Given
find the unit price
A) $3.19 170g (6oz)
B) $3.12 170g (6oz)
C) $5.49 170g (6oz)
give the answer cents per unit size and round to the nearest hundredth, what is better deal
Solution
part a
\(\begin{gathered} \text{ \$ 3.19} \\ 100\text{cent = \$1} \\ \text{ \$3.19=319cent} \\ \frac{319}{170}=1.88\text{ cent per unit} \end{gathered}\)Part b
\(\begin{gathered} \text{ \$3.12=312cent} \\ \frac{312}{170}=1.84\text{ cent per unit} \end{gathered}\)Part C
\(\begin{gathered} \text{ \$ 5.49=519cent} \\ \frac{519}{170}=3.23\text{cent per unit} \end{gathered}\)The best deal is the least amount per unit
which is Option B
The final answer
\(undefined\)Are the functions
y = -2x + 1 and 2x - 3y = 6 parallel, perpendicular, or neither?
Answer:
they are perpendicular. If you want to check, go on desmos and put both equations there.
Find from first principle of derivative e^sinx ¡. e
Therefore, the derivative of e^(sin(x)) * \(e^{x}\) is \(e^{x}\) * \(e^{sinx}\)* (cos(x) + 1), which we have found from first principles using the product rule.
What are derivatives?In mathematics, a derivative is a measure of how a function changes as its input changes. It is the rate at which the function is changing at a particular point.
More specifically, the derivative of a function f(x) at a point x0 is defined as the limit of the difference quotient (f(x) - f(x0)) / (x - x0) as x approaches x0, provided this limit exists. This limit is denoted by f'(x0), which is read as "f prime of x0".
Geometrically, the derivative of a function at a point represents the slope of the tangent line to the graph of the function at that point.
The concept of derivatives is essential in calculus and is used in many fields of science, engineering, economics, and finance. They are used to find rates of change, optimize functions, and model physical phenomena.
We can use the product rule of differentiation to find the derivative of \(e^{sinx}\) * \(e^{x}\):
Let f(x) = \(e^{sinx}\) and g(x) = \(e^{x}\)then the product rule states that:
(f(x) * g(x))' = f(x)' * g(x) + f(x) * g(x)'
Now we find the derivatives of f(x) and g(x):
f(x) = \(e^{sinx}\), so, f'(x) = cos(x) * e^(sin(x))
g(x) =\(e^{x}\), so, g'(x) = \(e^{x}\)
Therefore, the derivative of \(e^{sinx}\) * \(e^{x}\)is:
(f(x) * g(x))' = \(e^{sinx}\) * \(e^{x}\))'
= f'(x) * g(x) + f(x) * g'(x)
= cos(x) * \(e^{sinx}\) * \(e^{x}\) + \(e^{sinx}\) * \(e^{x}\)
Simplifying this expression gives:
(\(e^{sinx}\)) * \(e^{x}\))' = \(e^{x}\) * \(e^{sinx}\)* (cos(x) + 1)
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Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
Jayne has 860 grams of caster sugar.
How much more caster sugar will she need to make 4 jars of jam?
(2 1
2
-
4
-
5
) ÷
3
-
4
Answer:
\(63\frac{6}{9}\)
Step-by-step explanation:
\((212-4-5)\) ÷ \(3-4=\)
\(203\) ÷ \(3-4=\)
\(67\frac{6}{9}-4=\)
\(=63\frac{6}{9}\)
Hope this helps
Lynne needs to borrow $9250 for cosmetic surgery she obtains a loan from her grandmother for 24 months at a simple interest rate of 7.1%. What is the loans future value?
The loan's future value, FV = $10563.5
Explanations:Let the amount borrowed by Lynned be the principal, P
P = $9250
The interest rate , r = 7.1%
r = 7.1 / 100
r = 0.071
Time, t = 24 months
12 months = 1 year
24 months = 2 years
t = 2 years
The future value is given by the formula:
FV = P ( 1 + rt)
FV = 9250 ( 1 + 0.071(2) )
FV = 9250 ( 1 + 0.142)
FV = 9250 ( 1.142)
FV = $10563.5
A detective is called to the scene of a crime where a dead body has just been found......
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
To raise money for after-school programs at an elementary school, a group of parents is holding a weekend of games in a community center. They charge $8 per person for entry into the event. The group would like to earn at least $600, after paying for the cost of renting the space, which is $40 an hour. If x represents the number of entry tickets sold and y the hours of space rental, which inequality represents the constraints in the situation? Group of answer choices 8x-40y 600 8x-40y > 600
Answer:
\(8x-40y\geq 600\) and \(x>0,y>0\)
Step-by-step explanation:
The number of people is \(x\) and the number of hours they are present in the space is \(y\).
Per person entry cost is $8.
Per hour cost of rent is $40.
They plan to earn a minimum of $600.
Donations by all the people entering the space is \(8x\)
Total cost of renting the space is \(40y\) which will be subtracted from the total amount of donations.
