Answer: A
Step-by-step explanation: While I'm sure there is an equation to solve this which I don't remember I used process of elimination to solve this, there are two right triangle and one of the triangles is sides a, 2, and b. Since B is across from the right angle, it is the hypotenuse, therefore b is greater than a, that means d and b cannot be correct, since a is the same in a and c, we can assume a=8, using Pythagorean Theorem. 8^2 + 2^2= b^2.
b^2 = 68
the square root of 68 can be simplified to 2 * square root of 17
You roll a 6-sided die.
What is P(odd)?
Write your answer as a fraction or whole number.
Answer: 3/6 or 1/2
Step-by-step explanation:
In a 6-sided die, there are 3 odd numbers 1,3 and 5. So. P(odd) is 3/6 or 1/2.
Find all real values of a such that the given matrix is not invertible. (HINT: Think determinants, not row operations. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) A= 0 1 a a 1 3 0 a 1 a =
All real values of a such that the given matrix is not invertible is -3.
To determine if a matrix is invertible, we can look at its determinant. A matrix is invertible if and only if its determinant is non-zero. Therefore, we need to find the values of a that make the determinant of matrix A equal to zero.
The determinant of matrix A is given by:
|A| = 0 1 a a 1 3 0 a 1 a
= 0(a(1)(1) - a(3)(1) + 1(0)) - 1(1(a)(1) - a(3)(0) + 1(0)) + a(1(3) - 1(0) + 0(a))
= -a + 3a + 3 - a
= a + 3
Therefore, the matrix A is not invertible when a = -3.
So the real value of a for which the matrix A is not invertible is -3.
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joe needs to transfer 28 quarts of oil into containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
This question is incomplete
Complete Question
Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Answer:
7 gallons is the correct answer
Joe needs to transfer 28 quarts of oil into 7 gallons
Step-by-step explanation:
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Correcting Joe's error, we have:
4 quarts = 1 gallon
28 quarts = x
Cross Multiply
4 quarts × x = 28 quarts × 1 gallon
x = 28 quarts × 1 gallon/ 4 quarts
x = 7 gallons
= 28 quarts/x gallons × 1 gallon/4 quarts
= (28 × x)/ ( 1 /4) = 7 gallons
Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons
If you deposit $1,000 every year in 20 years in a savings account that earns 7% compounded yearly. What is the future value of this series at year 20 if payments are made at the beginning of the period? $60,648.57 $43,865.18 $65,500,45 $40,995.49 If you deposit $3,000 every year for 15 years at an APR of 9% compounded monthly, what would be the future value at the end of this series? $90,757,36 $39,360.46 549,360,46 598,393,95 At what interest rate should you invest $1000 today in order to have $2000 dollars in 10 years? 7.2% 14.9% 6.2% 10%
The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.
To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value
P is the periodic payment
r is the interest rate per period
n is the number of periods
In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.
Plugging these values into the formula, we get:
FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07
= 1000 * [1.07^20 - 1] / 0.07
≈ 1000 * [2.6532976 - 1] / 0.07
≈ 1000 * 1.6532976 / 0.07
≈ 43,865.18
Therefore, the future value of this series after 20 years would be approximately $43,865.18.
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K= m-q/c solve for m
Binary not linear
The first picture is the question code
The second picture is an answer from Chegg but not good
enough
Please help me
Copy and paste the full contents of your binary_finder module into the box below. NOTES that you must read! - Your code will not be fully marked until the quiz has closed. - You must check your code w
Based on the information provided, it seems that you are encountering some issues with a module called "binary_finder."
The phrase "content loaded" suggests that you have loaded some content, possibly related to this module. "Binary not linear" indicates that the nature of the content or code you're dealing with is binary, which means it consists of zeros and ones.
You mentioned having two pictures, one showing the question code and another displaying an answer from Chegg, which you find insufficient. However, the actual content of those pictures was not provided. If you can share the code or describe the specific problem you're facing with the binary_finder module, I'll be happy to assist you further.
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What is the answer to this question
Answer:
4 is the answer to this question
Part C
How many combined bits of storage are there on the two tablets?
Part D
Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.
Part E
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.
Answer:
16 bits for part c. sorry I don't know part D or E.
Step-by-step explanation:
Answer:2.56x 10^11
Step-by-step explanation:
Combine like terms. what is a simpler form of the expression? − 3 ( − 4 y 3 ) 7 y
The simpler form of the expression −3(−4y^3)7y is 12y^4.
To combine like terms and simplify the expression −3(−4y^3)7y, we follow these steps:
Multiply the coefficients outside the parentheses:
-3 * -4 = 12
Multiply the variables inside the parentheses:
y^3 * y = y^4
Combine the results from steps 1 and 2:
12y^4
The simpler form of the expression −3(−4y^3)7y is 12y^4.
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Study the food web below and answer the following :
i. In the pyramid of numbers there is an increase in numbers towards the base. Mention a pyramid where the base will be smaller.
ii. Predict the impact of removing snakes from this food web
Answer:
predict the impact of removing snakes from this food web
what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?
Answer:
The mass of 3.5 moles of Ca (Sodium) is 140 g to two significant figures.
Ayaan deposited $746 into a tax-free savings account. He earns 2.15% interest. How much money will he have in his account after 6 months?
The amount that Ayaan will have in his tax-free savings account after 6 months of depositing $746 at 2.15% interest is $754.02.
What is the future value?The future value refers to the present value plus the interest.
The future value for this savings account can be computed using the simple interest system since there is no compounding of interest.
The initial deposit (present value) = $746
Interest rate = 2.15%
Savings period = 6 months
Future value = $754.02 ($746 + ($746 x 2.15% x 6/12)
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Factorisation
remove the bracket from the following
-9(-2k -3r)
Answer:
The correct answer is "18k+27r". A further explanation is provided below.
Step-by-step explanation:
The given expression is:
⇒ \(-9(-2k-3r)\)
As we know the identities, such as:
\(Plus(+)\times Plus(+)=Plus (+)\)\(Minus(-)\times Minus(-)=Plus(+)\)\(Plus(+)\times Minus(-)=Minus(-)\)\(Minus(-)\times Plus(+)=Minus(-)\)By applying the above identities in the given expression and after opening the brackets, we get
= \(-9(-2k-3r)\)
= \(18k+27r\)
(10 points) help!!! Pls
Answer:
There's 3 answers: the third, fourth, and the sixth one. 1 2 3
4 5 6
Step-by-step explanation:
The expression in the question gets simplified to p-6, and so does the third one, fourth one is just itself, and the sixth one also simplifies to p-6.
x = 2y – 1
2x + y = 13
Solve this system of equations.
Answer:
(5,3)
Step-by-step explanation:
Use desmos. I'll attach the graph below.
Solution is:
(5,3)
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply. -The expression 50ℎ represents the total charge for Rock the House Digital Designs. -The expression 75ℎ represents the total charge for Elegance Home Architects. -The cost for using Rock the House Digital Designs for an initial consultation only is $550. -If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper. -If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Answer:
The expression 75ℎ represents the total charge for Elegance Home Architects.
If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Step-by-step explanation:
Given the following :
Rock the house digital designs :
Initial consultation charge = $500
Additional hour of work for house plan = $50 /hr
Elegant Home Architect:
Charge = $75 / hr
h = number of hours fro which Johnson's family hires the design firm
Total amount charged by Elegant home Architect = 75 × h = 75h
Total amount charged by Rock the house digital design = (500 + 50h)
If h = 15 hours :
Total amount charged by Elegant home Architect = 75 × 15 = $1,125
Total amount charged by Rock the house digital design = (500 + 50(15)) = 500 + 750 = $1,250
Hence, Elegant home Architect is cheaper.
If h = 40 hours :
Total amount charged by Elegant home Architect = 75 × 40 = $3,000
Total amount charged by Rock the house digital design = (500 + 50(40)) = 500 + 2000 = $2,500
Hence, Rock the house digital design is cheaper.
Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
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Factor
x^2−15x+56
yall are so helpful
i dont get this at alllll
Answer:
(x-7) x (x-8)
Step-by-step explanation:
Rewrite -15x to -7x - 8x to get the equation x^2-7x-8x+56.
Then X multiplied (x-7)-8x+56, equals X multiplied (x-7)-8(x-7)
Finishing (x-7) x (x-8)
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled
by the function V(x)=x³-11x2 +31x -21. Given that x - 1 and x-7 are two of the dimensions, find
the missing dimension of the prism.
The missing dimension is___
========================================================
Explanation:
The -1 and -7 of x-1 and x-7 respectively multiply to (-1)*(-7) = 7
Let m be some unknown value such that 7m = -21. The solution is m = -3
This means (-1)*(-7)*(-3) = -21
Therefore the factorization is
\(\text{x}^3-11\text{x}^2+31\text{x}-21 = (\text{x}-1)(\text{x}-7)(\text{x}-3)\)
You can confirm this by expanding out the right hand side using the distributive rule. You should arrive at the original cubic after everything is simplified.
--------------
Another approach:
(x-1) and (x-7) are the two dimensions given to us.
They multiply to \(\text{x}^2-8\text{x}+7\) using either the box method, distributive rule, or FOIL rule. Feel free to pick your favorite method.
Then the task from here is to compute \(\frac{\text{x}^3-11\text{x}^2+31\text{x}-21}{\text{x}^2-8\text{x}+7}\) using polynomial long division. Unfortunately synthetic division will not work because the denominator isn't linear.
The polynomial long division is shown below.
Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
591.18
Step-by-step explanation:
Help will give brainiliest if correct
Answer:
The first answer choice= y = 50x
Step-by-step explanation:
Because you find a point on the graph that is exactly on a point and divide the y by the x and you get the constant. THen in the answer choices only y = 50x is a larger number than 25 which in this case is the constant!
Hope this Helps!
In your own words explain how to evaluate a function using function notation.
Answer:
In order to evaluate a function, replace the input variable (the number or expression given) (place holder, x). Replace the x by the number or word.
Step-by-step explanation:
9. Harold, a real estate developer, sells houses at $250,000 per house. If he sells 9 houses, how much be carn?
price per house : $250,000
number of houses: 9
To find how much he will earn (y) we have to multiply the price per house by the number of houses (x).
y = 250,000 x
Where x is the independent variable (number of houses) and y is the dependent variable (earnings)
Replacing x by the number of houses:
y = 250,000 ( 9) = $2,250,000
A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point
�
A, the boat’s crew measures the angle of elevation to the beacon, 13
∘
∘
, before they draw closer. They measure the angle of elevation a second time from point
�
B at some later time to be 20
∘
∘
. Find the distance from point
�
A to point
�
B. Round your answer to the nearest foot if necessary.
If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.
To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:
tan(13°) = 142/x
tan(20°) = 142/y
Solving for x and y, we get:
x = 142/tan(13°) ≈ 627.8 feet
y = 142/tan(20°) ≈ 401.2 feet
The distance between point A and point B is the difference between x and y:
x - y ≈ 226.6 feet
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Complete question is:
A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
A magical basket of pennies doubles every day. If the basket if full on the 15th day, on what day was the basket one-quarter full?
The basket of pennies will be 1/4 full on the 13th day
How to determine the day?From the question, the given parameters are:
Rate of change, r = 2 i.e. doubleFull basket, = 15th dayThe above parameters illustrate an exponential function
An exponential function is represented as
A(n) = A * (r)ⁿ⁻¹
Where
A represents the initial value
It is full on the 15th day
So, we have
1 = A *(2)¹⁵⁻¹
Evaluate
1 = A *(2)¹⁴
Divide by (2)¹⁴
A = (2)⁻¹⁴
Substitute A = (2)⁻¹⁴ in A(n) = A * (r)ⁿ⁻¹
A(n) = (2)⁻¹⁴ * (2)ⁿ⁻¹
When it is one-quarter full, we have
1/4 = (2)⁻¹⁴ * (2)ⁿ⁻¹
Multiply by (2)¹⁴
(2)¹² = (2)ⁿ⁻¹
By comparison, we have
n - 1 = 12
Add 1 to both sides
n = 13
Hence, the basket will be one-quarter full on the 13th day
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Factor the greatest common factor from: 4x^4 - 16^3 + 8x^2 + 12x
Please Help i need answer asap
Greetings from Brasil...
1:
Let's find the GCD (greatest common divisor) of the numbers (4, 16, 8 and 12)
GCD(4; 16; 8; 12) = 4
4 = 2²
16 = 2⁴ = 2² · 2²
8 = 2³ = 2² · 2
12 = 2² · 3
So, the common its 2² = 4
2:
For the polynomial:
X⁴ = X³ · X
X³ = X² · X
X² = X · X
X = X
So, the common its X
Faced with the GCD, we can factorize the polynomial:
4X → common factor of this polynomial
4X · (X³ - 4X² + 2X + 3)The greatest common factor of the given expression 4x⁴ - 16x³ + 8x² + 12x will be 4x.
What is the highest common factor?
The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
For example in 6 and 12 6 is the highest common factor.
Given the expression,
4x⁴ - 16x³ + 8x² + 12x
Taking our 4x as common
4x(x³ - 4x² + 2x + 3)
Now the 4x is the only common factor so it will the greatest common factor.
Hence "The greatest common factor of the given expression 4x⁴ - 16x³ + 8x² + 12x will be 4x".
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Mark works 24 hours a week and earns £11.63.
Calculate Mark's weekly basic pay and then find his annual salary
Weekly pay = amount per hour x number of hours:
24 x 11.63 = 279.12
Annual salary = weekly pay x 52 weeks:
279.12 x 52 = 14,514.24
If n(Ax B) = 72 and n(A) = 24, find n(B).
Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.
What is Cartesian product?The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.
In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.
For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.
By the question.
We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.
Using the formula for the size of the Cartesian product, we have:
n (Ax B) = n(A) x n(B)
Substituting the given values, we get: 72 = 24 x n(B)
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simplify: x + x + x + x + x + 2x *
Answer:
7x
Step-by-step explanation:
I think the answer would be 6x.
9m+3m= please solve step by step I need to submit now
Answer:
12m
Step-by-step explanation:
9+3=12
9m+3m=
12m