The volume of the rectangular chocolate bar is 130 cm³.
How to find the volume of rectangular prism?volume of the rectangular chocolate prism = lwh
where
l = lengthw = widthh = heightTherefore,
l = 0.65 m = 65 cm
h = 2 cm
w = 1 cm
Hence,
volume = 65 × 2 × 1
volume of the chocolate bar = 130 cm³
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How do you find hypotenuse?
The hypotenuse theorem is defined by Pythagoras' theorem, According to this theorem, \(hypotenuse^2=base^2+perpendicular^2\)
The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.
The hypotenuse theorem is defined by Pythagoras' theorem, According to this theorem, the square of the hypotenuse side of a right-angled triangle is equal to the sum of squares of the base and perpendicular of the same triangle, such that;
Hypotenuse2 = Base2 + Perpendicular2
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5cents/day to dollars per year
Answer : 18.25 $
Explanation : 0.05 * 365
◊ YusuCr ◊
:)
Answer:
$18.25 a year
Step-by-step explanation:
respectively Q 1
=160−10P 1
OR r 1
=16−0.1Q 1
aWD 1/P 6
=16 6
−2T −
Q 2
=200−20P 2
ORP 2
=10−0,050,…H1AP 2
=15−0:0% Saga's Total Cost function is: TC =120+4Q With third degree price discrimination, the condition for peofit marimizater is MR 1
=MR 2
=MR=MC Find P 1
,Q 1
,P 2
,Q 1
Total Revenue, Total Cost, and Total proft wit sree discrimination. Find P,Q,TR,TC&π In the absence of price discrimination. Marks: 7
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.
Given the demand equations and the total cost function:
Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1
Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2
Total Cost: TC = 120 + 4Q
To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:
MR1 = MC:
16 - 0.2Q1 = 4
0.2Q1 = 12
Q1 = 60
MR2 = MC:
10 - 0.1Q2 = 4
0.1Q2 = 6
Q2 = 60
Substituting the quantities back into the demand equations, we find:
P1 = 16 - 0.1(60) = 10
P2 = 10 - 0.05(60) = 7
The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:
TR = P1 * Q1 + P2 * Q2
TR = (10 * 60) + (7 * 60)
TR = 600 + 420
TR = 1020
The total cost (TC) is given by the total cost function:
TC = 120 + 4Q
TC = 120 + 4(60 + 60)
TC = 120 + 480
TC = 600
Finally, the profit (π) can be calculated by subtracting total cost from total revenue:
π = TR - TC
π = 1020 - 600
π = 420
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
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A Garden wants to fence a circular garden of diameter 21m. find the length of the rope he needs to purchase, if he makes two rounds of fence. also find the cost of the rope, if it cost Rs4 perimeter. (Take π =22/7)
Answer: 132 m is the length of the rope he needs to purchase if he makes 2 rounds of fence. Also the cost of the rope is ₹ 528, if it costs ₹ 4 per meter.
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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PLEASE HELPPPPPP ILL GIVE BRAINLYLIST AND FIVE STARS!!
In what place value position do you begin comparing the two numbers 23,643 and 23,987 ?
Answer: The hundreds position.
Step-by-step explanation:
I st Step;
Place value on the numbers
23, 643- Twenty three thousand, six hundred and fourty three
2 - 2 tens thousands
3 - 3 thousands
6- 6 hundreds
4- 4 tens
3 - 3 units
also 23,987--Twenty three thousand, nine hundred and eighty seven
2 - 2 tens thousands
3 - 3 thousands
9- 9 hundreds
8- 8 tens
7- 7 units
Step 2.
Having expressed the numbers above, we can see that we can begin comparing the two numbers from the hundreds position. we can therefore conclude that 23, 987 is greater than 23, 643 , bacause in the hundreds position, 900 is greater than 600, the first two numbers, 23 are similar for both numbers.
I need help 1 through 13 please and thank you
Answer
Let's get to it!
Step-by-step explanation:
1) There are 15 pounds of chees on that platter. (3+5+3+4=15)
2) The total weight is 32 ounces and 6 pounds.
3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)
4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)
5) There is a total of 4/8 or 1/2 of an ounce
6) 2/8 ounces of oregano is left.
7) This recipe requires 1 and 1/2 pounds of meat.
(This is all I could do without paper) sorry, hope this helps.
The area of the rectangle is equal to the product of the base times the height. What is the measure of the area of the rectangle?
Answer:
A rectangle is a good, simple shape to begin with. The area of a rectangle is equal to the product of the length of its base and the length of its height. The height is a segment that is perpendicular to the base. For a rectangle, the base and height are often called the "length" and the "width", and sometimes the height is referred to as the "altitude."
