Answer:
The number is 2
Step-by-step explanation:
To attempt this question, we need to represent the number with (x).
Let the number be x
Five more than the number is:
5 + x
Seven-halves means 1/2 × 7 = 7/2
Mathematically, the question is saying:
5 + x = 7/2 × x
5 + x = 7x/2
Cross multiply;
2(5 + x) = 7x
10 + 2x = 7x
We collect like terms;
10 = 7x - 2x
10 = 5x
x = 10/5
x = 2
The number represented by x is 2
We want to convert the given sentence into an equation, and then solve it. We will see that the number is 2.
Finding the equation
We start with the sentence:
"Five more than a number is equal to seven-halves of the number"
if we define x as the number, we can write:
5 + x = (7/2)*x
Now we can solve this equation for x, we will get:
5 + x = (7/2)*x
5 = (7/2)*x - x = (7/2 - 1)*x
5 = (7/2 - 2/2)*x = (5/2)*x
(2/5)*5 = x
2 = x
So the number is 2.
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Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.)
f(x, y) = x2y; x2 + 2y2 = 6
Refer to the photo taken.
A music store sold 10 to the third power CDs and 10 to the second power cd players if each CD cost $12 in each CD player cost 35 what was the stores total earnings
Answer:
$15500
Step-by-step explanation:
10^3 x 12 = 12,000
10^2 x 35 = 3,500
12,000 + 3,500 = 15,500
Draw and label a figure for each relationship.
Points X and Y lie on CD.
A number line was used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.
A number line would be used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.
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Show how u solved it
Answer:
The surface area of the figure is 412 cm2.
Step-by-step explanation:
To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:
Blue figure:
(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X
(24 + 4) x 10 + 2 x 24 = X
28 x 10 + 48 = X
280 + 48 = X
328 = X
Red figure:
3 x 8 = 24 x 2 = 48
3 x 6 = 18 x 2 = 36
328 + 48 + 36 = X
376 + 36 = X
412 = X
Therefore, the surface area of the figure is 412 cm2.
Suppose that g is a function from A to B and f is a func- tion from B to C. Prove each of these statements. a) If fog is onto, then f must also be onto. b) If fog is one-to-one, then g must also be one-to-one. c) If fog is a bijection, then g is onto if and only if f is one-to-one. 35 Hind
Suppose that g is a function from A to B and F is a function from B to C.
a) If fog is onto, then f must also be onto.
Assume that f∘g is onto. Let c ∈ C . Since f∘g is onto, then is a ∈A such that c = (f∘g) (a) by the definition of onto function. By the definition of function composition, c = f(g(a)). Let b = g(a). This b belongs to B and is such that c = f(b) . Therefore, for every c ∈ C , there is b ∈ B such that c = f(b). By the definition of onto function, f is onto.
(b) If fog is one-to-one, then g must also be one-to-one.
Let \(a_1,a_2\) ∈ A such that \(g(a_1)=g(a_2)\). Then
(f∘g)\((a_1)\) = \(f(g(a_1))=f(g(a_2))\) = (f∘g)\((a_2)\)
Since f∘g is one - to - one, \(a_1=a_2\). Therefore, for all \(a_1,a_2\) ∈ A such that
\(g(a_1)=g(a_2)\), \(a_1=a_2\). By the definition of one-to-one function, g is one-to-one. \(b_1=g(a_1)=g(a_2)\)
(c) If fog is a bijection, then g is onto if and only if f is one-to-one.
Assume that f∘g is a bijection.
Assume that g is onto. Let \(b_1,b_2\) ∈ B such that \(f(b_1)=f(b_2)\). Since g is onto, by the definition of onto function, there are \(a_1,a_2\) ∈A such that
\(b_1=g(a_1) and b_2=g(a_2)\) We have
(fog)\((a_1)\) = \(f(g(a_1) )=f(b_1)\)
= \(f(b_2) =f(g(a_2))= (fog)(a_2)\)
Since fog is a bijection, it is one-to-one, hence \(a_1=a_2\), and
\(b_1=g(a_1)=g(a_2)=b_2\)
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What is the area of the parallelogram?
Step-by-step explanation:
to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor
Answer:
A=bh
Step-by-step explanation:
Tyron has a choice between two carpets that he likes equally well. One costs $12.50 per Square yard; the other costs $1.70 per square foot. Which is the better buy?
