You have several purchases you
need to make from the grocery store.
From the grocery store you need to purchase 1/2 Ib cheese, 2 lbs sliced ham,
2 loaves of bread, 3 bags of potato chips, and 2 containers of salsa. You have
a coupon for $3.00 off if your purchase totals more than $25.00 or 10% off if
the total is more than $30.00. The food sales tax is 4%. What is your total
purchase?
Item
Cost
Cheese
$3.99/lb
Sliced Ham
$4.29/lb
Bread
$2,49/ loaf
Potato Chips
$1.99/ea OR 2 for $3.00
Salsa
$2.79/ container
Be sure
to include in
your response:
The
steps you followed to complete your computations.
The choice you
made regarding which discount to use.
The total cost of your purchases.
Answers
How to:
Go through the graph and add all the values together
Then subtract $3.00 from the cost
Then add 4% sales tax
Related Questions
In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 points. How many points did Chrissy have in total after two rounds?
Answers
Consider the following system of equations.
StartLayout Enlarged left-brace 1st row y = 6 x squared 2nd row y = x squared + 4 EndLayout
Answers
The solution to the system of equations is (x, y) = ±(√(4/5), 24/5) or ± (√(4/5), 20/5).
What is the system of equations?
A system of linear equations is a set of two or more equations that includes common variables. To solve a system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
The system of equations given is:
y = 6x²
y = x² + 4
To solve this system of equations, we need to find the values of x and y that satisfy both equations.
Setting the right-hand side of the two equations equal to each other, we get:
6x² = x² + 4
5x² = 4
x² = 4 / 5
x = ±√(4/5)
So, there are two possible values of x, which are positive and negative square roots of 4/5. For each of these values of x, we can use either equation to find the corresponding value of y:
y = 6x^2 = 6 * (4/5) = 24/5
y = x^2 + 4 = (4/5) + 4 = 16/5 + 4 = 20/5
So, the solution to the system of equations is:
(x, y) = ±(√(4/5), 24/5) or ± (√(4/5), 20/5)
This means that there are two points that satisfy both equations, one where x and y are positive, and one where x and y are negative.
Hence, the solution to the system of equations is:
(x, y) = ±(√(4/5), 24/5) or ± (√(4/5), 20/5).
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Solve for x.
8x-53
Graph the solution.
4
-5
-4 -3
-2
-1
0
1
11∞∞∞∞
2
3
4
LO
5
Answers
The solution for x is 7 and the graph is attached
How to determine the solution for xFrom the question, we have the following parameters that can be used in our computation:
8x - 53 = 3
Add 53 to both sides of the equation
So we have
8x = 56
Divide both sides by 8
So, we have the following representation
x = 7
Hence, the solution is 7
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Complete question
Solve for x.
8x-53 = 3
Graph the solution.
according to the triangle Inequality Theorem, if 20 and 25 are the same length of two sides of a triangle, then that represents all posible lengths for the third side is __
Answers
The inequality that represents possible lengths of the third side is 45 ≥ c ≥ 5
How to determine the possible third length?The lengths of the two sides are given as:
20 and 25
Let the third side be c.
The triangle inequality theorem states that:
a + b ≥ c
So, we have:
20 + 25 ≥ c
20 + c ≥ 25
25 + c ≥ 20
Evaluate the inequalities
45 ≥ c
c ≥ 5
c ≥ -5
Remove the negative boundary.
So, we have:
45 ≥ c and c ≥ 5
Rewrite as:
45 ≥ c ≥ 5
Hence, the inequality that represents possible lengths of the third side is 45 ≥ c ≥ 5
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which of the following are identities
Answers
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
We have,
Let's analyze each of the given statements to determine whether they are identities:
tan x = sin x / cos x:
This is an identity.
It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).
tan x cos x = sin x:
This is not an identity.
It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
cos x = tan x sin x:
This is not an identity.
Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
sin x / tan x = cos x:
This is an identity.
It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.
Thus,
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
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There is a a circle whose circumference is 34.54 cm.
Find the diameter of the circle. Remember use 3.14 for T.
Blank 1:
Answers
Answer:
\(\huge\boxed{Diameter=11cm}\)
Step-by-step explanation:
Important information:
Circumference of a circle= \(\pi*diameter\)
Method:
To work out the diameter, we would need to divide the circumference of 34.54 by pi, which in this case is 3.14, this gives us 11cm. This is because we are simply rearanging the formula of the circumference of a circle to make the diameter the subject.
Step By Step:
1) Rearange the formula to make the diameter the subject.
\(diameter=\frac{circumference}{\pi}\)
2) Divide 34.54 by 3.14(\(\pi\)).