Step-by-step explanation
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Peter is saving to buy a new skateboard. He deposits the same amount each week into his savings account. How much money does he save each week?
Week Money in Savings Account
0 $12.00
1 $17.75
2 $23.50
3 $29.25
Cuantas barras de pan habrá que comprar para alimentar a 65 personas durante 80 dias
Answer:
se necesitarán 145 o 15 piezas de pan para alimentar a 65 personas en 80 días.
Step-by-step explanation:
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2 or 0.5
Step-by-step explanation:
since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
solve for “x”.
2x = 5
thanks to whoever helps!! :)
Answer:
2.5
Step-by-step explanation:
In this equation x is equal to 2.5. I got this answer by dividing both sides of the equation by 2, since we do the opposite operation of how the equation is set up. Have a great day! :)
according to the sythentic division below, which of the following statements are true 2 5 -16 12 10 12 5 -6 0
Evaluate k(4) for the function k(x)=18−2x
Answer:
k(4) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
k(x) = 18 - 2x
k(4) is x = 4
Step 2: Evaluate
Substitute in x: k(4) = 18 - 2(4)Multiply: k(4) = 18 - 8Subtract: k(4) = 10the difference of 10 and k divided by 4 yields to 2
Answer:
A/c to question
(10-k)/4=2
or, (10-k)=8
or,10-8=k
or, k=2
Thus the value of k is 2.
Thus the value of k is 2.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
SimplificationSimplification is to make something easier to do or understand and to make something less complicated.
Given
The difference of 10 and k divided by 4 yields 2.
To findThe value of k
How to find the value of k?The difference of 10 and k divided by 4 yields 2 can be written mathematically.
\(\rm \dfrac{10-k}{4} = 2\)
Then simplify the equation,
\(\begin{aligned} \rm \dfrac{10-k}{4} &= 2\\\rm 10 - k &= 8\\10 - 8 &= \rm k \\\rm k &= 2 \end{aligned}\)
Thus the value of k is 2.
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what is i^86 imaginary number
Answer:
-1
Step-by-step explanation:
Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9); Slope: 2
Responses
y−9=2(x−5)
y−5=2(x+9)
y−9=2(x+5)
y+9=2(x−5)
The equation which forms the correct slope-point form equation is
y - 9 = 2( x - 5). Thus, option (1) is the answer.
The point-slope form is a method that uses the slope of the line and a random coordinate on any point of the line to create an equation of that line.
The equation in the point-slope form is written in the format: \(y-y_{1}=m(x-x_{1})\) , where m is the slope and \(x_{1}\) and \(y_{1}\)are the coordinates of the point on the line.
The given slope is 2, the x-coordinate is 5, and the y-coordinate is 9. There will be no addition symbol in the equation. There is only a subtraction of the coordinates in the equation form. Since options 2, 3, and 4 have addition signs, they do not show the correct equation.
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At a local Brownsville play production, 400 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $3700. If the combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, how many tickets of each type were sold
Answer:
number of $8 sold= 200
Number of $10 tickets sold= $150
Number of $12 tickets sold = $50
Step-by-step explanation:
Let the quantity of $8 ticket be represented as x
Let the quantity of $10 ticket be represented as y
Let the quantity of $12 ticket be represented as z
Such that total tikets sold = 400 can be represented as x+y+z= 400
Prices of$8, $10 and $12 gave a total income of $3,700 such that it can be represented as
8x +10y + 12z =$3,700
Also given that combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, we have that
x+y = 7z
Giving us the equations to solve to be
x+y+z= 400------ equation 1
8x +10y + 12z =$3,700---- equation 2
x+y = 7z------equation 3
Step 2- solving
Putting equation 3 i n equation 1, we have that
7z+z = 400
8z= 400
z= 400/8= 50
also puting the value of z= 50 in equation 1
x+y+z= 400
x+y+50= 400
x+y = 350---- equation 4
putting z= 50 into equaton 2 and solving out
8x +10y + 12z =$3,700
8x +10y + 12x 50 =$3,700
8x +10y + 600 =$3,700
8x +10y =3,700 - 600
8x +10y=3,100---------equation 5
Multiplying equation 4 by 8 and subtracting from equation 5
8x +10y=3,100
-8x+8y= 2,800
2y=300
y= 300/2
y=150
to find x, when y= 150 using equation 4
x+y = 350
x= 350-150
x= 200
Therefore number of $8 sold= 200
Number of $10 tickets sold= $150
Number of $12 tickets sold = $50
can someone help me?
Answer: She has 6 nickles and 9 dimes.
