (Q V R) ~R ^ P ∴ Q
To determine if the argument is valid or invalid, we need to follow the rules of logic.
In this argument, we are given two premises as follows:
P --> (Q V R) (1)~R ^ P (2)
And the conclusion is Q (∴ Q).
Using the premises given, we can proceed to make deductions using the laws of logic.
We will represent each deduction using a step number as shown below.
Step 1: P --> (Q V R)
(Given)~R ^ P
Step 2: P (Simplification of Step 2)
Step 3: ~R (Simplification of Step 2)
Step 4: Q V R (Modus Ponens from Step 1 and Step 2)
Step 5: Q (Elimination of Disjunction from Step 3 and Step 4)
Therefore, the argument is valid.
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in the number 25,308, which digit is in the ten thousands place?
Answer:
It is 2 which represents 20,000
Write the expression 12a in words
Answer:
12 times a number
Step-by-step explanation:
The expression 12a can be written in the form of a sentence that will be the product of the number 12 and the number 'a'.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The expression is given below.
⇒ 12a
Convert the expression into its factor form. Then the factor of the equation is calculated as,
⇒ 12a
⇒ 12 × a
The expression 12a can be written in the form of a sentence that will be the product of the number 12 and the number 'a'.
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A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?
Answer:
Nickel coin
Step-by-step explanation:
an environmental scientist conducted a comparison study to investigate the effect of exposure to an herbicide on the levels of a particular enzyme in a species of fish (species 1). sixty healthy fish were randomly assigned to either a treatment or a control group. after completing the study, the enzyme level in each of the fish was measured. the fish in the treatment group, on average, had higher levels of the enzyme. what is the statistical null hypothesis (h0) for this study? a. fish that are exposed to the herbicide have different average enzyme levels compared to fish that are not exposed. b. fish that are exposed to the herbicide have the same average enzyme level compared to fish that are not c. fish that are exposed to the herbicide have higher average enzyme levels compared to fish that are not exposed. d. fish that are exposed to the herbicide have lower average enzyme levels compared to fish that are not exposed.
The correct statistical null hypothesis (H0) for this study is option b: fish that are exposed to the herbicide have the same average enzyme level compared to fish that are not exposed.
In the study conducted by an environmental scientist to investigate the effect of exposure to an herbicide on the levels of a particular enzyme in a species of fish (species 1), the statistical null hypothesis (H0) for this study is:
B. Fish that are exposed to the herbicide have the same average enzyme level compared to fish that are not exposed.
The null hypothesis assumes that there is no significant difference between the treatment and control groups, meaning that the herbicide has no effect on the enzyme levels in the fish.
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what are the properties of a rectangle and a parallelogram
Answer: Opposite Sides are equal and Opposite Sides are parallel
a man weighs 154 pounds and is 70 inches tall. his bmi is
The man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.
To calculate the Body Mass Index (BMI) of a person, we use the following formula:
BMI = weight (in kilograms) / height^2 (in meters)
First, we need to convert the weight from pounds to kilograms. Since 1 pound is approximately 0.4536 kilograms, the man's weight of 154 pounds is equal to 69.85 kilograms (rounded to two decimal places).
Next, we need to convert the height from inches to meters. Since 1 inch is equal to 0.0254 meters, the man's height of 70 inches is equal to 1.778 meters (rounded to three decimal places).
Now, we can calculate the BMI using the formula:
BMI = 69.85 kg / (1.778 m)^2
Calculating this expression, we find that the man's BMI is approximately 22.09 (rounded to two decimal places).
In summary, the man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.
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Please help me with this
Answer:
200-225
Step-by-step explanation:
trust me haha
Please answer question!
Answer:
23ft
Step-by-step explanation:
What is the value of,
(-22)-((-23) - (-17) -(-61)]
Answer:
45
Step-by-step explanation:
Take the square of every integer between $-20$ and $20$ (including $-20$ and $20$), and write them down on a list. The first few numbers in the list should be $(-20)^2 = 400$, $(-19)^2 = 361$, and $(-18)^2 = 324$. How many different numbers are there on the list
Answer:
There are 21 distinct numbers on the list
Step-by-step explanation:
Square of integers between - 20 and 20
-20² = 400
-19² = 361
-18² = 324
-17² = 289
-16² = 256
-15² = 225
-14² = 196
-13² = 169
-12² = 144
-11² = 121
-10² = 100
-9² = 81
-8² = 64
-7² = 49
-6² = 36
-5² = 25
-4² = 16
-3² = 9
-2² = 4
-1² = 1
0² = 0
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
11² = 121
12² = 144
13² = 169
14² = 196
15² = 225
16² = 256
17² = 289
18² = 324
19² = 361
20² = 400
If someone has done this before please help me.
