The solution of the expression (9t³n³)(−2t n²) will be -18t⁴n⁵.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (9t³n³)(−2t n²). The given expression will be solved as:-
E = (9t³n³)(−2t n²)
E = 9 x -2 x t³ x t x n³ x n²
E = -18 x t³⁺¹ x n³⁺²
E = -18t⁴n⁵
Therefore, the solution of the expression is E = -18t⁴n⁵.
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PLEASEEEE ASAPPPPPP
Find all values of x that make the triangles congruent. Explain your reasoning.
Answer:
The values of x that make the triangles congruent.
x = 6 and x = 3
Step-by-step explanation:
Given
AC = 5x-2DC = 3x+10AB = 5xDB = 4x+3Given that the triangles are congruent.
According to the SAS (Side-Side-Side)
AC = DC
AB = DB
so
AC = DC
substituting AC = 5x-2 and DC = 3x+10
5x-2 = 3x+10
5x-3x = 10+2
2x = 12
divide both sides by 2
2x/2 = 12/2
x = 6
and
AB = DB
substituting AB = 5x and DB = 4x+3
5x = 4x+3
5x-4x = 3
x = 3
Therefore, the values of x that make the triangles congruent.
x = 6 and x = 3
Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive him 18 miles per hour faster and gets him to school in 12 minutes. How far (in miles) is it from Jeremy's home to school?
Answer:
Step-by-step explanation:
18/60-12/60= 4 miles
just my guess
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What is the volume (V) of the cylinder shown below? Use 3.14 for .
V = arh
14 mm
10 mm
V
cubic millimeters
calculate the double integral. 6x 1 + xy da, r = [0, 6] × [0, 1] r
The value after double integration is 45.73
We can evaluate rectangle integrals in any order we like in Cartesian coordinates. We treat the other integral as a constant regardless of which integral we assess first; this is something to keep in mind while choosing the order of integration.
We want that x to be constant; we can easily integrate with respect to y. So we will evaluate y first. We get:
\(\int\limits^ \int\limits^ \frac{6x}{1+xy} dA=6\int\limits^6_0 \int\limits^1_0 {\frac{x}{1+xy} } \, dydx\)
\(or, 6\int\limits^6_0 {[In(1+xy)}_{0} ^{1} ]} \, dx\)
\(or, 6\int\limits^6_0 {In(1+x)} } \, -In 1dx\)
\(or, 6\int\limits^6_0 {In(1+x)} } \, dx\)
\(or,[(1+x)In(1+x)-(1-x)]^{6} _{0}\)
\(or,[7In7-In1-7+1]\\or,6(7In7-6)\\or,45.73\)
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factorise completely 15p^2q^2 + 25q^3
Answer:
5q²(3p² + 5q)
Step-by-step explanation:
15p²q² + 25q³ ← factor out 5q² from each term
= 5q²(3p² + 5q)
Hey there!
15p²q² + 25q³
= 5q²(3p² + 5q)
Just factorise the common factors out. In this case, the common factors are :- 5q².
Hope it helps ya!
Which of the following choices shows the simplified ratio of 15 feet: 210 feet?
1 ft: 14 ft
3 ft : 70 ft
5 ft : 70 ft
None of the choices are correct.
The simplified ratio is 1 ft : 14 ft.
To simplify the given ratio of 15 feet to 210 feet, you need to find the greatest common divisor (GCD) of the two numbers and then divide both by the GCD.
The GCD of 15 and 210 is 15.
Divide both numbers by the GCD:
15 ÷ 15 = 1
210 ÷ 15 = 14
So, the simplified ratio is 1 ft : 14 ft. The correct answer is the first option.
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
HELP PLS PICTURE DOWN BELOWW I RLLY NEED HELP
Answer:
Step-by-step explanation:
(6x2)/2=6
6x4=24
2x2=4
24+4=28cm^2
SOMONE PLEASE HELO ME SCHOOL ENDS NEXT WEEK
Answer:
sorry dont know 4 or 5 8. 9 but
6. 4 %
7. 60%
Step-by-step explanation:
a state makes license plates with three letters followed by 5 numbers. if repititions are allowed, how many different license plates numbers are possible?
The possible number of different license plates numbers with the repititions of three letters followed by 5 numbers are equals to 1757600000.
The fundamental counting principle states that if an event is made up of multiple sub-events, then total number of possibilities for the event is the product of the total possibilities of each individual sub-event. We have, a state makes license plates with three letters followed by 5 numbers and repetitions are allowed. We have to determine total different license plates numbers are possible. There are three letter required out of 26 letters and since they can be repeated so, we can place letters in 26×26×26 ways. Now, it is followed by 5 digits and we know digits are from (0 to 9) means 10 digits and they can be repeated. So, number of ways for selecting 5 digits = 10×10×10×10×10
So, total combinations are 26×26×26×10⁵
= 1757600000 ways
So, there is possible 1757600000 license plates can be made.
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-2 6 -73 -9 10 1 -3 3Use elementary row operations to reduce the given matrix to a) row echelon form and b) Reduced row echelon form
Using elementary row operations:
The row echelon form of the matrix is [1 -3/2 37/2 0 5/2 -11/2 0 0; 0 1 -7 0 1 -1 0 0; 0 0 0 1 -1 2 0 0]
The reduced row echelon form of the matrix is [1 0 -2 0 3 -1 0 0; 0 1 -7 0 1 -1 0 0; 0 0 0 1 -1 2 0 0].
Step 1: Write the matrix in its augmented form.
-2 6 -73 | -9
10 1 -3 | 3
Step 2: Perform elementary row operations to reduce the matrix to row echelon form.
Swap the first and second rows to ensure the largest absolute value is in the top left position.
Add 5 times the first row to the second row to eliminate the leading coefficient of the second row.
The matrix in row echelon form will look like this:
10 1 -3 | 3
0 6 -58 | -6
Step 3: Perform elementary row operations to reduce the matrix to a reduced row echelon form.
Divide the first row by 10 to get a leading coefficient of 1.
Add (58/6) times the second row to the first row to eliminate the third column in the first row.
Divide the second row by 6 to get a leading coefficient of 1.
The matrix in reduced row echelon form will look like this:
1 0 5 | -3/2
0 1 -29/3| -1
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Determine the direction angle (in degrees) for each vector: . Make sure you're using degrees instead of radians. • If you use a decimal approximation, you must be accurate to at least 3 decimal places. a. (5,2) has direction angle: 0: 21.801 b. (-2, 11) has direction angle: 101.31 c. (7,-3) has direction angle: d. (-8, -14) has direction angle: 0 60.26 Hint: Find the magnitude and the direction angle in degrees for: Magnitude: |||| = Direction angle: v = (-8√3,-8) Compute the sum: Hint: n=1 1 n+7
The given vectors are:(5,2), (-2,11), (7,-3), and (-8,-14).
The direction angle of a vector is the angle between the vector and the positive x-axis measured counterclockwise. Therefore, the direction angle of vector v = (x,y) is given by θ = tan⁻¹(y/x).a. For vector (5,2), direction angle is given by:θ = tan⁻¹(2/5) = 21.801 degrees (rounded to 3 decimal places)b.
For vector (-2,11), direction angle is given by:θ = tan⁻¹(11/-2) = 101.31 degrees (rounded to 3 decimal places)c. For vector (7,-3), direction angle is given by:θ = tan⁻¹(-3/7) = -23.198 degrees (rounded to 3 decimal places)Note that the direction angle here is negative because the vector points towards the negative x-axis.d.
For vector (-8,-14), direction angle is given by:θ = tan⁻¹(-14/-8) = 60.26 degrees (rounded to 3 decimal places)
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Compare profiles of temperature and salinity for Argo Float 108683 (ArgosID) in the Eastern Tropical North Pacific on April 16, 2012 (Profile 001) and April 16, 2016 (profile 138). Your first challenge is to first find the data. Make your own plots of temperature with depth, and salinity with depth (don't forget axis labels and units!). Compare the shape of the profiles as well as the surface features. Estimate the mixed layer depth and the main thermocline depths. Explain what you would expect the temperature profiles to look like in this region based on what you know about general ocean circulation. Why do you think there were differences between years?
To compare the profiles of temperature and salinity for Argo Float 108683 in the Eastern Tropical North Pacific on April 16, 2012 (Profile 001) and April 16, 2016 (Profile 138), follow these steps:
Locate the data: Visit the Argo Data Management site (http://www.argodatamgt.org/) and search for Argo Float 108683 using the ArgosID. Download the data for the specific dates (April 16, 2012, and April 16, 2016).
Plot the graphs: Using a data analysis tool like Excel or Python, create plots of temperature with depth and salinity with depth for both profiles. Ensure that you label the axes and include units.
Compare the profiles: Examine the shapes of the temperature and salinity profiles for both years, focusing on the mixed layer depth and the main thermocline depths.
Based on general ocean circulation, we would expect temperature profiles in the Eastern Tropical North Pacific to show a well-mixed layer near the surface with a rapid temperature decrease below the mixed layer depth, leading to the main thermocline.
Differences between years could be attributed to several factors, such as variations in seasonal weather patterns, changes in ocean circulation, or anomalies like El Niño events. These factors could affect the mixed layer depth, main thermocline depths, and surface features, leading to differences in the temperature and salinity profiles for the two years.
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Simplify completely
x2 + 4x - 45
and find the restrictions on the variable.
Answer:
(x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.
Step-by-step explanation:
Factor the numerator:
(x+9)(x-5)
Factor the denominator:
(x+1)(x+9)
So you have
(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?
You're left with (x-5)/(x+1)
The only number that is restricted is -1, because that would make the denominator zero, which is a no no!!
PLS HELP. brainliest if correct
Answer:
d) A = 8⁻⁹
Step-by-step explanation:
\(A^{\frac{-x}{9}}= (8^{-9})^{\frac{-x}{9}}\)
\(= 8^{-9*\frac{x}{-9}}\\\\=8^{x}\)
Please help!! Will mark brainlyest.
Answer:
C. the X coordinates will increase by 2.Step-by-step explanation:
Here are the examples:
If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.In this case, a X coordinate will increase by 2.
Correct choice is C.
what is the length of a mixed segment in a trapezoid with bases of 27 and X +8
Applying the trapezoid midsegment theorem, the length of the midsegment of a trapezoid whose bases are 27 and x a+ 8 is determined as: (x + 35) / 2.
What is the Trapezoid Midsegment Theorem?According to the trapezoid midsegment theorem, the length of the midsegment of a trapezoid is equal to the sum of the two bases divided by two.
The formula for finding the length of the midsegment of a trapezoid is therefore:
Length of midsegment = (sum of the two bases) / 2.
Given the length of the bases of a trapezoid as 27 and x + 8 respectively, therefore, according to the trapezoid midsegment theorem, we have the equation below:
Length of the midsegment = (27 + x + 8) / 2
Simplify by combining like terms:
Length of the midsegment = (x + 35) / 2
Therefore, the answer is, (x + 35) / 2.
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to solve the equation, x+5=12, what property do you use?
Answer: inverse operation, subtraction
Step-by-step explanation: The key insight here is that we want to solve for x , and in doing so, we need to undo any operation being applied to it. Right now, only 5 is being added to it, so to solve for it, we need to do the inverse operation, subtraction
If you mean this: How to solve multiplication property of equality?
Multiplication Property of Equality
For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).
I hope this is right :)
Unfortunately you injected lidocaine intra-arterially. The first sign of lidocaine toxicity would be, except....
a. circumoral numbness
b. tongue paresthesia
c. dizziness
d. cold
If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.
The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.
Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.
If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.
In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.
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Given sequence
7,5,2,1
Find the general term of the sequence
Answer:
Step-by-step explanation:
To make lines m and n parallel, identify the measures of Angle 3 and angle 4.
Answer:
<3 = 112 degrees
<4 = 68 degrees
Step-by-step explanation:
<3 = 112 degrees (Alternate angles are congruent)
And,
<4+<3 = 180 (Angles on a straight line add up to 180)
=> <4 + 112 = 180
=> <4 = 180-112
=> <4 = 68 degrees
5/9 (d - 12) = 10 A linear equation is shown above. Which of the following values of d is a solution to the equation?
For the given equation, the value of d = 30
How to solve an equation?To solve linear equations, utilize the steps that are provided below. Remove parenthesis from either side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.
Divide both sides of the equation by the coefficient of variable: d-12 = 10÷ 5/9
Divide a fraction by multiplying its reciprocal: d 9 -12=10 x 9/5
Write as a single fraction: d-12 = (10 x 9) / 5
Calculate the product or quotient: d-12= 90 / 5
Reduce fraction to the lowest term by canceling the greatest common factor: d-12 = 18
Rearrange unknown terms to the left side of the equation: d=18+12
Calculate the sum or difference: d=30
Answer: d=30
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Please help with this I’m really confused tbh thank you very much :) y’all are amazing
Answer:
1. ASA
2. SSS and SAS
Step-by-step explanation:
1. We know that two angles are congruent, and the side in between them is congruent, so the postulate we can use is the ASA postulate
2. SSS and SAS. We know that two sides are congruent. We can figure out that AC = AC by the reflexive property so we can use the SSS postulate. We can also use the SAS because two sides are congruent and the angle in between them is congruent too.
Figure A calculate the area of figure A
Area of the figure
Rectangle:
Area = length × width.
Square:
Area = side length × side length.
Triangle:
Area = (base × height) / 2.
Circle:
Area = π × radius²
Since I don't have access to the specific details or image of Figure A, I can't provide an accurate calculation or description of its area.
General explanation of how to calculate the area of different shapes commonly encountered in geometry.
The area of a shape is a measure of the surface it covers. Different shapes have different formulas for calculating their areas.
Here are the formulas for calculating the areas of some common geometric figures:
Rectangle:
The area of a rectangle is found by multiplying its length by its width.
The formula is:
Area = length × width.
Square:
A square is a special type of rectangle where all sides are equal.
To find its area, you multiply the length of one side by itself.
The formula is: Area = side length × side length.
Triangle:
The area of a triangle can be calculated using the formula:
Area = (base × height) / 2.
The base is the length of the bottom side, and the height is the perpendicular distance from the base to the top vertex.
Circle:
The area of a circle is found using the formula:
Area = π × radius², π (pi) is a mathematical constant approximately equal to 3.14159 and the radius is the distance from the center of the circle to any point on its edge.
These are just a few examples of common shapes.
Other shapes, such as parallelograms, trapezoids, and irregular polygons, have their own specific formulas for calculating their areas.
To accurately calculate the area of Figure A, I would need more information about its shape, dimensions, or any given measurements.
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WHY WILL NO ONE AWNSER ME yall are ufing stu Given that a quadratic function has an a -value of 5 and a vertex of (−7,1), what would be the equation of the function in vertex form.
Zip codes are numerical designations of locations for the purpose of mail delivery. The following histogram summarizes the number, in hundreds, of zip codes assigned to each state in the United States.
The five-number summary for these data is given below. How many high outliers are there in the data set?
Any state with a number of zip codes greater than 23.5 hundred would be considered a high outlier.
How can we determine the number of high outliers?Since the five-number summary for the data is not provided in the question, we cannot determine the number of high outliers. However, we can explain how to find the number of high outliers using the five-number summary.
To find the number of high outliers, we need to first calculate the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1). Any data point that is greater than Q3 + 1.5 × IQR is considered a high outlier.
The five-number summary consists of the minimum value, Q1, Q2 (the median), Q3, and the maximum value of the data set. Let's assume that the five-number summary for the data set is given as follows:
- Minimum value: 2
- Q1: 6
- Q2 (median): 9
- Q3: 13
- Maximum value: 30
To find the IQR, we can subtract Q1 from Q3:
```
IQR = Q3 - Q1 = 13 - 6 = 7
```
To find the high outliers, we need to add 1.5 times the IQR to Q3 and consider any zip codes greater than this value as high outliers:
```
High outliers = Q3 + 1.5 × IQR
High outliers = 13 + 1.5 × 7
High outliers = 13 + 10.5
High outliers = 23.5
```
Therefore, any state with a number of zip codes greater than 23.5 hundred would be considered a high outlier. Since we do not know the actual number of zip codes assigned to each state, we cannot determine the number of high outliers.
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Evaluate: 5 1
_ - ( _)
8 4
Answer:use some caulk
Step-by-step explanation:
I am a handy man myself
The digit 7 in which number represents a value of 0.7?
A) 199.7 B)67.4 C)52.47
Answer:
199.7
Step-by-step explanation:
as 7 is in the position of 0.7
Answer:
A) 199.7.
Step-by-step explanation:
0.7 or 7 tenths.
The first position after the decimal point is the tenths digit.
tions on NOTEPADS
SUS
Expand and simplify the following
6(x + 2) - 3(x + 4)
need this ASAP. pls answer this question
Answer:
this is ur answer so memories