Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels. The table below shows the cost for each item, including tax. Veronica gave the cashier a $10.00 bill. The cashier handed her 3 quarters and 4 pennies in change. Veronica thought she should have received more change.

Local Convenience Store Prices
Item Price
Bread $2.19
Milk $2.49
Dishwashing Liquid $0.87
Paper Towel $1.47

Which mathematical explanation best supports Veronica's claim?

The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

Let's simplify the expression step by step:

Recall the values of trigonometric functions for common angles:

cos(60°) = 1/2

sin(30°) = 1/2

tan(60°) = √(3)

cot(45°) = 1

sec(30°) = 2

Substitute the values into the expression:

\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)

= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)

= 2(1/16 + 1/16) - (3 + 1) + 3*4

= 2(1/8) - 4 + 12

= 1/4 - 4 + 12

= -15/4 + 12

= -15/4 + 48/4

= 33/4

Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

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Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

  y = 1/3x +3

Step-by-step explanation:

Here, it will be convenient to write the equation in "slope-intercept form." That looks like ...

  y = mx +b . . . . . line with slope m and y-intercept b

__

The y-intercept is the y-value where the line crosses the y-axis. On your graph, there is a point there: (0, 3). That means the y-intercept is b=3.

The slope is the "rise" divided by the "run". The points on your graph are 3 units apart horizontally (run = 3). The point on the right is 1 unit above the point to its left (rise = 1). This means the slope of the line is ...

  m = rise/run = 1/3

Now, you have what you need to write the equation:

  y = 1/3x +3

Answer:

4 5/24

Step-by-step explanation:

29/24 = 1 5/24

1 5/24 + 3 = 4 5/24

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

Answer:

4.21

Step-by-step explanation:

3 + 29/24

3 + 1.21

4.21

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

is $27.50 per each teacket

Answer: The distributive property is a property where there is a coefficient/number, that is being multiplied to a group of numbers enclosed in parentheses. The coefficient can be distributed/multiplied to the numbers in the parentheses individually or after solving the expression in it.

Step-by-step explanation:

You can spot when the distributive property is used when you see a number in front of a group of numbers, such as these examples (in bold):

1. 4(5 + 6) = 46 , in this problem you can solve 5+6 before multiplying it by 4, or multiply 4*5 and 4*6 and then add it.

2. 2(x-3) = 12 , in this situation x is the unknown variable so you must distribute the 2 individually, so the result would look like: (2*x) + (2*-3) -> 2x - 6 = 12

Answer:

180 - 90 = 90

half of 90 = 45

40 and 50??

Step-by-step explanation:

Answer: length = 83, width= 46

Step-by-step explanation: 1. let's call the unknown dimensions x. We know that the formula for perimeter is 2(length) +2(width) so we can substitute.
2. After substituting, the equation should be 2(x) + 2(x-37)=258
3. Distribute. 2x+2x-74=258

4. Simplify. 4x-74=258

5. add 74 to both sides. 4x=332

6. x=83

7. We know that x was the length. The width was 37 less than the length (83). 83-37 is 46. So the length is 83, and the width is 46.

Answer:

Length = 83 ft

Width = 46 ft

Step-by-step explanation:

Rectangular perimeter = 2(length + width)

In this case:

258 = 2(length + width)          Eq. 1

width = length - 37                  Eq. 2

From Eq. 1:

258/2 = length + width

129 = length + width                Eq. 3

Replacing Eq. 2 in Eq. 3

129 = length + (length-37)

129 + 37 = 2 length

166 = 2 length

166/2 = length

length = 83 ft

From Eq. 2:

width = length - 37

width = 83 -37

width = 46 ft

Check:

from Eq. 1:

258 = 2(width + length)

258 = 2(46 + 83)

258 = 2(129)

Answer:

x = -2 and y = -3

Step-by-step explanation:

Yes. (The graph is that of a function)

(a) A. Domain: ]-∞,∞[. Range: [-4,∞[

(b) A. The intercepts are (-5,0) , (-1,0) and (0,5)

Explanation:

The vertical line test is a method to determine if a graph is a function by looking at its amount of intercepts with a random vertical. If there is more than one intercept with the random vertical line it isn't the graph of a function.

