The numbers that are written in scientific notation are:
12 * 10^66.89 * 10^64 * 10^-1What is scientific notation?The concept here is scientific notation, which can be expresed as a*10^b. where a is the digits and a is the power.
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as standard form in the UK and scientific form, standard index form, and standard form.
Therefore, option A , C and F are correct.
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The numbers that are written in scientific notation are:
12 * 10^66.89 * 10^64 * 10^-1How to determine the numbers in scientific notation?From the question, we have the following parameters that can be used in our computation:
The list of options
As a general rule of scientific notation, the numbers can be repesented as
a * 10^b
Where the variable a is any number between 1 and 10
And b is a real number
Using the above as a guide, we have the following:
12 * 10^66.89 * 10^64 * 10^-1Other numbers are not in scientific notation
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In the diagram below, l // m and cut by a transversal. What is the special relationship of angles 1 and 2?
The relationship between angle 1 and 2 is alternate exterior angles.
How to find angle relationship?When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, same side interior angles, alternate exterior angles, vertically opposite angles.
The parallel lines are line m and line l. The parallel lines l and m are cut by a transversal line and the angles formed are angle 1 and 2. This establish an angle relationship.
Therefore, the angle 1 and angle 2 forms an angle relationships.
Hence, the special relationship of angle 1 and 2 are alternate exterior angles.
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6cm+L=11cm
CAN SOMEONE PLEASE HELP ME
Answer:
L = 5cm
Step-by-step explanation:
Subtract 6 from both sides.
L = 11-6 cm
L = 5cm
Brainliest please.
How could you figure out the factors of the number 486 if you don't already know them?
The factors of 486 can be figured out by expressing it as products of its prime numbers, that is 486 = 2 × 3 × 3 × 3 × 3 × 3
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the the number.
The first five prime numbers are 2, 3, 5, and 7. We shall divide the number 486 with prime numbers that are factors beginning with 2;
486/2 = 243
2 is not a factor of 243, the next prime number 3 is, so;
243/3 = 81
81/3 = 27
27/3 = 9
9/3 = 3
3/3 = 1
Therefore, the number 486 expressed as product of its prime factors is 486 = 2 × 3 × 3 × 3 × 3 × 3.
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Find all of the cube roots of 11 and write the answers in rectangular (standard) form.
To solve this we must be knowing each and every concept related to cube root and its calculations. Therefore, the cube roots of 11 is 2.223.
What is cube root?In a nutshell, the cube roots of almost any integer is the component that we multiply on its own three times to produce the specific values. Remember that now the cube roots of an integer is the inverse of its cubing.
Only when yyy= x is the cube root of such a number x , a number y. All nonzero real numbers get one actual cube root and two complex conjugated cube roots, while all nonzero complex numbers possess three distinct complex cube roots. The cube roots of 11 is 2.223.
Therefore, the cube roots of 11 is 2.223.
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graph f(x)=-x|x+1|-1
include interval
8 ≤ x > 5
Answer:
Here is the answer graphed:
Find the area inside the larger loop and outside the smaller loop of the limaçon r=1/2+cos θ
The area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].
The given equation is [tex]r=\frac{1}{2}+cos\theta[/tex].
The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The relationship between rectangular and polar coordinates is:
[tex]x=rcos\theta[/tex]
[tex]y=rsin\theta[/tex]
[tex]r^2=x^2+y^2[/tex]
[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]
[tex]J=r[/tex]
The area between the curve [tex]r=f(\theta)[/tex] and two polar radius corresponding to [tex]\theta_1=\alpha[/tex] and [tex]\theta_2=\beta[/tex] is:
[tex]A=\frac{1}{2}\int_{\alpha}^{\beta}[f(\theta)]^2d\theta[/tex]
We have that:
[tex]\frac{1}{2}+cos\theta=0[/tex]
[tex]cos\theta=-\frac{1}{2}[/tex]
[tex]\theta_1=\frac{2\pi}{3}[/tex]
[tex]\theta_2=\frac{4\pi}{3}[/tex]
Then, the top half of larger loop of the Limacon is defined on the interval [tex][0, \frac{2\pi}{3}][/tex] and bottom half of smaller loop is defined on the interval [tex][\frac{2\pi}{3}, \pi][/tex].
