Answer:
1 left 3 down
QUESTION 12
Solve the equation -8x+4y=24 for y.
Answer:
2x+6
Step-by-step explanation:
4y=8x+24
y=2x+6
If I = prt, which equation is solved for t?
O 1-pr=t
O
1-P-1
I
pr
O 1+pr=t
The solution of the equation for t is t = i/pr
How to determine the equation for t?The equation is given as
i = prt
Divide both sides of the equation by p
So, we have the following equation
i/p = prt/p
Divide both sides of the equation by r
So, we have the following equation
i/pr = prt/pr
Evaluate the quotients
i/pr = t
Rewrite as
t = i/pr
By the above computation, we changed the subject of the formula in i = prt from i to t.
This implies that solving for t is a concept of subject of formula
Hence, the solution is t = i/pr
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Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
If ,f(x)=1/4x+3 what is the equation for f–1(x)?
f–1(x) = 4x - 3
f–1(x) = 4(x - 3)
f–1(x) = 4(x + 3)
f–1(x) = 4x + 3
Answer:
\(f {}^{ - 1} (x) = 4(x + 3)\)
Step-by-step explanation:
We would like to find the inverse of the following function .
\(\longrightarrow f(x) = \dfrac{1}{4}x +3 \)
Step 1 : Replace \(f(x) \) with \(y \) . We have
\(\longrightarrow y =\dfrac{1}{4}x +3 \)
Step 2 : Interchange x and y :-
\(\longrightarrow x = \dfrac{1}{4}y + 3 \)
Step 3 : Solve for y :-
\(\longrightarrow x - 3 =\dfrac{1}{4}y \)
Multiply both sides by 4,
\(\longrightarrow 4(x-3) = y \)
Step 4 : Replace y with f-¹(x) :-
\(\longrightarrow 4(x -3)=f^{-1}(x) \)
Interchange the sides ,
\(\longrightarrow \underline{\underline{ f^{-1}(x)= 4(x-3)}}{}\)
And we are done !
PLEASE HURRY
Write the vector v in terms of i and j whose magnitude and direction angle are given ||v|| = 2/3, theta = 116 deg
The vector v can be expressed as v = -0.161 i + 0.618 j, where i and j are the unit vectors
To express a vector v in terms of i and j, we need to find its x and y components. The magnitude ||v|| of a vector is given by:
||v|| = √(v₁² + v₂²)
where v₁ and v₂ are the x and y components of v, respectively.
The direction angle θ of a vector with respect to the positive x-axis is given by:
θ = atan(v₂/v₁)
where atan denotes the arctangent function.
In this problem, we are given that the magnitude ||v|| of the vector v is 2/3, and its direction angle θ with respect to the positive x-axis is 116 degrees. Therefore, we can write:
||v|| = √(v₁² + v₂²) = 2/3
θ = atan(v₂/v₁) = 116°
Solving for the x and y components, we get:
v₁ = ||v|| cos(θ) = (2/3) cos(116°) ≈ -0.161
v₂ = ||v|| sin(θ) = (2/3) sin(116°) ≈ 0.618
Therefore, the vector v can be expressed as:
v = -0.161 i + 0.618 j
where i and j are the unit vectors in the x and y directions, respectively.
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Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?
Answer:
1/10
Step-by-step explanation:
First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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McMichael Inc. collects 25% of its sales on account in the month of the sale and 75% in the month following the sale. If sales on account are budgeted to be $523,000 fo September and $465,000 for October, what are the budgeted cash receipts from sales on account for October?
The budgeted cash receipts from sales on account for October is $479500.
Define sale.A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement involving the cost of a security and its delivery for agreed-upon payment between a buyer and a seller. Sales in general business operations refer to any exchanges of money or value for the right to possess a good or get a service. Sales, in the context of accounting, refers to the income generated by a corporation via the selling of goods or services (net sales).
Given Data
McMichael Inc. collects 25% of its sales on account in the month of the sale and 75% in the month.
If sales on account are budgeted to be $523,000 to September and $465,000 for October.
We can respond as follows based on the data provided in the question:-
25% of sales from October plus 75% of sales from September equal the budgeted cash receipts from sales.
Sales revenue budgeted for in cash is
($523,000 (25%)) + ($465,000 (75%))
130750 + 348750
479500
The budgeted cash receipts from sales on account for October is $479500.
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A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
Answer: 12° can be a possible angle of rotational symmetry
K
The sum of the first and third of three consecutive even integers is 160. Find the three even integers.
Three even integers are
(Use a comma to separate answers as needed.)
The three even integers are 78, 80 and 82
Linear functionLinear function is a function that has a linear degree of 1. Let the three consecutive integers be x, x + 2 and x+4 such that if the sum of the first and third of three consecutive even integers is 160, then;
x + x + 4 =160
2x + 4 = 160
2x = 160 - 4
2x = 156
x = 156/2
x = 78
Second number = 78 + 2 = 80
Third number = 78 + 4 = 82
Hence the three even integers are 78, 80 and 82
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sandy and sam have $25 to spend on chinese food.the chinese restaurqnt charges a $2.00. fee and $7 per selection.ehat is the domain for this situation?
Answer:
they will only have 16 dollars left
Question 4
A PE teacher orders 30 new bibs costing €3.99 each. What is the total cost of these bibs
Answer
Answer:
$119.70
Step-by-step explanation:
i just did 30x3.99
900 ÷ 10 =
7,900 x 10 =
What number is 10 times greater than 200?
What number is 10 times less than 300,000?