Here if you trace a random vertical line at any point of the graph you'll notice that it only intercepts it once. Hence it is a function's graph.

(a)

. The domain is given by the x-axis

On the graph, x can be any number: ]-∞,∞[

. The range is given by the y-axis

On the graph, y can be any number starting from -4 to higher : [-4,∞[

(b)

Intercepts are where the graph touches the x or y axis.

. The graph intercepts with the horizontal line (x-axis), at the point (-5,0) and (-1,0) : Notice y is = 0

. The graph intercepts with the vertical line (y-axis), at the point (0,5) : Notice x is = 0

NB:

When using intervals ∞ is always excluded. Because it is impossible to reach infinity,

Answer: $252

Step-by-step explanation:

21$ an hour x 12 hours = $252 total :)

Answer:

She earned $252 thsi month.

Step-by-step explanation:

1  hour = $21

12 hours = $?

21*12 = 252

Answer: 9 x 3 = 27

Step-by-step explanation: It's basically just 9 + 9 + 9!

Answer: 27

Step-by-step explanation:

9 + 9 + 9 = 27

or

Use a calculator

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Answer:

0.21

Step-by-step explanation:

The simplification of the following expression is

Given that

(0.0245 × 1.2) ÷ (0.08 × 1.75)

Here first we do multiply and after that divided with each other

= 0.0294 ÷ 0.14

= 0.21

Hence, the answer to simplifying the above expression is 0.21

The same would be considered and relevant too

Substitute each variable with it's value, a=2, b=-3, c=-1.

(2) + 9(-3) + 12(-1)

Then solve normally

=2+(-27)+(-12)

=2+(-39)

=(-37)

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

Answer:

1330 in.

Step-by-step explanation:

38 x 35 = 1330

Answer:

1330

Step-by-step explanation:

area = b x h

base (38)

height (35)

38 x 35 = 1330

Based on the given graph, you can conclude:

A. Relative Maximum is f(x) = 1 where x = 2

(Because the relative maximum of a function is given by a point of the graph with a slope m = 0, but this point is not necessarily the absolute maximum. Furthermore, the concavity of the curve at this point is negative).

B. Relative minimum is f(x) = -8 where x = -3

C. Relative minimum is f(x) = 0 where x = 4

Both relative minima correspond to points in which the slope of the line is 0 and the concavity of the line is positive.

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Step-by-step explanation:

ultimately you need to end up with 30% solution

with 10%, 20%, and 50%, you are forced to tamper with the various percentages to reach the desired goal.

Since it is an even 12,000 (i.e. no 12500) and you have no hard container volumes to deal with, therefore find the easiest combination to reach 30%. In this case, (10%+50%)/2 = 30%

So therefore you need 12000 cubic centimeters of liquid, half of it being 50% and half being 10%.

12000/2 = 6000 cubic centimeters each

for 50%, each container is 1,000 cubic centimeters, so 6000/1000 =6 containers  for 10% each container is 500 cubic centimeters, so 6000/500 = 12 containers

Therefore, you need 6 containers of 50% solution and 12 containers of 10% solution.

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

The total number of seats available for the baseball game can be calculated by adding the number of box and club seats available whch is found to be 25,200.

The game of baseball can be used to teach various mathematical concepts, such as probability, statistics, graphing, estimation, and basic arithmetic. The game can also be used to introduce concepts such as geometry and trigonometry, as well as to build problem-solving skills.

The total number of seats available can be calculated by adding the number of box and club seats available, which is

12,600 + 5400 = 18,000.

This total can then be multiplied by the respective percentages of the other two categories to get the total number of seats available.

For instance, the total number of bleacher seats available can be calculated by multiplying 12,000 by 18%.

12,000 x 0.18 = 2,160

Similarly, the total number of grandstand seats available can be calculated by multiplying 12,000 by 42%.

12,000 x 0.42 = 5,040

Hence, the total number of seats available for the baseball game is

18,000 + 2,160 + 5,040 = 25,200.

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Answer:

None are equal.

Step-by-step explanation:

None.

Answer:

Yes. It is accurate for the data shown

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Since the residuals for each point are large when compared to the line, the line of best fit isn't accurate. A higher-degree function will most likely work here.

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

2 2/15

Step-by-step explanation: