Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.
What does equation mean?a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.
Here,
One piece of bacon has 42 calories in it.
There are 60 calories in 1 slice of turkey.
2 slices of bacon are 2 calories each (42)
So 84 calories in 2 slice of bacon
3 slices of roasted turkey have 3 calories each slice (60)
Three slices of roasted turkey have 180 calories each.
180-84 is the difference in the amount of calories.
96 calories are added due to the calorie difference.
Two slices of bacon had 96 less calories than three slices of roasted turkey.
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A pile of sand has a weight of 76 kg.
The sand is put into a small bag, a medium bag and a large bag in the ratio 1:2:5.
Work out the weight of sand in each bag
Answer:
1- 9.5kg
2- 19kg
5- 47.5kg
Step-by-step explanation:
1+2+5= 8
76÷8= 9.5
9.5 ×1= 9.5
9.5× 2= 19
9.5× 5= 47.5
What is the slope of the line whose equation is
4x = 3(y + 8)?
Answer:
x= 3/4y + 6
Step-by-step explanation:
Brainliest
What is the value of k if one of the zeros of the quadratic polynomial K 2 x2 2x 5?
If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.
What is polynomial?A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.
Here,
4 is a root/zero of polynomial
P(x) = (k-2) x² - 2 x - (k+5)
P(4) = 0
(k - 2) 4² - 2 * 4 - (k+5) = 0
15 k - 45 = 0
k = 3
The value of k if 4 is one of the zeros of the quadratic polynomial is 3.
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Complete question:
If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.
if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!
Answer:
61,000
Step-by-step explanation:
Move it 4 places to the right.
For the binomial distribution, which formula finds the standard deviation?
For the binomial distribution , the formula which finds the standard deviation is σ = √(n × p × (1-p)) .
The Standard Deviation is a measure of how much the values in the distribution vary from the mean.
The formula for calculating standard-deviation of a binomial distribution is ⇒ σ = √(n × p × (1-p)) ,
Where: σ = standard deviation , n = sample size , p = probability of success on a single trial ,
This formula can be used to calculate the spread or variability of a binomial distribution, which represents the distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.
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5x(12+7) using distributive property
Answer:
To simplify 5x(12+7) using distributive property, we can distribute the 5x to each term inside the parentheses, which means multiplying 5x by 12 and by 7, and then adding the two resulting products. This is because the distributive property states that:
a(b + c) = ab + acIn this case, a is 5x, b is 12, and c is 7. Therefore, we can apply the distributive property as follows:5x(12+7) = 5x(12) + 5x(7)= 60x + 35x= 95xTherefore, 5x(12+7) simplifies to 95x using distributive property.Step-by-step explanation:
= 95
The distributive property states that for any real numbers a, b, and c,
a × (b + c) = a × b + a × c.
5x(12+7) using distributive property
5x(12) + 5x(7)
60 + 35
95
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In ΔDEF, d=20 ft, e=25 ft , and m ∠ F=98°. Find m ∠ D .
In triangle DEF, with sides d=20 ft, e=25 ft, and angle F measuring 98°, the measure of angle D cannot be determined without additional information.
To find the measure of angle D in triangle DEF, given that d = 20 ft, e = 25 ft, and m∠F = 98°, we can use the fact that the sum of the angles in a triangle is 180°.
Let's label angle D as m∠D. We know that m∠F = 98°. Let's denote the measure of angle E as m∠E.
Using the fact that the sum of the angles in a triangle is 180°, we have:
m∠D + m∠E + m∠F = 180°
Substituting the given values, we have:
m∠D + m∠E + 98° = 180°
Now, let's solve for m∠D. First, subtract 98° from both sides:
m∠D + m∠E = 82°
Since the sum of the measures of angles D and E is 82°, we don't have enough information to determine the exact measure of angle D.
Additional information about the relationship between the sides or angles of the triangle would be needed to find the measure of angle D. Without such information, we cannot determine the specific measure of angle D in triangle DEF.
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The question is in the photo. Need C and D.
Given:
C)
\(2x^2+30y-3y^2+4xy-14-x\)Simplify the above expression,
\(2x^2+30y-3y^2+4xy-14-x=2x^2-3y^2-x+30y+4xy-14\)As there is no like terms in this expression,
Answer:
\(2x^2-3y^2-x+30y+4xy-14\)D)
\(20+3xy-3xy+y^2+10-y^2\)Simplify the expression,
\(\begin{gathered} 20+3xy-3xy+y^2+10-y^2 \\ =20+10+(3xy-3xy)+(y^2-y^2) \\ =30+0+0 \\ =30 \end{gathered}\)Answer: 30
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
x²-3x+8≤0 solve for the inequality
Answer:
The solution is an empty set
Step-by-step explanation:
First you have to factor out the equation. You can factor it out by using Discriminant.
D= 9-32= -23
As D<0 this equation has no real solutions, therefore the solution for the inequality is ø (an empty set)
radius of a circle with 11,304 circuference
Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
Report me if its wrong mark me Brianliest if its right.
Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated signs is $12.00. The cost to make 10 paper signs and 10 laminated signs is $30.00. What is the cost of 1 laminated sign?
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
I need help with this please! ASAP
(PLEASE MULTIPLY AND SIMPLIFY COMPLETELY)
Answer:
6/25
Step-by-step explanation:
Answer:
The answer is B 6/25
Step-by-step explanation:
ITs B because you would first get 12/50 and then just simplify it by even numbers.
hope I helped. :)
So given a rectangle with a perimeter of 40, and
a length 7, what is the width?
Answer:
13
Step-by-step explanation:
7 x 2=14
40-14=26
26/2=13
Answer:
40 - 14 = 26
26/2 = 13
The width is 13
how do I find the direction of the rotation and the magnitude
I dont know I would.ask the teacher
The z-score for a particular observation is z = -1.2. This means the observation is
The observation is located to the left of the mean by a distance of 1.2 standard deviations.
How to observe the mean of situation?The z-score of an observation represents the number of standard deviations the observation is away from the mean.
If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.
If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:
observation = μ + (z * σ)
observation = μ + (-1.2 * σ)
This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.
For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.
In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.
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A compressive load of 80,000 lb is applied to a bar with
circular section0.75indiameter and a length of 10 in. if the
modulus of elasticity of the bar material is10,000 ksi and the
Poisson’s ratio i
The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.
A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.
if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.
We have to determine the decrease in diameter of the bar due to the applied load.
Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.
Length of the bar, L = 10 in
Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²
Stress produced by the applied load,σ = P/A
= 80,000/0.4418
= 181163.5 psi
Young's modulus of elasticity, E = 10,000 ksi
Poisson's ratio, ν = 0.3
The longitudinal strain produced in the bar, ɛ = σ/E
= 181163.5/10,000,000
= 0.01811635
The lateral strain produced in the bar, υ = νɛ
= 0.3 × 0.01811635
= 0.005434905'
The decrease in diameter of the bar due to the applied load, ∆d/d = -υ
= -0.005434905∆d
= -0.005434905d
The final diameter of the bar,
d - ∆d = d + 0.005434905d
= 1.005434905d
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Nelson is building a rectangular ice rink for
the community park. The materials available
limit the perimeter of the ice rink to at most
250 feet.
Okay and what do you need to find??
what fraction of one minute is 7 seconds
PLEASE HELP! Answer both questions for 15 points! PLEASE INCLUDE EXPLANATION!!!!
Answer:
Step-by-step explanation:
1. 169
2. 169
3. right
*next column*
1. 233
2. 196
3. acute
PLSSS HELP WILL MARK BRAINLIEST!! :) Reflections. if you don't kno don't put anything :) there's no graph :)
If point P(2,-4) is reflected over the x-axis, determine the coordinates of the image.
(-2, -4)
(-4, 2)
(4, 2)
(2, 4)
Answer:
(2,4)
Step-by-step explanation:
the x values stays the same because you are reflecting over its axis. the 4 becomes positive
Step-by-step explanation:
Algebra Explanation: If something is reflected over the x axis, the x coordinate's sign will stay the same while the y coordinate sign will switch.
Using this info, the answer will be (2,4)
Geometric Explanation: Point P is in Quadrant 4. If we reflect a point about the x axis, it can only go to Quadrant 1. Quadrant 1 has a positive x and positive y. So this eliminates the first 2 options.
Reflecting across a line will align the pre image and current image with each other. This means the x coordinate and y coordinate will stay in the same place. So (2,4) is the answer.
Katalin drove 300 miles on her vacation. she drove an average of 1.9 times faster on the second 150 miles of her trip than she did on the first 150 miles of her trip. which expression represents the time she spent driving?