The inequality that represents the situation is \(8x-40y\geq 600\) and \(x>0,y>0\).
What is the turning point of the graph of f(x)=|x|+4
?
(0, 4)
(0, −4)
(4, 0)
(−4, 0)
The vertex is at (0, 4), then we conclude that the turning point is at(0, 4), thus the correct option is the first one.
What is the turning point of the graph of f(x)=|x|+4?
We define the turning point on a graph as the point where the graph changes its behavior (it changes from decreasing to increasing, or from increasing to decreasing).
For the case of absolute value functions, the turning point is always on the vertex, and remember that for the general absolute value function:
f(x) = |x + a| + b
The vertex is at (-a, b).
Then in this case:
f(x) = |x| + 4
The vertex is at (0, 4), then we conclude that the turning point is at(0, 4), thus the correct option is the first one.
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Select whether the pair of lines is parallel, perpendicular, or neither. y−4=3(x+5), y+3=−13(x+1)
Answer:
neither
Step-by-step explanation:
parallel lines will have the same number next to the x
perpendicular lines will have the negative reciprocal number next to the x
(for example 2 and -1/2 are negative reciprocals)
y−4=3(x+5)
parenthesis first
y−4=3x+15
y=3x+19
y+3= −13(x+1)
y+3= −13x−13
y= −13x−16
3x and −13x are neither the same nor negative reciprocals of each other so
the answer is neither
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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If M2BAC = (3x – 1)º, m_chD = (6x + 10)°, m2DAE (2x + 6)°, and m_BAE = 103°, then find the mZCAD
Answer:
mZCAD=310°
Step-by-step explanation:
M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°
simplify 3 upon 10 + 4 upon 5
3^10 + 4^5
Please help ya boy out please
Answer:
its a
Step-by-step explanation:
its a trust me
cual es la rai cuadrada de 999 y de 666
Answer:
666: La Segunda Raíz o Raíz Cuadrada del número 666 es 25.8069758011
Esto se comprueba multiplicando 25.8069758011 por si mismo, debe arrojar como resultado 666
999:La Segunda Raíz o Raíz Cuadrada del número 999 es 31.6069612586
Esto se comprueba multiplicando 31.6069612586 por si mismo, debe arrojar como resultado 999
Por, Daruing ;) aka hernadar004
Rewrite in simplest form: 8(2x)
Answer:
Probably is 16x
Answer:
8×2x
Step-by-step explanation:
As u know that the bracket mean multiplication
Select the correct answer.
If no denominator equals zero, which expression is equivalent to 15/x-6 + 7/x+6?
A.
OB.
OC.
OD.
22 +132
²36
22-48
236
22
C.36
22 +48
²36
The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).
Given expression is,
[15 / (x - 6)] + [7 / (x + 6)]
Cross multiplying the two fractional expressions,
= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]
= [15x + 90 + 7x - 42] / [x² - 6²]
= (22x + 48) / (x² - 36)
Hence the equivalent expression is D.
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A production process produces 90% non-defective parts. A sample of 10 parts from the production process is selected.a. What is the probability that the sample will contain 7 non-defective parts? (0.0574)b. What is the probability that the sample will contain at least 8 defective parts? (3.716 X 10-7)c. What is the probability that the sample will contain less than 2 non-defective parts? (9.1 X 10-9)d. What is the probability that the sample will contain no defective parts? (1 X 10-10)e. what is the mean, and standard deviation of the non-defective parts? (9, 0.949)
Answer: Let's use the binomial distribution to answer parts (a) through (d) of the question:
(a) The probability of getting 7 non-defective parts out of 10 can be calculated as:
$$P(X = 7) = \binom{10}{7}(0.9)^7(0.1)^3 \approx 0.0574$$
where $X$ is the number of non-defective parts in the sample, and $\binom{10}{7}$ is the binomial coefficient.
Therefore, the probability of getting 7 non-defective parts out of 10 is approximately 0.0574.
(b) The probability of getting at least 8 defective parts can be calculated as the complement of the probability of getting 7 or fewer defective parts:
$$P(X \geq 8) = 1 - P(X \leq 7)$$
Using the cumulative distribution function (CDF) of the binomial distribution, we can find:
$$P(X \leq 7) = \sum_{i=0}^7 \binom{10}{i}(0.1)^i(0.9)^{10-i} \approx 0.9999996284$$
Therefore, the probability of getting at least 8 defective parts is:
$$P(X \geq 8) \approx 1 - 0.9999996284 \approx 3.716 \times 10^{-7}$$
(c) The probability of getting less than 2 non-defective parts can be calculated as:
$$P(X < 2) = P(X = 0) + P(X = 1)$$
Using the binomial distribution formula, we get:
$$P(X = 0) = \binom{10}{0}(0.9)^0(0.1)^{10} = 1 \times 10^{-10}$$
$$P(X = 1) = \binom{10}{1}(0.9)^1(0.1)^9 \approx 9.1 \times 10^{-9}$$
Adding these probabilities, we get:
$$P(X < 2) \approx 1 \times 10^{-10} + 9.1 \times 10^{-9} \approx 9.1 \times 10^{-9}$$
Therefore, the probability of getting less than 2 non-defective parts is approximately 9.1 × 10−9.