Step-by-step explanation:
Let n be the # of nickles. Let d be the # of dimes.
n+d=15
0.05n + 0.1d =1.2
5n+10d=120
5(15-d)+10d=120
75-5d+10d=120
5d=45
d=9
n=15-d
n=15-9
n=6
Which expression is equivalent to (-3)x+ (-3) (-12)?
Answer:
A
Step-by-step explanation:
gimme brainliest
complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical ___ axis.
Complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical imaginary axis.
Any number that can be expressed as a+bi, where i is the imaginary unit and a and b are the real numbers, is a complex number. The number is made up of two parts: real part (a) and imaginary part (b).
Just like we can use the number line to visualize a set of real numbers, we can use the complex plane to visualize a set of complex numbers. The complex plane consists of two number lines intersecting at a right angle at the point (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.
The horizontal number line (what we know as the xxx-axis on a Cartesian plane) is the real axis. The imaginary axis is the vertical number line (the yyy-axis on a Cartesian plane).A point in the complex plane can represent every complex number.
For example, consider the number 3-5i3−5i3, minus 5, i. This number, also expressed as 3+(-5)i, has a real part of 3 and imaginary part of -5. The location of this number on the complex plane is the point that corresponds to 3 on the real axis and -5 on the imaginary axis.
So the number 3+(-5) corresponds with the point (3,-5). In the general complex number, a+bi corresponds to the complex plane's point(a,b).
Hence, complex numbers are represented on a cartesian coordinate system with a real horizontal axis and an imaginary vertical axis.
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The sixth grade class has 18 boys and 24 girls. The teacher wants to divide them into groups that have the same number of boys and the same number of girls. What is the greatest possible number of the groups the teacher can make
Answer:
The teacher can make 7 groups of 6 students
Step-by-step explanation:
24+18= 42. The biggest number you can use to divide and get a real number is 7.
8. Find the length of the unknown side. Round your
answer to the nearest tenth.
10 ft
A. 13.5 A
B. If
C. 4.4 ft
D. 19 ft
Answer:
the answer is C 4.4 ft hope it helps
Step-by-step explanation:
Plz help it is over due
Answer:
32/9
Step-by-step explanation:
(4/1) (9/8)=
32/9
a) 5x-12=2x-3
b) 8x+2=5x+8
c) 7x-5=4x-2
please
What's the question?
What are we supposed to do?
Donna owes $3,000 on her credit cards. She decided to pay $104.00 per month without charging any
new money to the card. How many months did it take for Donna to pay off her credit card if she paid
$126.00 in interest? Round to the nearest whole.
It took Donna 30 months to pay off her credit card.
Total amount paid = Monthly payment x Number of months
Total amount paid = $104 x Number of months
Amount paid towards principal = Total amount paid - Total interest paid - Original amount owed
We know that she paid $126 in interest and originally owed $3,000, so we can substitute those values:
Amount paid towards principal = Total amount paid - $126 - $3,000
= $104 x Number of months - $126 - $3,000
We want to know how many months it takes for her to pay off the entire debt, so we can set the amount paid towards principal equal to zero:
$104 x Number of months - $126 - $3,000 = 0
$104 x Number of months = $3,126
Number of months = $3,126 / $104
Number of months = 30.1
So it took Donna 30 months to pay off her credit card.
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You need to make a scale model of your room for your art class. the scale is
3/4
inch represents 1 foot. what are the dimensions of your model?
The dimensions of the scale model of your room would be 3/4 inch represents 1 foot. To determine the dimensions of the scale model, we need to apply the scale ratio of 3/4 inch represents 1 foot.
Let's assume the length and width of your actual room are L feet and W feet, respectively. To find the dimensions of the scale model, we can multiply the actual dimensions by the scale ratio.
The length of the scale model would be L * (3/4) inch, and the width would be W * (3/4) inch.
For example, if your actual room is 12 feet long and 10 feet wide, the dimensions of the scale model would be:
Length of the scale model = 12 feet * (3/4) inch = 9 inches
Width of the scale model = 10 feet * (3/4) inch = 7.5 inches
Therefore, the scale model would have a length of 9 inches and a width of 7.5 inches, based on the given scale ratio.
It's important to note that when creating a scale model, maintaining the proportionality between the actual dimensions and the model dimensions is crucial to accurately represent the physical space in a smaller scale.
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Find x pretty please
Answer:
100⁰
because this is a quadrilateral inscribed in the circle
=> x + 80 = 180
<=> x = 180 - 80 = 100⁰
helpppoooooopmemememememeem
Answer:
A. 5 units
Step-by-step explanation:
since the y-coordinate is the same, then you would subtract the x-coordinates.
-6-(-1)=5
hope this helps, have a nice day :)