Therefore, the area inside the larger loop and outside the smaller loop of the given Limacon will be:
[tex]A=2\frac{1}{2}[\int_0^{2\pi/3}(\frac{1}{2}+cos\theta)^2d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{2}+cos\theta)^2d\theta][/tex]
[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta[/tex]
[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta\frac{1}{2}+\frac{cos2\theta}{2})d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+\frac{1}{2}+\frac{cos2\theta}{2})d\theta[/tex]
[tex]= (\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_0^{2\pi/3}-(\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_{2\pi/3}^{\pi}[/tex]
[tex]= \frac{\pi}{2}+sin\frac{2\pi}{3}+\frac{1}{4}sin\frac{4\pi}{3}-(\frac{3\pi}{4}-\frac{\pi}{2}-sin\frac{2\pi}{3}-\frac{1}{4}sin\frac{4\pi}{3})[/tex]
[tex]= \frac{\pi}{4}+\sqrt3-\frac{1}{4}\sqrt3[/tex]
[tex]= \frac{\pi+3\sqrt3}{3} u^2[/tex]
Therefore, the area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].
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Use numerals instead of words. If necessary, use / for the fraction bar. If p - 1 is a factor of p^4 + p^2 + p - k, the value of k is:____.
Use numerals instead of words, the value of k is equal to [tex]p^3[/tex].
Let p and k be two integers. Since p - 1 is a factor of p^4 + p^2 + p - k, then we can express the equation as follows:
[tex](p - 1)(x) = p^4 + p^2 + p - k[/tex]
By expanding the left side of the equation, we can write:
[tex]p^4 - p^3 + p^2 - p + x = p^4 + p^2 + p - k[/tex]
Simplifying the equation, we get:
[tex]-p^3 + x = -k[/tex]
Therefore, the value of k is equal to p^3.
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If p - 1 is a factor of polynomial p^4 + p^2 + p - k, the value of k is: 3
In this question we have been given a polynomial p^4 + p^2 + p - k .
We need to determine the value of k if p - 1 is a factor of p^4 + p^2 + p - k
Since p - 1 is factor of p^4 + p^2 + p - k, p - 1 = 0
Consider p - 1 = 0
p = 1
This means p = 1 is root of given polynomial.
For p - 1 to be a factor the polynomial , on p = 1 submitting should equate to 0
i.e., p^4 + p^2 + p - k = 0
1^4 + 1^2 + 1 - k = 0
1 + 1 + 1 - k = 0
3 - k = 0
3 - k + k = 0 + k
k = 3
Therefore, the value of k is: 3
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help! this is due today and i dont know the answer . help !!
if you don’t know what the answer is you go on Brainly and look up the answer
What are the first five terms of the following sequence?
a1 = 36, an = an – 1 – 6
6, 12, 18, 24, 30
36 comma 6 comma 1 comma one sixth comma one thirty sixth
36, 30, 24, 18, 12
36, 42, 48, 54, 60
The first five terms of the given arithmetic sequence is; 36, 30, 24, 18, 12
What is the nth term of the arithmetic sequence?The general formula for the nth term of an arithmetic sequence is;
aₙ = a + (n - 1)d
where;
a is first term
n is number of term
d is common difference
We are given;
First term; a₁ = 36
Formula for nth term of the sequence;
aₙ = aₙ₋₁ - 6
Thus;
Second term; a₂ = a₂₋₁ - 6
a₂ = a₁ - 6
a₂ = 36 - 6
a₂ = 30
Similarly;
Third term; a₃ = 30 - 6
a₃ = 24
Fourth term; a₄ = 24 - 6
a₄ = 18
Fifth term; a₅ = 18 - 6
a₅ = 12
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What the answer to this need it because it are home work for school tomorrow in I got my question I need to post so can someone help me
The angle P in the intersected line is 35 degrees.