\(34.54/3.14=11cm\)
There is a a circle whose circumference is 34.54 cm. Find the diameter of the circle. Remember use 3.14 for π.
- To know the diameter divide 34.54 cm by pi (π) to get the answer.
\( \large \tt d = \frac{34.54}{\pi} \\ \large \tt d = 11cm\)
Therefore, the diameter of the circle is 11cm
#CarryOnLearning39. Find the value of the expression if x= -1 and y= 6.XYa. 3b.-3C.-6/2D. 6/2
Answers
ANSWER
\(b)-3\)EXPLANATION
We want to find the value of the expression:
\(\frac{xy}{2}\)for:
\(\begin{gathered} x=-1 \\ y=6 \end{gathered}\)To do this, substitute the values of x and y into the expression.
That is:
\(\begin{gathered} \frac{(-1)(6)}{2} \\ \Rightarrow\frac{-6}{2} \\ \Rightarrow-3 \end{gathered}\)The answer is option b.
Degrees of freedom for ANOVA is the same as for independent samples t-test
Question 1 options:
True
False
Question 2 (3 points)
In ANOVA, sum of squares is very similar to variance except Question 2 options:
it uses standard error instead
it is not scaled to sample size
it squares the quantity as a final step
it is an omnibus test
Question 3 (3 points)
You are interested in determining if there is a mean difference between people from Canada, Zimbabwe, and Germany. Which of the following would be the best to run?
Question 3 options:
ANOVA
t-test
confidence interval
Correlation
Question 4 (3 points)
You are interested in seeing if there is a mean difference between number off hours spent watching baseball for Yankees fans and Red Sox fans. You would most likely want to run which test?
Question 4 options:
ANOVA
Dependent (paired) samples t-test
Independent samples t-test
Correlation
Question 5 (3 points)
ANOVA is an omnibus test
Question 5 options:
True
False
Question 6 (4 points)
As sample size increases, t-tests are more likely to be....
Question 6 options:
It doesn't influence the statistic
Significant
Nonsignificant
Effective
Question 7 (4 points)
t-test 1: mean difference = 12
t-test 2: mean difference = 20
t-test 2 could be nonsignificant while t-test 1 could be significant
Question 7 options:
True
False
Question 8 (4 points)
The larger the t-statistic, the less likely it is to be significant
Question 8 options:
True
False
Question 9 (3 points)
If our sample size is _____, we often turn to the t-distribution
Question 9 options:
large
unknown
skewed
Small
Answers
Question 1: Degrees of freedom differ (False) Question 3: Best test for mean difference (ANOVA) Question 4: Yankees vs Red Sox (Independent t-test) Question 5: ANOVA is an omnibus test (True) Question 6: Larger sample, more significant (Significant) Question 7: T-test results can differ (True) Question 8: Larger t, more likely significant (False) Question 9: Small sample, use t-distribution (Small)
Question 1: The statement is False. The degrees of freedom for ANOVA and independent samples t-test are not the same. In ANOVA, the degrees of freedom are calculated differently than in an independent samples t-test.
Question 3: The best test to determine if there is a mean difference between people from Canada, Zimbabwe, and Germany would be ANOVA. ANOVA is used to compare the means of more than two groups.
Question 4: To determine if there is a mean difference between the number of hours spent watching baseball for Yankees fans and Red Sox fans, you would most likely want to run an Independent samples t-test. This test compares the means of two independent groups.
Question 5: The statement is True. ANOVA is an omnibus test because it examines whether there are any differences among the means of multiple groups.
Question 6: As sample size increases, t-tests are more likely to be significant. With a larger sample size, there is more power to detect small differences between means.
Question 7: The statement is True. It is possible for t-test 2 to be nonsignificant while t-test 1 is significant. This could occur if the mean difference in t-test 2 is not statistically significant, but the mean difference in t-test 1 is.
Question 8: The statement is False. The larger the t-statistic, the more likely it is to be significant. A larger t-statistic indicates a larger difference between means, which is more likely to be statistically significant.
Question 9: If our sample size is small, we often turn to the t-distribution. The t-distribution is used when the sample size is small and the population standard deviation is unknown.
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Find the equation of the line through (7,-3) and perpendicular to the line 2x-5y-8=0. Write your answer in general form.
Answers
Given:
The line passes through point (7,-3) and perpendicular to line 2x-5y-8=0.
Explanation:
Simplify the equation 2x-5y-8=0 in slope intercept form.
\(\begin{gathered} 2x-5y-8=0 \\ 5y=2x-8 \\ y=\frac{2}{5}x-\frac{8}{5} \end{gathered}\)So slope of line is 2/5.
Determine the slope of perpendicular line.