The expression represents the time she spent driving is \(\frac{228.95}{x}\)
The expression represent the time she spent driving can be calculated as follows:
We know that
Time = \(\frac{distance}{ speed}\)
Let x be her speed on the first half of the trip.
Then for first half , the tiime she takes is
T1= \(\frac{150}{x}\)
while in a second half the time taken by her is
T2= \(\frac{150}{1.9x}\)
T2= \(\frac{78.95}{x}\)
the total time she spent on driving is
T1 + T2 = \(\frac{150}{x}\) + \(\frac{78.95}{x}\) = \(\frac{228.95}{x}\)
Hence, the expression represents the time she spent driving is \(\frac{228.95}{x}\)
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Which of the following distances is the shortest?
0.2 decimeters
0.008 kilometers
404 meters
50,000 millimeters
Answer: To determine the shortest distance among the given options, we can convert all the distances to the same unit for easier comparison. Let's convert them to meters:
0.2 decimeters = 0.2 * 0.1 meters = 0.02 meters
0.008 kilometers = 0.008 * 1000 meters = 8 meters
404 meters = 404 meters
50,000 millimeters = 50,000 * 0.001 meters = 50 meters
From the conversions, we can see that the shortest distance among the given options is 0.02 meters (0.2 decimeters).
Therefore, the shortest distance is 0.2 decimeters.
All distances need to be converted into the same unit for comparison. In millimeters, the distances are 20mm, 8000mm, 404000mm, and 50000 mm respectively. Thus, the 0.2 decimeters, which is 20 mm, is the shortest distance.
Explanation:
To determine which of the following distances is the shortest – 0.2 decimeters, 0.008 kilometers, 404 meters, 50,000 millimeters – we first need to convert all measurements into the same unit. Let's use millimeters (mm) as our standard unit.
0.2 decimeters = 20 mm.0.008 kilometers = 8000 mm.404 meters = 404000 mm.50,000 millimeters = 50000 mm.Comparing these values, we can clearly see that 0.2 decimeters (or 20 mm) is the shortest distance.
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Mrs. Martinez and Ms. Jones' classes are competing for best average homework completion over the course of the semester.
According to the given figure Mrs Martinez data has greater variability than Mrs Jone's data.
How do average and mean differ?The average may be calculated by dividing the total number of values by the sum of all the numbers. The arithmetic average of a group of two or more data variables is referred to as a mean. Typically, average is referred to as mean or arithmetic mean. The word "mean" is only a way of defining the sample's average.
Comparing the median and average.By adding up each value individually and dividing the result by the total number of observations, the average is obtained. The "middle" value, for which half of such observations are greater and half are less, is used to compute the median.
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7. Triangle RST has sides RS = 5.5 cm, RT = 3.9 cm, and ST = 4.8 cm. The value
of the largest angle in this triangle has a value of
A.
43.8
B.
58.5°
C.
77.7 °
D.
79.3
Find the range of the data set
Answer:
28
Step-by-step explanation:
54-26=28.
Answer:
24
Step-by-step explanation:
range=highest value -lowest value
Therefore, 54-29=24
solve for x−4 + x ≤ 9
Answer:
x ≤ 6.5
Step-by-step explanation:
x−4 + x ≤ 9
Combine like terms
2x-4≤ 9
Add 4 to each side
2x-4+4≤ 9+4
2x≤ 13
Divide by 2
2x/2 ≤ 13/2
x ≤ 6.5
Choose the best answer.
A
B
C
D
Answer:
D :)
Step-by-step explanation:
Assume we have a machine that uses 1 byte for a short int and 2 bytes for an int. What's the decimal value of z after running the following code. short int x = -36; // binary sequence is 11011100 int y = x; unsigned int z = y;
The decimal value of 'z' after running the given code is 220.
The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.
Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.
Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.
In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.
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The curve y tan x crosses the line y = 7x at a non-zero x-value between x = 0 and X Ξ . Use Newton's method to find where the curves intersect. The curve y = tan x crosses the line y = 7x at x = (Type an integer or decimal rounded to seven decimal places as needed.) Enter your answer in the answer box. 8:04 PM O Type here to search
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To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.
We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.
Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:
x_(n+1) = x_n - f(x_n) / f'(x_n),
where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).
We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.
Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.
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