Answer:
the better choice would be the first carpet ($12.50)
Step-by-step explanation:
1 square yard = 9 square feet
so if you turn them both into square yard measurement (9*1.70) it would be $15.30 for the second carpet and still 12.50 for the first carpet.
Therefore the better choice would be the first carpet ($12.50)
The carpet that costs 12.50 dollars per feet will be better buy.
Why 1 yard is 3 feet and 1 square yard is 9 square feet ?1 yard = 3 feet to get this in terms of 2 dimension we have to square both sides.
According to the given question Tyron has a choice between two carpets that he likes equally well. One costs 12.50 dollars per Square yard the other costs 1.70 dollars per square foot.
We know 1 yard is 3 feet.
∴ 1 square yard is 9 square feet.
Given 1 square feet of other carpet costs 1.70 dollars.
∴ 9 square feet of the other carpet will cost (1.70×9) = 15.3 dollars.
So, the first type of carpet will be a best buy as it costs 12.50 dollars per square feet.
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A red-hot sword was plunged into cold water. This caused the temperature difference between the sword and
the water to decrease rapidly.
The relationship between the elapsed time t, in seconds, since the sword was plunged into water, and the
temperature difference, D(t), is modeled by the following function:
t
9.7
D(t) = 256
4
Complete the following sentence about the decay rate of the temperature difference.
1
The temperature difference is reduced by a factor of
4
every
seconds.
Answer:
every 9.7 seconds
Answer:
9.7 seconds
Step-by-step explanation:
Got it correct on Khan Academy:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Venity it (6,-3) is a solution to the system of equations. Is the ordered pair a solution to the system?
Yes, because there are infinite solutions to the
system of equations.
No, because substituting these values into the first
y=-x+1
equation creates a false statement.
Yes, because substituting these values into both
equations forms two true statements.
No, because substituting these values into the
second equation forms a false statement.
Intro
Done
Answer: c
Step-by-step explanation:
i got it right
Answer:
C) Yes, because substituting these values into both equations forms two true statements.
Step-by-step explanation:
The diameter of a circle is 2 units. What is the radius of the circle?
Answer:
The radius is 1 unit.
Step-by-step explanation:
The radius of a circle is half of its diameter. 2/2=1 unit
15. Given the following measurements in
parallelogram ABCD, find the PERIMETER of
CED
AC 34 in. AB = 26 in. BD = 28 in.
P =
20 points for whoever answers
The Perimeter of CED AC is 34 in. AB is 26 in. BD is 28 in. P is 57 in.
Explain about the parallelogram?A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.
Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.
Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle. Rhombus: An equal-length parallelogram with four sides.
The diagonals of a parallelogram bisect each other AC = 2 CE
Substitute AC= 34 into AC = 2 CE 34 = 2CE
Calculate 34 = 2 CE CE = 17
The diagonals of a parallelogram bisect each other BD = 2DE
Substitute BD= 28 into BD = 2DE 28 = 2DE
Calculate 28 = 2 DE DE = 14
Opposite sides of parallelogram are congruent AB = CD
Substitute AB = 26 into AB = CD CD = 26
Perimeter of a triangle PΔCDE = CE + CD + DE
Substitute CE = 17 DE = 14 CD = 26 PΔCDE = CE + CD + DE
PΔCDE = 17+ 26 + 14
PΔCDE = 57
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Follow the Steps to Make the Formula Valuable! Instruction: Find the solutions of each of the following quadratic equations using the quadratic formula. Then, fill in the table by supplying the missing task and answer the questions that follow. 1. 2x² +9x== STEPS TASK b, a. Write the equation in standard form b. Determine the values of a, and c. c. Substitute the values of a, b, and e in the quadratic formula. d. Simplify the result. e. Value/s of the variable. 2. 3(x-4)2+11-0 STEPS TASK a. Write the equation in standard form. b. Determine the values of a, b, and c. c. Substitute the values of a, b, and e in the quadratic formula d. Simplify the result. e. Value/s of the variable. Guide Questions: a. How did you use the quadratic formula in finding the solution/s of each equation? b. How many solutions does cach equation have?
Step-by-step explanation:
⟨1.⟩Given equation is 2x²+9x = -4
⇛ 2x²+9x+4 = 0
The standard form of the equation is 2x²+9x+4 = 0
On comparing the given equation with ax²+bx+c = 0
We have
a = 2
a = 9
c = 4
By using Quadratic Formula
x = [-b±√(b²-4ac)]/2a
On Substituting these values in the above formula then
⇛ x = [-9±√{9²-4(2)(4)}]/2(2)
⇛ x = {-9±√(81-32)}/4
⇛ x = {-9±√49}/4
⇛ x = (-9±7)/4
⇛ x = (-9+7)/4 or (-9-7)/4
⇛ x = -2/4 or -16/4
⇛ x = -1/2 or -4
The roots are -1/2 and -4
⟨2.⟩Given equation is 3(x-4)²+11 = 0
⇛ 3(x²-8x+16)+11 = 0
⇛ 3x²-24x+48+11 = 0
⇛ 3x²-24x+59 = 0
The standard form of the equation is
3x²-24x+59= 0
On comparing the given equation with ax²+bx+c = 0
We have
a = 3
= 3b = -24
= 3b = -24c = 59
By using Quadratic Formula
x = [-b±√(b²-4ac)]/2a
On Substituting these values in the above formula then
⇛ x = [-(-24)±√{(-24)²-4(3)(59)}]/2(3)
⇛ x = {24±√(576-708)}/6
⇛ x = {24±√-132}/6
⇛ x = {24±2(-33)}/6
⇛ x = 2(12±√-33)/6
⇛ x = (12±√-33)/3
The roots are (12+√-33)/3 and
(12-√-33)/3
⟨a.⟩I used the Quadratic Formula bu substituting the values of a , b and c values in it.
⟨b.⟩Given two equations are Quadratic equations so they have two solutions or roots.
Since the degree of the Quadratic equations is 2.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
Type the correct answer in each box. The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (_,_). The coordinates of the point that is a reflection of Y across the y-axis are (_,_).
Answer:
it would be in quadrent 4
Step-by-step explanation:
1/2 2/5 6/10 least to greatest
Answer:
2/5, 1/2, 6/10
Step-by-step explanation:
did problem
Answer:
1. 2/5
2. 1/2
3. 6/10
Step-by-step explanation:
Hope this helps
May I get braineist pls
in a recent survey 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen find the probability that 8 of them favor building the health center
The probability of those that favors building the health center is 0.196
What is probability?The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.
In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.
According to the scenario, 70% of the community favoured in building a health centre.
Hence , p=0.7.
In order to find the probability, binomial theorem will be used as follows :
= 0.196
Hence, The probability is 0.196
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PLEASEEEEEE HELPPPP IM BEGGING ISOMEONE PLEASEEEE
Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE
\(54 \times x = 36 \times 54\\\\x = 36\)
I need help with this question
1. (3 x 5) + (6 x 5) = (16 x 5) – (________ x 5)
2. (3 x 8) + ( ________ x 8) = 13 x 8
Answer:
(3 x 5) + (6 x 5) = (16 x 5) – (7 x 5)
(3 x 8) + (10 x 8) = 13 x 8
Step-by-step explanation:
(3 x 5) + (6 x 5) = (16 x 5) – (________ x 5)
(15) + (30) = 80 – ( ____ x 5)
45 = 80 – ( ____ x 5)
We need to subtract 35 from 80 for it to equal 45
7 x 5 = 35, so fill in 7 in the blank
45 = 80 – (7 x 5)
45 = 80 – 35
45 = 45
(3 x 8) + ( ________ x 8) = 13 x 8
(24) + ( _______ x 8) = 104
We need to add 80 to 24 for it to equal 104
8 x 10 = 80, so fill in 10 in the blank
(24) + (10 x 8) = 104
(24) + (80) = 104
104 = 104
steven orders 9 tons of bricks for a construction project. He uses 3 2/3 tons for the front patio and 2 1/2 tons for the chimney. How many tons of bricks does Steven have left?
Answer:
They have 2 left
Step-by-step explanation:
3 2/3 - 2 1/2 = 1 1/1 = 2
Bill and ross are twins, their brother mark was born on the same day as twins but is three year older. if mark was born in 1990, in what year did the three boys get total age 21
Step-by-step explanation:
x = age of one of the twin boys
when they had together 21 years of age,
Bill was x years old
Ross was x years old
Mark was x+3 years old
so, we have
x + x + (x + 3) = 21
3x + 3 = 21
3x = 18
x = 6
Bill and Ross were 6 years old.
Mark was 6+3 = 9 years old.
Mark was born in 1990.
1990 + 9 = 1999
so, it was 1999 when they had together 21 years of age.
Yea thank goodness is not the only part I know
a.
Insides:
\(u=-5e^x+12x\)Outside:
\(y=\sqrt{u}\)b.
Use the chain rule to find the derivate:
\(\frac{d}{dx}(y(u))=\frac{d}{du}(y(u))*\frac{d}{dx}u\)\(\begin{gathered} \frac{d}{dx}(y)=\frac{d}{du}\sqrt{u}*\frac{d}{dx}(-5e^x+12x) \\ \\ \frac{dy}{dx}=\frac{1}{2\sqrt{u}}*(-5e^x+12) \\ \\ \frac{dy}{dx}=\frac{-5e^x+12}{2\sqrt{u}} \\ \\ \frac{dy}{dx}=\frac{-5e^x+12}{2\sqrt{-5e^x+12x}} \\ \end{gathered}\)Derivate:
\(\frac{dy}{dx}=\frac{-5e^x+12}{2\sqrt{-5e^x+12x}}\)*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. Find the number of elements in the sample space whose outcomes are all possible sequences of three rolls of the die. (a) Find the probability of the event that exactly one of the colors that appears face up is red. (b) Find the probability of the event that at least one of the colors that appears face up is red.
Answer:
Sample space = 27 possible outcomes
a) P(just one red) = 4/9
b) P(at least one red) = 19/27
Step-by-step explanation:
Each die has 3 possible outcomes (red, blue or yellow), so the sample space of the number of possible outcomes for rolling three dice is 3^3 = 27
a)
The probability of the face up color being red is 2/6 = 1/3, and the probability of it not being red is 4/6 = 2/3.
The die with the face up red can be any of the three dice, so we also need to multiply the probabilities by a combination of 3 choose 1. So the final probability is:
P = C(3,1) * (1/3) * (2/3)^2 = 3 * (1/3) * (4/9) = 4/9
b)
To find the probability of at least one face up being red (event A), we can find the probability of the complementary case, that is, no one of the three die being face up red (event A'), and then we calculate P(A) + P(A') = 1.
In the case where no face up are red, we have the probability of 2/3 for each die, so we have:
P(A') = (2/3)^3 = 8/27
Then we can find P(A):
P(A) = 1 - 8/27 = 19/27
I need help :( anyone know the answer ??
Answer:
A
Step-by-step explanation:
Solve the following inequality.
3m + 2 < 5 OR m71 > 4
+
2
m < [?] OR m >
m> [ ]
Enter
Answer: m < 1 or m > 7
The correct answer is m < 1 or m > 7.
Step-by-step explanation:
Hope this helps =)
80 points! Look at the pic attached. I will mark brainliest to the correct answer. Random answers will be reported :) thanks
Answer: No, it is not commutative. If used a square as an example, centered at (1,1). If a dilation is performed on the square of a scale factor of 3, and the square is translated 5 units downward, then the result would be different than if I switched the order, doing the translation downward first and then performing the dilation centered at (1,1).
I hope this helps! If you need any further clarification, just let me know below. Thanks! Have a good day, and good luck on your assignment. :)
Answer:
this helps me :-))
thanks
What is a benefit of obtaining a personal loan?
getting money with special repayment terms
getting money with favorable interest rates
getting small amounts of money
to use immediately
getting large amounts of money to use immediately
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
Option D is the correct answer.
What is a personal loan?A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.
We have,
The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.
However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.
Thus,
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
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find sin 75 without using a calculator
The value of sin 75 without using a calculator is 1/4(√2 +√6)
Finding sin 75 without using a calculatorFrom the question, we have the following parameters that can be used in our computation:
sin(75)
This can be expanded as
sin(75) = sin(45 + 30)
Using the sine rule, we have
sin(75) = sin(45)sin(30) + cos(45)cos(30)
Evaluate the trigonometry ratios
So, we have
sin(75) = √2/2 * 1/2 + √2/2 * √3/2
So, we have
sin(75) = √2/4 + √6/4
Evaluate the sum
sin(75) = 1/4(√2 +√6)
Hence, the value is sin(75) = 1/4(√2 +√6)
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Can someone please help me with the answer to this?
Answer:
(-7, 7)Step-by-step explanation:
y = -8x - 49
y = -x
-8x - 49 = -x-8x + x = 49-7x = 49x = -7y = - (-7) = 7