\(\begin{gathered} m\cdot\frac{2}{5}=-1 \\ m=-\frac{5}{2} \end{gathered}\)The equation of line with slope m = -5/2 is,
\(y=-\frac{5}{2}x+c\)Substitute 7 for x and -3 for y in the equation y = -5/2x + c to determine the value of c.
\(\begin{gathered} -3=-\frac{5}{2}\cdot(7)+c \\ c=-3+\frac{35}{2} \\ =\frac{-6+35}{2} \\ =\frac{29}{2} \end{gathered}\)The value of c is 29/2.
The equation of line is,
\(\begin{gathered} y=-\frac{5}{2}x+\frac{29}{2} \\ y=\frac{-5x+29}{2} \\ 2y+5x-29=0 \end{gathered}\)So answer is 2y + 5x -29 = 0
"In the formula, P3 = Dx/(R − g), the dividend is for period:
a. four.
b. two.
c. one.
d. five.
e. three."
Answers
The dividend in the formula P3 = Dx/(R - g) is for period e. three.
In the given formula P3 = Dx/(R - g), the dividend, Dx, refers to the cash flow or payment made during a specific period. The subscript "3" in P3 indicates the period of time for which the dividend is associated.
In the given formula, P3 = Dx/(R - g), the subscript 3 represents the period of time for which we are calculating the dividend.
The dividend, Dx, represents the cashflow or payment made during a specific period. In this case, the dividend is associated with period 3.
Therefore, the dividend in the formula corresponds to period e. three.
The dividend in the formula P3 = Dx/(R - g) is for period e. three
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Find the equation of the straight line that passes trough the points (1,1) and (0,-7).
Answers
The equation of the straight line passing through the points (1, 1) and (0, -7) is y = 8x - 7. To find the equation of a straight line passing through two given points, we can use the point-slope form of the equation.
Let's consider the points (1, 1) and (0, -7).
First, we calculate the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points, we have:
m = (-7 - 1) / (0 - 1)
m = -8 / -1
m = 8
Now that we have the slope, we can use the point-slope form of the equation, which is:
y - y1 = m(x - x1)
Using the point (1, 1), we have:
y - 1 = 8(x - 1)
Expanding the equation:
y - 1 = 8x - 8
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 8x - 7
Therefore, the equation of the straight line passing through the points (1, 1) and (0, -7) is y = 8x - 7.
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the eight people from four husband-and-wife couples are arranged in a row. each wife is somewhere to the left of her husband. how many such arrangements are there?
Answers
The total number of arrangements is 1,152.
There are 4 husband-wife pairs, which we can treat as units. We can first arrange the wives in any order, which can be done in 4! = 24 ways. Once the wives are arranged, we can arrange the husbands to the right of their wives. The first husband can take any of the 4 available slots to the right of his wife, the second husband can take any of the remaining 3 slots, and so on.
Therefore, the total number of arrangements is:
4! x 4 x 3 x 2 x 1 = 1,152.
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A patient receives 1,200 mL of fluid every 4 hours over the course of 24 hours. How much total fluid does the patient receive in one day ?
Answers
Answer: 72,00 mL
Step-by-step explanation:
Dominick's class flew model airplanes. He recorded the flight distances in a line plot. What is the difference between the longest and shortest distances the model airplanes flew? *
A.3 FEET
B.3 1/2 FEET
C.3 3/4 FEET
D.4 FEET
PLS HELP MEEEE
Answers
Question 1.
Write these numbers in order of size.
Start with the smallest number
0.83
0.833
0.08
0.803
0.8
(Total 1 mark)
Answers
Answer:
0.08
0.8
0.83
0.803
0.833
3/7 x 2/5 will be greater than or less than or equal to 3/7
Answers
Answer:
less than because of 2/5 being so small
5 MINUTES to answer pls help.
20 Points
Answers
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
-3-(-10)/-2+1
-3-5+1
-8+1
-7
Write an expression which is equivalent to w(4w3 + 8w4) – (5w3 – 2w5)
Answers
Answer:
4w4 + 10w5 - 5w3
Step-by-step explanation:
What is the product?
3 x 4/5
The product Write as an improper fraction is ?
the product written as a mixed number is 2 2/5.
Whats the anwser ?
Answers
Answer:
12/5 as an improper fraction
2 2/5 as a mixed number
Step-by-step explanation:
3 * 4/5
Rewriting the whole number as a fraction
3/1 * 4/5
Multiply the numerators
3*4 = 12
Multiply the denominators
1*5 =5
Numerator over denominators
12/5
Rewriting as a mixed number
5 goes into 12 2 times (2*5=10 12-10=2) with 2 left over
2 2/5
find p small and blue
Answers
Answer:
P(Small and Blue) = 3/40
Step-by-step explanation:
Find a basis for the null(TA2). Enter your answer after typing %. m) Find nullity of A2, T12 and A2 A2. Enter your answer after typing %. n). find rank (A2), rank (A2T), rank(TA2) and rank (A2TA2)
Answers
m) To find the basis for null(TA2), solve TA2x = 0. The nullities of A2, T12, and A2 A2 are determined by the number of linearly independent solutions to their respective null equations.
n) The ranks of A2, A2T, TA2, and A2TA2 are calculated by determining the maximum number of linearly independent columns or rows in each matrix.