The prove is as follows
Statement Reason
line BC || line DA Definition of parallelogram
Draw line AC Unique line postulate
AC = CA Reflexive property (common sides)
∠BAC = ∠DCA Alternate interior angles
∠BCA = ∠DAC Alternate interior angles
Δ ABC ≅ Δ CDA ASA triangle postulate
AB ≅ CD CPCTC theorem
BC ≅ DA CPCTC theorem
What is ASA postulate?The ASA (Angle-Side-Angle) postulate is a statement about the relationship between the angles and sides of triangles. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In other words, if two triangles have the same shape and size, then they are congruent.
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." This theorem states that if two triangles are congruent, then all their corresponding parts are congruent. In other words, if two triangles have the same shape and size, then all their angles and sides are congruent.
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Enumera toate numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5
To enumerate all the numbers between 60 and 70 that are divisible by both 4 and 5, we need to check each number in that range and see if it satisfies both conditions.
The answer to the question "Enumera toate numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5" is:
Numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5 sunt 60.
The explanations are given as follows:
Let's start with the number 60. We check if 60 is divisible by 4 by dividing it by 4 and seeing if the remainder is 0. In this case, 60 divided by 4 gives us a remainder of 0, so it is divisible by 4. Next, we check if 60 is divisible by 5 in the same way. Again, 60 divided by 5 gives us a remainder of 0, so it is divisible by 5 as well. Therefore, 60 satisfies both conditions and can be included in our list.
Moving on to the next number, 61, we repeat the same process. We divide 61 by 4 and 61 by 5 and check if the remainders are 0. If any remainder is not 0, then the number is not divisible by both 4 and 5. In this case, 61 is not divisible by either 4 or 5, so we exclude it from our list.
We continue this process for each number between 60 and 70. The numbers that satisfy both conditions, being divisible by 4 and 5, are included in our final list.
Based on this process, the number between 60 and 70 that can be divided exactly by both 4 and 5 is 60
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Find the volume of cuboid which is 9cm multiply 4cm multiply 5cm
The volume of cuboid with dimensions 9cm × 4cm × 5cm is 180 cm³
We know that the formula for the volume of the cuboid is:
V = l × w × h
where, V is the volume of the cuboid
l is the length of the cuboid
w is the width of the cuboid
and h is the height of the cuboid
Here, the length of the cuboid is l = 9 cm,
the width of the cuboid is w = 4 cm
and the height of the cuboid is h = 5 cm
Using above formula,
V = l × w × h
V = 9 × 4 × 5
V = 180 cubic cm
Therefore, the required volume is 180 cubic centimeters
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For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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How would I set up question one?
A straight line is 180 degrees:
25x + 8 + 9x + 2 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34:
X = 5
Now solve the smaller angle:
9x + 2 = 9(5) + 2 = 45 + 2 = 47
They angle with the y is a vertical angle to 47 so needs to also equal 47:
7y + 5 = 47
Subtract 5 from both sides:
7y = 42
Divide both sides by 7:
Y = 6
Answer: x = 5, y = 6
Please Help With This Math Question
The situations are classified as survey, observational study or experiment as follows:
3. Experiment.
4. Observational study.
5. Survey.
6. Survey.
7. Survey.
How to classify as survey, observational study or experiment?The definitions for each of these three cases are given as follows:
Survey: Measures features of a population according to a representative sample taken from the population.Observational study: Determine whether there is a relation between an existing characteristic of a population and a characteristic of interest.Experiment: Similar to an observational study, however, a change happens in the population, and the effects of the change are studied.More can be learned about surveys, observational studies and experiments at https://brainly.com/question/23966407
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Compute the total and annual returns on the following investment.
You pay $5500 for a municipal bond. When it matures after 18 years, you receive $11,100.
The total return is ____%?
(Do not round until the final answer. Then round to one decimal place as needed.)
The total return on the municipal bond investment is 101.8% and annual return is approximately 3.7%.
annual return is approximately 3.7%.
To compute the total return on the investment, you can use the formula:
Total Return (%) = (Final Value - Initial Value) / Initial Value * 100
In this case, the initial value is $5,500, and the final value when the bond matures after 18 years is $11,100. Plugging these values into the formula, we get:
Total Return (%) = ($11,100 - $5,500) / $5,500 * 100 = $5,600 / $5,500 * 100 = 101.8%
Next, to compute the annual return, we can use the formula:
Annual Return (%) = [(Final Value / Initial Value)^(1 / Years)] - 1
Plugging the values into the formula, we get:
Annual Return (%) = [($11,100 / $5,500)^(1 / 18)] - 1 ≈ 0.037 or 3.7%
Thus, the total return on the municipal bond investment is 101.8%, and the annual return is approximately 3.7%.
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Please I need help on a true or false
Answer:
True.
Explanation:
When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)
What is the equation for the graph?
Answer:
Standard Form:
\(y = {x}^{3} - 3 {x}^{2} + 3x - 4\)
Another Form:
\(y = (x - 1)^{3} - 3\)
Step-by-step explanation:
The type of graph or function is called Cubic Function
The type of graph is represented by the equation of y = a(x-h)³+k
Thus our equation for the graph is
\(y = {(x - 1)}^{ 3} - 3\)
In case if you want standard form.
Simplify the expression.
\((x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \)
\(y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4\)
The question is attached
a). The distance between A and C is derived to be 42° to the nearest degree.
b). The bearing of the point C with respect to A is equal to 72°
What is bearing?Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.
Let ∆ABC be the triangle formed with bearings so that:
angle B = 30° + 90° + 15°
angle B = 135°
AB = 20km
BC = 25km
a). The distance between A and C is calculated using the cosine rule as follows:
AC² = 20² + 25² - 2(20)(25)cos135° {cosine rule}
AC² = 1025 + 707.1068
AC = √1732.1068 {take square root of both sides}
AC = 41.6186 approximately 42°
b). The bearing of the point C with respect to A is the angle from the north of A to the line AC, so;
bearing of the point C with respect to A = 30° + 42° = 72°
Therefore, the distance between A and C is derived to be 42° to the nearest degree and the bearing of the point C with respect to A is equal to 72°
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Solve the simultaneous equations 4 x + 3 y = − 10 4 x + y = − 14
Answer:
x = - 4, y = 2
Step-by-step explanation:
First equation: 4x + 3y = - 10
Second equation: 4x+y= - 14
To solve simultaneously:
Rearrange one of the equations and substitute the equation to another equation, I prefer rearranging the second equation because it is easier.
Rearranging the second equation to get y, and then substitute back to the first equation to find x:
y = - 14 - 4x ------> new second equation
Substitute y (new second equation) into the first equation to find x:
4x +3(-14 -4x) = - 10
4x - 42 - 12 x = - 10
- 8x - 42 = -10
-8x = - 10 + 42
- 8x = 32
8x = - 32
x = - 4
Now we substitute x = - 4 to the second equation to find y:
4x + y = - 14
y = - 14 - 4(-4)
y = - 14 - (-16)
y = - 14 + 16
y = 2
Solve for x. each figure is a parallelogram
it's 40 points for the 4
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
This is the back side Pls help
The time interval that Bill was between 10 and 15 miles from the dam was between 0.7 hours and 0.8 hours.
Bill overtook Joann on the trip and did it 37.5 miles away from the Pecos River High Bridge at that time.
How to find the time interval and distance ?Find out how long it took Joann and Bill to reach the dam.
For Joann:
Distance = 50 miles
Speed = 25 mph
Time (Joann) = Distance / Speed = 50 miles / 25 mph = 2 hours
For Bill:
= 50 miles / 50 mph = 1 hour
Now let's find the time interval when Bill was between 10 and 15 miles from the dam.
Time 10 miles = Distance travelled / Speed = 40 miles / 50 mph = 0.8 hours
Time 15 miles = Distance travelled / Speed = 35 miles / 50 mph = 0.7 hours
So, Bill was between 10 and 15 miles from the dam during the time interval between 0.7 hours and 0.8 hours.
Since Bill covered 50 miles while Joann covered only 43.75 miles, Bill overtook Joann on the trip. To find when and at what distance from the Pecos River High Bridge they met, we can set up an equation:
25 x Time Joann = 50 x Time Joann - 50 x 0.75
25 x Time Joann = 50 x Time Joann - 37.5
25 x Time Joann = 37.5
Time Joann = 1.5 hours
Find the distance from the Pecos River High Bridge:
Distance = Speed x Time = 25 mph x 1.5 hours = 37.5 miles
So, Bill overtook Joann 1.5 hours after Joann started, and they were 37.5 miles away from the Pecos River High Bridge at that time.
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The first part of the question is:
Lake Amistad is hosting a fishing tournament with all boats docking at the Pecos River High Bridge, approximately 50 miles from Lake Amistad dam. Joann and Bill heard that large striped bass were biting around the dam, so both are taking their boats to go fishing at the base of the dam. Joann rose early to head to the dam. Her boat averaged 25 mph. Bill did not get off until 45 minutes later. His boat averaged 50 mph.
Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000
A right triangle has a leg of 11 and a hypotenuse of 16. Find the missing leg (in simplest radical form)
Answer:
11.6
Step-by-step explanation:
a^2 + b^2 = C^2
121 + b^2= 256
b^2 = 135
b = 11.6