A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten'sand the total amount of money in the cash register is 720 dollars. How many ten's are in the cashregister?

Answer: -4

Step-by-step explanation: The points are (2,4) and (4,-4) using the slope formula, (y2-y1)/(x2-x1) youd get -4 as your slope. Hope this helps!!

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

39916800

Step-by-step explanation:

1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10 × 11

Answer: 52 cm

Step-by-step explanation: 15+15=30 11+11=22 30+22=52

Answer:

52 cm (?)

Step-by-step explanation:

I'm assuming this is a rectangle.

you take each of the sides(with rectangles, two of each sides will have the same length) and add them together.

15 + 15 + 11 + 11 = 52

1. An algebraic expression that represents each purchase is as follows:

2. Supposing that x has the same value in both expressions written above, the two algebraic expressions are not equivalent because the slope of expression A is greater than the slope of expression B.

3. The cost of a soccer ball in relation to the cost of a baseball cannot be represented by the algebraic expression 4 + 5x because it is given that the cost of a soccer ball is $15, and no number can substitute the x variable to equate the two.

An algebraic expression is a combination of terms (variables and constants) using the mathematical operations of addition, subtraction, multiplication, division, etc.

a) 15x + 4(6) = 15x + 24

b) 4(6) + 5x = 24 + 5x or 5x + 24

c) Cost of a soccer ball = $15

Cost of a baseball = $6

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Soccer balls = $15 each

Baseballs=$6 each

Sweat socks =$5 per pair

The rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time.

To find the rate at which the infected population is growing after 8 days, we need to take the derivative of the given function I(t) with respect to t:

\(dI/dt = 3900(0.0514)e^(0.0514t)\)

At t=8, the rate at which the infected population is growing is:

\(dI/dt = 3900(0.0514)e^(0.0514*8) = 1096.57\)

Therefore, the rate at which the infected population is growing after 8 days is approximately 1096.57 people per day.

It is important to note that this rate of growth is an instantaneous rate at t=8, and it will likely change as time passes and the outbreak progresses. Furthermore, the rate of growth of the infected population depends on various factors such as the transmission rate of the virus, the effectiveness of preventive measures, and the availability of healthcare resources.

In conclusion, the rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time. This result provides insight into the early stages of a flu outbreak, but further analysis is required to understand the longer-term dynamics of the outbreak and the factors that affect the spread of the disease.

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To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

Answer:

Fail :b

Step-by-step explanation:

Answer:

Equilateral

Step-by-step explanation:

Answer:

equilateral

Step-by-step explanation:

Answer:

it's C

All the graphs except C crosses the x axis at the roots but C doesn't

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer: \(-\frac{1}{2}\)

Step-by-step explanation:

To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.

\(x+2y=16\)             [subtract both sides by x]

\(2y=-x+16\)          [divide both sides by 2]

\(y=-\frac{1}{2}x+8\)

Now, we know that \(m=-\frac{1}{2}\). That tells us \(-\frac{1}{2}\) is the slope.

Step-by-step explanation:

x+2y=16

-× -×

2y=-x+16

÷2. ÷2

y=-1/2x+8

slope is -1/2

Answer:

.

Step-by-step explanation:

.

With the help of probability we can say that, DUM={GG,BB,GB,BG).

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

hence, DUM={GG,BB,GB,BG)

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Answer:

see explanation

Step-by-step explanation:

26

given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = \(\frac{15}{4}\) when x = 15

\(\frac{15}{4}\) = 15k ( divide both sides by 15 )

\(\frac{\frac{15}{4} }{15}\) = k , then

k = \(\frac{15}{4}\) × \(\frac{1}{15}\) = \(\frac{1}{4}\)

y = \(\frac{1}{4}\) x ← equation of variation

when x = 11 , then

y = \(\frac{1}{4}\) × 11 = \(\frac{11}{4}\)

27

given y varies inversely as x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

to find k use the condition y = 4 when x = 9

4 = \(\frac{k}{9}\) ( multiply both sides by 9 )

36 = k

y = \(\frac{36}{x}\) ← equation of variation

when x = 7 , then

y = \(\frac{36}{7}\)

Answer:

26)  y = 11/4

27)  y = 36/7

Step-by-step explanation:

Direct variation is a mathematical relationship between two variables where a change in one variable directly corresponds to a change in the other variable. It is represented by the equation y = kx, where y and x are the variables and k is the constant of variation.

To find the constant of variation, k, substitute the given values of y = 15/4 when x = 15 into the direct variation equation and solve for k:

\(\begin{aligned}y&=kx\\\\\dfrac{15}{4}&=15k\\\\k&=\dfrac{1}{4}\end{aligned}\)

To find the value of y when x = 11, substitute the found value of k and x = 11 into the direct variation equation, and solve for y:

\(\begin{aligned}y&=kx\\\\y&=\dfrac{1}{4} \cdot 11\\\\y&=\dfrac{11}{4}\end{aligned}\)

Therefore, if y varies directly as x, then y = 11/4 when x = 11.

\(\hrulefill\)

Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a corresponding decrease in the other variable, and vice versa, while their product remains constant. It is represented by the equation y = k/x, where y and x are the variables and k is the constant of variation.

To find the constant of variation, k, substitute the given values of y = 4 when x = 9 into the inverse variation equation and solve for k:

\(\begin{aligned}y&=\dfrac{k}{x}\\\\4&=\dfrac{k}{9}\\\\k&=36\end{aligned}\)

To find the value of y when x = 7, substitute the found value of k and x = 7 into the inverse variation equation, and solve for y:

\(\begin{aligned}y&=\dfrac{k}{x}\\\\y&=\dfrac{36}{7}\end{aligned}\)

Therefore, if y varies inversely as x, then y = 36/7 when x = 7.

1(34)=θ≈41.41∘. Explanation: The planes assent is the hypotenuse and the distance traveled is the adjacent side of the triangle. is the correct answer

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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When points x,y are chosen randomly from the intervals [0,2] and [0,1], respectively, the probability that y is less than or equal to x squared, i.e., y ≤ x², is 1/3.

To solve this problem, we need to determine the area of the region where y is less than or equal to x squared. We can visualize this region by graphing the equation y = x², which is a parabola that opens upward and passes through the points (0, 0) and (1, 1).

Next, we need to find the area of the rectangle formed by the intervals [0, 2] and [0, 1], which has an area of 2.

To find the probability that y ≤ x², we need to divide the area of the region where y is less than or equal to x squared by the area of the rectangle.

To do this, we can integrate the equation y = x² with respect to x from 0 to 1, which gives us the area under the curve between x = 0 and x = 1. This integral is equal to 1/3.

Therefore, the probability that y ≤ x² is 1/3.

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Answer:

24 questions

Step-by-step explanation:

you would make the percentage a decimal and times that by how many problems.

Answer:

24 problems

Step-by-step explanation:

I like to do it like this: I find out what 10 percent is, so I divide it by 10. 30/10=3. 10 percent plus 10 percent is 20 percent. That's 6. 100 percent minus 20 is 80 percent. 30 - 6 is 24. Hope this helps.

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

(0,2) x (3,-2)

Step-by-step explanation:

Answer:

7 :ans is 10

8: ans is 25

9: ans is 46

Answer:

386.0285

Step-by-step explanation:

Answer:

$405.33

Step-by-step explanation:

I assume you are looking for the final sale price including the markup and tax.

original cost: $269.95

To add the markup of 43%, we multiply the cost by 1.43. To add the tax of 5%, we multiply by 1.05.

final sale price = 1.05 × 1.43 × $269.95

final sale price = $405.33

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

Answer:

Step-by-step explanation: