Answer:
the loss per part was - $31
Step-by-step explanation:
If the total of losses was $2480 for 80 identical parts, then the loss per part is the division of $2480 by 80:
$2480/80 = $31
So the loss per each part was $31
which normally will be given with a negative sign in front indicating loss:
- $31
g(x) = -4x – 5
f(x) = -4x - 1
Find g(-6) + f(-6)
Answer:
19+23
Step-by-step explanation:
what does pi mean?
And does it have a symbol?
Answer: The number π is a mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. The number appears in many formulas in all areas of mathematics and physics.
Also yes, it does have a symbol: π
Answer:
pi is equal to 3.14..... It does have a symbol.
Step-by-step explanation:
Symbol in image below.
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
A can of "fruit drink" contains 15% sugar and a can of "fruit juice" contains 5% sugar. Both of the beverages will be mixed together to get 10 liters of juice that has 8% sugar. How many liters of "fruit juice" are required?
By solving a system of equations, we will see that 7 liters of fruit juice are needed.
How many liters of fruit juice are required?Let's define the variables:
x = liters of fruit juice.
y = liters of fruit drink.
We know that the mixture has 10 liters, then:
x + y = 10
And the concentration of these 10 liters is 8%, then the concentration equation is:
x*0.05 + y*0.15 = 10*0.08
Then we have a system of equations:
x*0.05 + y*0.15 = 10*0.08
x + y = 10
Isolating y on the second equation, we get:
y = 10 - x
Replacing that in the first equation we get:
x*0.05 + (10 - x)*0.15 = 10*0.08
x*0.05 + 1.5 - x*0.15 = 0.8
-x*0.10 = 0.8 - 1.5
x*0.10 = 0.07
x = 0.7/0.10 = 7
So 7 liters are used.
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Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
I need help thanks so much
Answer:
9
Step-by-step explanation:
The triangle provided is an equilateral one, which means that the length of all sides is equal.
Let's start by taking two and finding x.
8x+1 = 3x+6 (Subtract 3x from both sides)
5x+1 = 6 (Subtract 1 from both sides)
5x = 5 (Divide 5 from both sides)
x = 1
Now we substitute x in all the equations to find the length.
8(1) + 1 = 9
3(1) + 6 = 9
4(1) + 5 = 9
Length = 9
Peter, Gordon and Gavin share £36 in a ratio 2:1:1. How much money does each person get?
Answer:
Peter gets 18£
Gordon and Gavin each get 9£
Answer:
peter = 18 Gordon = 9 Gavin = 9
Step-by-step explanation:
2+1+1 = 4
36 div 4 = 9
2 times 9 = 18
1 times 9 = 9
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
Highschool geometry please answer questions 8-10 in the attachment added
Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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Solve the equation.
\(\sqrt{y^{2}-20+100 } =y-10\)
Answer:
No solution.
Step-by-step explanation:
So lets solve the square root.
Sqrt(y^2 - 20 + 100) = y - 10
Sqrt(y^2 + 80 = y - 10)
Solve time.
y^2 + 80 = y - 10 (We are squaring them)
y^2 + 80 = y^2 - 20y + 100
y^2 + 80 - y^2 = y^2 - 20y + 100 - y^2 (Subtract y^2 from both sides)
80 = -20y + 100
Flip it
-20y + 100 = 80
-20y + 100 - 100 = 80 - 100 (Subtract 100 from both sides)
-20y = -20
Now divide both sides by -20
-20y/-20 = -20/-20
y = 1
All you would do is plug in the values and you get...
\(9 \neq -9\)
This is false.
A city is putting in a sand pit at the park. The length is an even, one-digit whole number, and
the width is 6.7 feet. Which explains the least and greatest possible areas for the sand pit?
Answer:
Step-by-step explanation:
Answer:
Listen the number is an EVEN one-digit, so that means all odd numbers that are one-digit numbers are out so that means number A is wrong so its between B, C, and D. If you read the answer throughully through B, C, and D you will find one of the 2 x 6.7 is wrong. To find the correct answer to 2 x 6 and if the sum of 2 x 6 is equal to your 2 x 6 you have the correct answer! Btw I forgot the exact answer but I know it was either B or C.
Step-by-step explanation:
An opera house two kinds of seats, orchestra and mezzanine. The total amount the opera house made in ticket sales for a show last Saturday was $137,000. They sold a total of 1,100 mezzanine tickets at $70 a ticket. They sold 500 orchestra tickets. If t represents the cost of an orchestra ticket, write an equation representing this situation and complete the statement that follows.
Answer:An opera house has two kinds of seats, orchestra and mezzanine.
The total amount the opera house made in ticket sales for a show last Saturday was $137,000.
sold a total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.
If t represents the cost of an orchestra ticket.
Find the equation representing this situation and complete the statement that follows.
and complete the equation , t = The opera house sold 500 orchestra tickets at $ per ticket.
To proof
As given in the question
total amount the opera house made in ticket sales for a show last Saturday = $137,000.
total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.
t represents the cost of an orchestra ticket.
Than the equation becomes in the form
1100 × 70 + 500 t = 137000
77000 + 500 t = 137000
500t = 137000 - 77000
500t = 60000
t = $120
$120 = The opera house sold 500 orchestra tickets at $ per ticket.
Hence proved
Step-by-step explanation:
write 5^2 ÷ √5 as a single power of 5
The value of the given expression is 5^(3/4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be resolved as shown below,
5² ÷ √5
\(= \dfrac{5^2}{\sqrt5}\\\\\\\)
Using the law of exponents, \(\sqrt[n]{m} = m^{\frac1n}\),
\(= \dfrac{5^2}{5^{\frac12}}\\\\\\\)
Using the law of exponents, \(m^x\times m^y = m^{x+y}\),
\(= {5^2} \times {5^{-\frac12}}\)
Solving the powers,
\(= {5^{2-\frac12}}\\\\= 5^{\frac34}\)
Hence, the value of the given expression is 5^(3/4).
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The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
the function f(x)= x1/3 is transformed to get function h. h(x)= (2x)1/3+5 which statements are true about function h
The transformation of a function may involve any change. The function f(x) is vertically stretched and shifted 5 units upwards to form h(x).
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(\dfrac{x}{k})The function f(x)=x^(1/3) is transformed to form the function of h(x)=(2x)^(1/3)+5. Therefore, the transformation made to the function is,
Vertically stretched by a factor of 2^(1/3) ⇒ 2^(1/3) × x^(1/3) = (2x)^(1/3)
Up by 5 units ⇒ (2x)^(1/3) + 5
Hence, the function f(x) is vertically stretched and shifted 5 units upwards to form h(x).
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The graph below could be the graph of which exponential function?
||||
5
5
The graph could be the graph of exponential function of option b)
\(F(x) = 2 • (0.5)^{x} \)
The general form of an exponential function is
\(f(x) = {ab}^{x} \)
Here, a is the function's starting value and b is its growth factor.
F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function
The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.
Given that the graph indicates that the function is decreasing, b must be less than 1.
It indicates that the necessary function is in the form of
\(f(x) = 2(b)^{x} \)
Where it is b<1
By checking option B, b=0.5<1. Hence, option B is the correct answer
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Note that the full question is:
(check the attached image)
6. exchanging integers create an array of randomly ordered integers. using the swap procedure from section 8.4.6 as a tool, write a loop that exchanges each consecutive pair of integers in the array
Here is an example of how you could exchange consecutive pairs of integers in an array using the swap procedure:
def swap(array, i, j):
temp = array[i]
array[i] = array[j]
array[j] = temp
# create an array of randomly ordered integers
import random
array = [random.randint(1, 100) for _ in range(10)]
print(array)
# exchange each consecutive pair of integers in the array
for i in range(0, len(array)-1, 2):
swap(array, i, i+1)
print(array)
This code creates an array of 10 randomly ordered integers, then uses a for loop to iterate over the array and exchange each consecutive pair of integers using the swap function. The for loop starts at index 0 and increments by 2 each iteration, so it processes the elements at even indices (0, 2, 4, etc.). The swap function takes three arguments: the array, and the indices of the elements to be swapped. It uses a temporary variable to store one of the elements, then swaps the elements by reassigning them to the correct indices. Finally, the modified array is printed to the console.
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2. What is the greatest common factor of these numbers.
66 and 48
Answer:
Greatest common factor (GCF) of 48 and 66 is 6.
Question 6
A square is placed within a rectangle. Find the area of the shaded region.
Select one:
O
✪
✪
O
559 ft²
640 ft²
721 ft²
604 ft²
32 ft
19A
9 ft
20 ft
The area of the shaded region is 559 ft².
How to find the area of the shaded region?In order to find the area of the shaded region, we will subtract the area of the square from the area of the rectangle. That is:
area of the shaded region = area of rectangle - area of square
area of the shaded region = (32 * 20) - (9 * 9)
area of the shaded region = 640 - 81
area of the shaded region = 559 ft²
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Complete Question
See attached image
Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
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write a thirdthird-degree polynomial expression that has only two terms with a leading term that has a coefficient of five and a constant of negative two
Answer:
5x^3-2
\(ax^{3} +bx^{2} +cx+d\\5x^{3}-given\\ d=-2-given\\5x^{3} -2\)
Explanation:
The two terms are \(5x^3\) and \(2\). Terms are separated by either a plus or minus.
We can write it as \(5x^3+(-2)\) which is an equivalent form. Here the two terms are \(5x^3\) and \(-2\). This is because adding a negative is the same as subtracting.
The coefficient is the number to the left of the variable.
The degree is the largest exponent, which helps form the leading term.
The third degree polynomial written above is considered a cubic binomial. "Cubic" refers to the third degree, while "binomial" means there are 2 terms.
We can write something like \(5x^3\) as 5x^3 when it comes to computer settings.
help pls due today i am just trying to get good grades
Answer:
c
Step-by-step explanation:
because the question already told that a table has four chairs. So, we need the number of tables in the cafe to calculate number of chairs
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
graph f(x)=-0.25 + 4
Answer:
4.25 I think but I hoped that helped
please help asappppppp
Answer:
If we classify the shapes shown in the picture, we can see that there are 4 triangles and one square.
First, we need to find out the formulas for the areas of these shapes.
Formula for area of triangle;
A = BH x 1/2
where b represents the base, and h represents the height
Formula for area of square;
A = a^2
where 'a' represents the length of one side of a square
Now we just plug in the actual values to these formulas:-
(Finding area of square first)
A = a^2
A = 2^2
A = 4
Now, we find the area of one triangle and multiply it by 4 because there are four of each of those triangles.
A = BH x 1/2 x 4(no. of triangles)
A = 2(3) x 1/2 x 4
A = 6 x 1/2 x 4
A = 6/2 x 4
A = 3 x 4
A = 12
Now we add the two areas together;
4 + 12 = 16 square feet
No links please! Which expression has the same value as
Look below
Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
PLEASE HELP
| y-x| + y-1
evaluate the absolute value expression for x= -3 and y= -6
Answer:
-4
Step-by-step explanation:
So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).
So, we can just start plugging things in and simplifying, so:
| -6 + 3 | - 6 - 1 = | -3 | -7
= 3 - 7
= -4
In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.
Find the degree measure of each angle in the triangle.
HURRY PLSSS
Answer:
\(for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°\)