How to find the angles in intersected lines?Two angles are called complementary if their measures add to 90 degrees
Therefore, angles N and P are complementary angles.
The angle M is 125 degrees.
Hence, Let's find the measure P.
Therefore,
N + P = 90°
Let's find the angle N. The sum of angle M and N is 180 degrees. The angle M is given as 125 degrees. Therefore,
180 - 125 = N (sum of angles on a straight line)
N = 55 degrees
Therefore, let's subtract the angle N from 90 degrees to get the angle P as follows:
P = 90 - 55
P = 35 degrees.
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What is the slope of the line that passes through the points (0, 0)(0,0) and (0, 5)(0,5)? Write your answer in simplest form.
The slope of the line is 0
How to determine the slopeIt is important to note that the formula for the equation is expressed as;
y = mx + c
Where;
c is the intercept on the y - axism is the slope of the iiney is a point on the y - axisx is a point on the x - axisFrom the information given, we have the points
(0, 0) (0, 5)
The formula for calculating the slope of a line is expressed as;
Slope, m = y₂- y1/x₂ - x₁
Substitute the values
Slope, m = 5 - (0)/ 0 - 0
Subtract the values
Slope, m = 5/ 0
Divide the values
Slope, m = 0
Hence, the value is 0
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stacia walked a total of 30,375 feet . if 2 miles is 10,560 feet , how far did stacia walk ?
Answer: 2025/352
Step-by-step explanation:
Formula : 30375 x 2 / 10560
Simplified : 2025/352
Mixed number form: 5 265/352.
Hope this helped!
Answer:
Staсia walked a total of 5 miles and 3,975 feet
Step-by-step explanation:
If two miles is 10,560 feet, then one mile is half that:
10,560 / 2 = 5280 feet.
Let's see how many whole miles fit into 30,375 feet?
30,375 // 5,280 = 5 miles.
Now we calculate the remainder:
30,375 - 5,280 * 5 = 30,375 - 26,400 = 3,975 feet.
So Staсia walked a total of 5 miles and 3,975 feet.
Help me answer this question for 10 points!!!!!!!!!!!!!!!
Tammy weekly pay as a baby sitter is 60 dollars.
The equation that can be used to find the weekly amount Tammy made baby sitting is 45 = 15 + 1 / 2x
How to find the equation that can be use to represent weekly amount made on baby sitting?Tammy receives a weekly pay from her job as a baby sitter. she spent half of this weeks pay at the bowling alley but earn an additional 15 dollars for walking the neighbours dog. She did not spend any additional money and finish the week with 45 dollars.
Tammy weekly pay as a baby sitter can be calculated as follows:
let
x = Tammy weekly pay as a baby sitter
She spent half of it on bowling alley = 1 / 2x
Therefore,
45 = 15 + 1 / 2x
45 - 15 = 1 / 2 x
30 = 1 / 2 x
cross multiply
x = 60 dollars
Therefore,
amount earned baby sitting = 60 dollars
The equation to find her weekly pay is 45 = 15 + 1 / 2x .
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Write a function rule for the table below. please help i will mark you brainliest!!
Function rules will always be based on the formula y = mx + b.
You can use this formula to set up an equation with the numbers in your current problem.
y = mx + b
-6 = 2(1) + -8
Hence, the function rule would be expressed as:
y = 2x + (-8)
Destiny answered 75 percent of the questions on a quiz correctly if she answered 15 questions correctly how many questions are on the quiz? Grade 6 unit 3 reveiw
well, the quiz really has "x" questions, which oddly enough is the 100%.
we also know that Destiny answered 15, and that's 75%, what the dickens is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 15& 75 \end{array} \implies \cfrac{x}{15}~~=~~\cfrac{100}{75} \\\\\\ \cfrac{ x }{ 15 } ~~=~~ \cfrac{ 4 }{ 3 }\implies 3x=60\implies x=\cfrac{60}{3}\implies x=20[/tex]
What is the exact value of sin 170⁰ cos 55⁰ cos 170⁰ sin 55⁰? a. startfraction startroot 2 endroot over 2 endfraction b. startfraction startroot 3 endroot over 2 endfraction negative c. startfraction startroot 2 endroot over 2 endfraction negative d. startfraction startroot 3 endroot over 2 endfraction
The exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ is -0.707.
The right expression is sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰.
We have to find the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰.
The angles and sides of a right-angle triangle are measured using these trigonometric values. Cotangent, secant, and cosecant are the other three significant values in addition to sine, cosine, and tangent.
To solve this question we use the formula
sin(A+B) = sinA cosB + cosA sinB
If we compare the given expression by the formula, we get
A = 170⁰ and B = 55⁰
So the exact value of
sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ = sin(170⁰ + 55⁰)
sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ = sin(225⁰)
Using the calculator the value of sin(225⁰) = -0.707
sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ = -0.707
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The exact value of sin 170° cos 55° cos 170° sin 55° is startfraction startroot 3 endroot over 2 endfraction negative.
The exact value of sin 170° cos 55° cos 170° sin 55° can be calculated using the trigonometric identities.
First, the double angle identities for sine and cosine can be used to express the given expression as:
sin 170° cos 55° cos 170° sin 55° = (sin 170°)2 cos 55° (cos 170°)2 sin 55°
Now, applying the double angle identities for sine and cosine, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 + cos 340°) (1 + cos 110°)
Now, using the cosine addition formula, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (2 cos 170° cos 170°)
Now, applying the double angle identity for cosine, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (sin 170°)2)
Now, applying the Pythagorean identity, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (1 - (cos 170°)2))
Now, using the cosine addition formula, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (2 cos 170° cos 170° - 1)
Finally, applying the double angle identity for cosine, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (cos 340°)2)
Now, applying the Pythagorean identity, the given expression can be written as:
sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (2 startfraction startroot 3 endroot over 2 endfraction)2)
Therefore, the exact value of sin 170° cos 55° cos 170° sin 55° is startfraction startroot 3 endroot over 2 endfraction negative.
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Please help
A rectangular wall is 4x - 5 units high and 2x + 7 units
long. Which polynomial best represents the area of the wall
in square units?
8x² - 38x + 35
8x² + 38x +35
8x² + 18x - 35
8x²-18x - 35
Answer:
[tex]8x^2+18x-35[/tex]
Step-by-step explanation:
(4x-5)(2x+7) -> since its area
8x^2+28x-10x-35
so final answer is
8x^2+18x-35
which means its C
Answer:
8x^2 + 18x - 35 would be ur answer
Step-by-step explanation:
The temperature at sunrise is F. Each hour, the temperature rises F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours. What is the graph of the equation?
The equation that models the temperature y, in degrees Fahrenheit, after x hours is y = 42 + 7x
How to determine the equation that models the temperatureFrom the question, we have the following parameters that can be used in our computation:
Initial temperature = 42°F
Rate of increment = 7°F
These parameters mean that:
Given that the temperature at sunrise is 42°F.Each hour, the temperature rises 7°F.We need to find the equation that models the temperature y, in degrees Fahrenheit, after x hours.
This is calculated as
y = Initial temperature + Rate * Number of hours
Substitute the known values in the above equation, so, we have the following representation
y =42 + 7x
The above equation models the temperature y, in degrees Fahrenheit, after x hours.
Next, we draw the graph by taking few points from the equation
x 0 1 2 3
y 42 49 56 63
See attachment for the graph
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Complete question
The temperature at sunrise is 42°F. Each hour, the temperature rises 7°F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours. What is the graph of the equation?
At an animal rescue, 40% of the animals are dogs and 60% of the animals are cats. If the average age of the dogs is 9 months and the average age of the cats is 2 months, what is the average age of all the animals?
3.6
4.8
5.5
6.2
Answer:
B. 4.8
Step-by-step explanation:
The average age of all the animals is B. 4.8.
How to calculate the average?From the information, at the animal rescue, 40% of the animals are dogs and 60% of the animals are cats. If the average age of the dogs is 9 months and the average age of the cats is 2 months.
To find the average age of all the animals, we need to calculate the weighted average of the ages of the dogs and cats, where the weights are the proportions of dogs and cats in the rescue.
The average age of all the animals is:
(0.4 * 9 months) + (0.6 * 2 months)
= 3.6 months + 1.2 months
= 4.8 months.
So the average age of all the animals at the rescue is 4.8 months.
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These cards can be sorted into three pairs, where each pair adds to the same number. What is this number?
-8
0
-3
4
-1
-4
These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The addition of these following three pairs is given as follows:
-5 + 0 = -5.
-3 - 2 = -5.
-8 + 3 = -5.
Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.
The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.
Therefore, the correct option is C. -5.
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Find the angle of elevation of the sun from the ground, when a tree that is 11yrds tall casts a shadow 10yrds long
Check the picture below.
[tex]tan(\theta )=\cfrac{11}{10}\implies tan^{-1}[tan(\theta )]=tan^{-1}\left( \cfrac{11}{10} \right) \\\\\\ \theta =tan^{-1}\left( \cfrac{11}{10} \right)\implies \theta \approx 47.73^o[/tex]
Make sure your calculator is in Degree mode.
Two objects are in motion towards each other. The first has a mass of 10 kg and a velocity of 7 m/s. The second object has a mass of 10 kg and a velocity of 14 m/s. What would be the total momentum between the objects during the collision?
The total momentum between the objects during the collision is 210 kgm/s
What is momentum?Momentum is the product of the mass of an object and its velocity.
What would be the total momentum between the objects during the collision?Since two objects are in motion towards each other. The first has a mass of 10 kg and a velocity of 7 m/s. The second object has a mass of 10 kg and a velocity of 14 m/s, from the law of conservation of momentum, the total momentum during the collision is the sum of their momenta.
So, the total momentum P = p + p' where
p = momentum of first object = mv where m = mass of first object and v = velocity of first object and p' = momentum of second object where m' = mass of second object and v' = velocity of second objectSo, P = mv + m'v'
Given that
m = 10 kg, v = 7 m/s, m' = 10 kg and v' = 14 m/sSubstituting the values of the variables into the equation for total momentum, we have
P = mv + m'v'
P = 10 kg × 7 m/s + 10 kg × 14 m/s
P = 70 kgm/s + 140 kgm/s
P = 210 kgm/s
So, the total momemtum is 210 kgm/s
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Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Jack's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $24.98 per week. After 6 weeks, he had $125.85 in the account. What was the balance when the account went into overdraft? HELPPPPPPPPPP
Answer:
Step-by-step explanation:
His balance was -24.03
A town covering an area of 104 km^2 is shaped like a rhombus. Two roads join opposite corners of the town. If one of the roads is 13 km long, how long is the second road?
Give a solution with steps.
Answer:
Pray to Jesus to get your answer
If you multiply a number by 3 and divide by 4, the result is 24. What is the number?.
Answer:
32
Step-by-step explanation:
This is the step by step explanation
32×3=96
96÷4=24
Three different mixtures contain small amounts of acetic acid. Mixture A is 0.036 acetic acid, Mixture B is 4.2% acetic acid, and Mixture C is 1/22 acetic acid. Explain how to use this information to determine which mixture contains the greatest amount of acetic acid.
The mixture that contains the greatest amount of acetic acid is the mixture C.
What is a mixture?A mixture is a substance that contains tow ore more constitutes in various quantities which may or may not be able to be separated.
To determine the mixture with a greater amount of acetic acid, all the mixtures are converted to decimal forms such as the following:
Mixture A = 0.036 acetic acid ( already in a decimal form)
Mixture B = 4.2% = 4.2/100 = 0.042
Mixture C = 1/22 = 0.046
Therefore,the mixture that has the highest amount of acetic acid = mixture C.