How to determine nullity and rank?To find a basis for the null space of the matrix TA2, we need to solve the equation TA2x = 0, where x is a vector.
Next, to find the nullity of A2, we count the number of linearly independent vectors in the basis we found for null(TA2).
To find the nullity of T12, we would similarly solve the equation T12x = 0 and count the linearly independent solutions.
To find the nullity of A2 A2, we solve the equation A2 A2x = 0 and count the linearly independent solutions.
The rank of a matrix is the maximum number of linearly independent columns or rows. We find the ranks of A2, A2T, TA2, and A2TA2 by calculating the rank of each matrix using the row reduction method.
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classify the triangle based on angles ?
Answers
Answer:
Obtuse angled triangle
Step-by-step explanation:
A triangle having an obtuse angle ( greater than 90 but less than 180 ) as an interior angle means the triangle is obtuse.
Here 90 < 124 < 180
The triangle is obtuse triangle
A pilot took 1/2 hours to complete his 1/3 pf his ttip how much longer will it take him to complete his trip?
Answers
Answer:
1.5 hours
Step-by-step explanation:
1/2 + 1/2 + 1/2 =1.5
The equipment will cost $26,000. What lump sum should be invested today at 6%, compounded semiannually, to yield $26,000?a. $ 17,189.06 b. $ ...
Answers
To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.
The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:
PV = FV / (1 + r/n)^(n*t)
In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).
Using the formula and substituting the given values:
PV = 26,000 / \((1 + 0.06/2)^(2*1)\)
PV = 26,000 / \((1.03)^2\)
PV = 26,000 / 1.0609
PV ≈ $24,490.92
Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.
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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. Find the velocity and acceleration at t = pi/3 s. v(pi/3) = a(pi/3) =
Answers
The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.
Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s
Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s
Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².
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Find eight different simplified two-level gate circuits to realize
(a) F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w
(b) F(a, b, c, d) = Σ m(4, 5, 8, 9, 13)
Answers
The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')
(a) F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w
From the expression F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w, the truth table can be derived.
Then Karnaugh Maps (K-map) can be applied to make the equations smaller.
In order to make the equations smaller, there are eight different simplified two-level gate circuits that can be used.
K-Map for (a):
The K-Map above is created for the given function F(w, x, y, z). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.
The different simplified two-level gate circuits are as follows:
F(w, x, y, z) = (w'z)(xy') + (wz')(x'y) + (wz)(x + y') + (wx)(y + z') + (wx')(y' + z) + (wy)(x + z') + (wy')(x' + z) + (w'x'z)(y + z)
(b) F(a, b, c, d) = Σ m(4, 5, 8, 9, 13)
The given expression F(a, b, c, d) = Σ m(4, 5, 8, 9, 13) can be simplified by using Karnaugh Maps to make the equations smaller. There are eight different simplified two-level gate circuits that can be used for the simplified expressions. K-Map for (b):
The K-Map above is created for the given function F(a, b, c, d). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.
The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')
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For each inequality, decide whether the solution is represented by x < 2.5 or x > 2.5 .
1. − 4x + 5 >− 5
2. −25 >−5(x+2.5) PLS HELP FAST
Answers
Answer:
I'm stuck to
Step-by-step explanation:
how many gallons of gas would it take to drive to the moon and back
Answers
Answer:
239 miles per gallon for a round trip.
Step-by-step explanation:
you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,
Work out the surface area of this cylinder.
6 cm radius
25 cm height
Answers
Step-by-step explanation:
given,
radius = 6 cm
height = 25 cm
we know,
Surface area of cylinder = 2πrh + 2πr²
after inserting the values we got,
→ 2 × 22/7 × 6 × 25 + 2 × 22/7 × 36
→ 942.85 + 226.28
→ 169.13
hope this answer helps you dear...may u have a great day ahead!.
the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. determine the 28th percentile
Answers
The 28th percentile for the number of chocolate chips in the bag is 1192.206
To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.
Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583
The formula for finding X (the number of items in a given percentile) is:
X = M + Z(S.D.)
Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.
So for the 28th percentile,
X = 1261 + (-0.583)(118)
X = 1261 - 68.79 = 1192.206
Hence the 28th percentile id 1192.206
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