(d) The probability of getting no defective parts can be calculated as:
$$P(X = 0) = \binom{10}{0}(0.9)^0(0.1)^{10} = 1 \times 10^{-10}$$
Therefore, the probability of getting no defective parts is 1 × 10−10.
(e) To find the mean and standard deviation of the number of non-defective parts, we can use the following formulas:
$$\mu = np = 10 \times 0.9 = 9$$
$$\sigma = \sqrt{np(1-p)} = \sqrt{10 \times 0.9 \times 0.1} \approx 0.949$$
Therefore, the mean and standard deviation of the number of non-defective parts are 9 and 0.949, respectively.
Step-by-step explanation:
How do you write 11/15 as a decimal
To write \(\dfrac{11}{15}\) as a decimal, you need to divide the numerator by the denominator.
The numerator of the fraction is 11.
The denominator of the fraction is 15.
\(11\div15\)
\(=\fbox{0.73}\)
What is the measure of each exterior angle of a regular 15-sided figure?
o 180°
O 360°
o 24°
o 156°
Answer:
24°
Step-by-step explanation:
A regular 15-sided figure is 360°
Interior angle = 180°
Exterior angle = 180°
180 + 180 = 360
360° / 15 sides = 24° per side
Find the area of the figure. (Sides meet at right angles.)
7 yd
3 yd
2 yd
4 yd
10 yd
3 yd
yd
7yd
62 square yards is the area of the figure.
What is Area?Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape
In the given figure there are three rectangle in that two are smaller rectangles squares.
The rectangle has length of 10 yd and width of 5 yd.
Area of rectangle (Large)=10×5
=50 square yds
The side length of smaller rectangle is 3 yards and width is 2 yd
Area of rectangle (small)=3×2
6 square yds.
As there are two smaller rectangles, then area will be 2(6)=12 yards.
Now total area = 50+12
=62 square yards.
Hence, the area of the figure is 62 square yards.
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Help me please right now.
Solve for a and b.
Simplifying
10x + -8 = ax + b
Reorder the terms:
-8 + 10x = ax + b
Solving
-8 + 10x = ax + b
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1ax' to each side of the equation.
-8 + -1ax + 10x = ax + -1ax + b
Combine like terms: ax + -1ax = 0
-8 + -1ax + 10x = 0 + b
-8 + -1ax + 10x = b
Add '8' to each side of the equation.
-8 + -1ax + 8 + 10x = 8 + b
Reorder the terms:
-8 + 8 + -1ax + 10x = 8 + b
Combine like terms: -8 + 8 = 0
0 + -1ax + 10x = 8 + b
-1ax + 10x = 8 + b
Reorder the terms:
-8 + -1ax + -1b + 10x = 8 + b + -8 + -1b
Reorder the terms:
-8 + -1ax + -1b + 10x = 8 + -8 + b + -1b
Combine like terms: 8 + -8 = 0
-8 + -1ax + -1b + 10x = 0 + b + -1b
-8 + -1ax + -1b + 10x = b + -1b
Combine like terms: b + -1b = 0
-8 + -1ax + -1b + 10x = 0
The solution to this equation could not be determined.
Answer:
a = 10 and b = 8
Step-by-step explanation:
comparing the two equations
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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Write an equivalent expression by distributing the "-" sign outside the parentheses:
-(-3.7s8t) - 7.1
Answer:
3.7s8t + 7.1
To distribute the "-" sign outside the parentheses in the expression -(-3.7s8t) - 7.1, we first apply the negative sign to the term inside the parentheses, which is -(-3.7s8t) = 3.7s8t. Then we add the 7.1 to the 3.7s8t, giving us the final expression 3.7s8t + 7.1.
If P:Q = 1/3: 2 and P: R= 3/4:1/2 what is the ratio of p:q:r
Answer:
Step-by-step explanation:
??????????????? What’s the question?!
what is the power of x in x^m*x^n
The power of x in the exponent x^m*x^n is: m + n
How to use laws of exponents?Some of the laws of exponents are:
1) When multiplying like bases, keep the base the same and add the exponents.
2) When raising a base with a power to another power, keep the base the same and multiply the exponents.
3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Now, we are given the expression:
x^m * x^n
Using power of power rule of exponents, we have the solution as:
x^m * x^n = x^(m + n)
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100 POINTS
A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.
Answer:
x = 28132°Step-by-step explanation:
The two marked angles must have same value as corresponding angles:
3x + 48 = 6x - 366x - 3x = 48 + 363x = 84x = 28The angle measure:
3*28 + 48 = 132°Angles are equal as they are corresponding
3x+48=6x-36x+16=2x-1228=xAngle :-
3(28)+48132°Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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