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Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000. The real estate market in his area has been falling since that time, and the property has decreased in value by 3.8% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually. Assuming that Wayne has kept his apartment complex constantly three-quarters full, what will his net profit or loss be when he sells the building, to the nearest hundred dollars? a. $61,500 loss b. $722,400 loss c. $168,000 profit d. $606,000 profit
His net profit when he sells the building, to the nearest hundred dollars is d. $606,000 profit.
How can the net profit be calculated?We were told that ;
The twenty-room apartment complex that Wayne purchased for $759,000 fifteen years ago is scheduled to be put up for sale.
Since then, the local real estate market has been in decline, and the property's value has dropped by 3.89% annually.
Each of Wayne's units rents for $495 a month, and he spends $26,400 a year on building maintenance.
Assume Wayne has consistently maintained a three-quarter occupancy rate at his apartment building.
Annual Revenue can be calculated as [Monthly Rent * Number of Rooms Number of months * Three-quarters]
If we input the values, we have = [495 * 20 * 12 (3/4)]
= $89100
Then the Total Profit can be calculated as the [Annual Revenue - Annual Cost) * (Number of years)]
And this can be computed as :
= (89100 - 26400) * 15
= $940500
Then the Net Profit can be compued as [ Value of the building at the end of the 15th year + Total profit from renting - Cost of the building]
= [424490.38 + 940500 - 759000 ]
= 605990.38
= $606000
Therefore, option D is correct.
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Given the matrices A A and B B shown below, find B − A . B−A. A = [ 4 − 4 5 3 2 − 4 2 2 5 ] B = [ 4 0 − 1 1 − 2 2 − 5 3 − 1 ] A= ⎣ ⎡ 4 3 2 −4 2 2 5 −4 5 ⎦ ⎤ B= ⎣ ⎡ 4 1 −5 0 −2 3 −1 2 −1 ⎦ ⎤
The value of B-A of the matrices is:
[0 5 -10]
B - A = [-3 -4 7]
[-1 0 -6]
How to determine the value of B-A?A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.
The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.
We can find the value of B - A of the matrices by subtracting corresponding values of the element of each matrix. That is:
[4 -4 5]
A = [3 2 -4]
[2 2 5]
[4 1 -5]
B = [0 -2 3]
[1 2 -1]
[4-4 1-(-4) -5-5]
B - A = [0-3 -2-2 3-(-4)]
[1-2 2-2 -1-5]
[0 5 -10]
B - A = [-3 -4 7]
[-1 0 -6]
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Complete Question
Given the matrices A and B shown below, find B − A .
[4 -4 5]
A = [3 2 -4]
[2 2 5]
[4 1 -5]
B = [0 -2 3]
[1 2 -1]
find the volume of a pyramid , where the side length of the base is 16.6 and the height is 10.1
The volume of a square based pyramid is 927.7 cubic centimeter.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a square base pyramid with the side length of the base is 16.6 and the height of the pyramid is 10.1 m.
We know that, the volume of square based pyramid =a²h/3.
Here, volume = 16.6²×10.1/3
= 275.56×10.1/3
= 927.7 cubic centimeter
Therefore, the volume of a pyramid is 927.7 cubic centimeter.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the volume of a pyramid with a square base, where the side length of the base is 16.6 and the height of the pyramid is 10.1 m. Round your answer to the nearest tenth of a cubic meter.
Translate this sentence into an equation.
Six more than the quotient of a number and 7 is equal to S
Use the variable c for the unknown number.
The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.
What is the quotient?
A quotient is defined as when dividing one number by another, the result is called the quotient.
What is the equation?
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given a variable c therefore, the translation of the given equation :
six more than can be expressed as 6+ or +6.
A quotient, commonly known as c/7, is the solution to a division issue and can also be a fraction.
and "equals 5" is clearly equal to 5 or =5, hence the result is 6 + (c/7) = 5.
The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.
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