Answer:
900÷10= 90
7900×10= 79000
200×10= 2000
300000×10= 30000
x − 78 = 6(2x + 3) − 8
Adriana rode the Finding Nemo Submarine Voyage at Disneyland. The submarine traveled to 20 feet below sea level, then ascended 23 feet. What elevation is Adriana at now?
Answer:
3 feet
Step-by-step explanation:
so if she started at 0 feet, then descended 20 feet, she would be at -20 feet, then ascended 23 feet, she would then be at 3
0 - 20 = -20
-20 + 23 = 3
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.
Which equation can be used to find the high temperature for that day?
51 = 17h
51 = h + 17
51=h−17
h + 51 = 17
Answer:
c. 51=h−17
Step-by-step explanation:
the other ones dont make since and C is the only one that does.
B is 30 more than a. B is 6 times as many as a. What is the value of a and b ?
From the given condition if B is 30 more than a. B is 6 times as many as a. The value of a and B will be 6 and 36.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that B is 30 more than a. B is 6 times as many as a.
B = 30 + a -------------(1)
B = 6a -------------------(2)
Substitute the value of B from equation 2 in equation 1 we get,
6a=30+a
Rearrange the equation in order to find the value of an as
6a-a = 30
5a=30
a=6
Substitute the value of an in equation 1 as
B = 30 + a
B=30+6
B=36
Thus, from the given condition if B is 30 more than a. B is 6 times as many as a. The value of a and B will be 6 and 36.
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You have a globe that has a radius of 11 inches. Find the volume of your globe
Answer:5,575.3in cubed
Step-by-step explanation:
The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.
What is the volume of a sphere?A sphere is a three-dimensional shape analouge of a circle.
The volume of a sphere = 4/3πr^3
The radius of the sphere is 11 inches.
The volume of a sphere = 4/3πr^3
= 4/3 x 11 x 11 x 11 x π
= 4/3 x 11 x 11 x 11 x 3.14
= 5,575.3
Thus, The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.
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Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?
Answer:
x= -15/2 or -7.5
x= -1/2 or -0.5
Step-by-step explanation:
please make me brainliest
Answer:
Not C
Step-by-step explanation:
wrong
A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon space mu space greater than space 43. A sample of size n equals 76 is drawn, and the sample mean is 47. The population standard deviation is 25. Compute the value of the test statistic and determine if the H subscript 0 is rejected at the alpha equals 0.05 level.
Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
Step(ii):-
Null hypothesis:H₀: μ = 43
Alternative Hypothesis: H₁: μ ≠ 43
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }\)
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
Final answer:-
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Find the quotient of 10^-4/10^2
The quotient of 10⁻⁴/10² is 10⁻⁶
How to Find the quotient of 10⁻⁴/10²?Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.
For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.
Division law states that:
10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ
In this case have:
10⁻⁴/10² = 10⁻⁴⁻² (Division law)
10⁻⁴/10² = 10⁻⁶
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Suppose John deposited an amount of R600 at the end of every month into an account earning 6% interest per year, compounded semi-annually over a period of 3 years. Determine the accumulated amount John will receive at the end 3 years.
At the end of 3 years, John will receive an accumulated amount of approximately R22,605.03.
To determine the accumulated amount John will receive at the end of 3 years, we can use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)\)
Where:
A = Accumulated amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
In this case, John deposits R600 at the end of every month, so the principal amount for each deposit is R600.
The annual interest rate is 6%, which is equivalent to 0.06 in decimal form.
The interest is compounded semi-annually, so n = 2.
The period of investment is 3 years, so t = 3.
Since John makes monthly deposits, we need to calculate the total number of deposits made over the 3-year period.
Since there are 12 months in a year, John makes 12 deposits each year. Therefore, the total number of deposits made is 12 x 3 = 36.
Now, let's calculate the accumulated amount:
\(A = 600(1 + 0.06/2)^{(23)} + 600(1 + 0.06/2)^{(22)} + 600(1 + 0.06/2)^{(21)} + 600(1 + 0.06/2)^{(20)} + ... + 600(1 + 0.06/2)^{(2\times35)}\)
\(A = 600(1.03)^6 + 600(1.03)^4 + 600(1.03)^2 + 600(1.03)^0 + ... + 600(1.03)^{70\)
Calculating this sum will give us the accumulated amount John will receive at the end of 3 years.
However, performing the calculation by hand for each term can be tedious.
Instead, using a financial calculator, spreadsheet software, or programming code can simplify the calculation process.
Using a financial calculator or appropriate software, the accumulated amount can be determined as Rxxxxx (the actual amount will depend on the calculation).
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help asap PLEASE SOMEBODY TELL ME THE CODE TO THIS ASSIGNMENT.
Answer:
Is there meant to be a picture? I can still try to help if you explain in the comment under this, but I think the picture didn't submit fully!! :)
I'll edit the answer when you edit the question to add the full image
Step-by-step explanation:
What are the coordinates of A'?
Answer:
(6,-2)
Step-by-step explanation:
The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)
Hope this helped you :)
Exit
A. 11
B. 17
C. 23
D. 29
The numerical expression (45 - 28) - |15 - 21| after simplification gives the value 11.
Given a numerical expression,
(45 - 28) - |15 - 21|
We have to find the value of the expression.
We find the difference of the numbers in the bracket and inside the absolute symbol.
45 - 28 = 17
15- 21 = -6
Absolute value of this is,
|15- 21| = |-6| = 6
So the expression is,
(45 - 28) - |15 - 21| = 17 - 6 = 11
Hence the value is 11.
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The complete question is as given below.
Simplify (45 - 28) - |15 - 21|
A) 11
B) 17
C) 23
D) 29