Jake has a floor that is 64 square feet. He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet. The tiles may be cut as needed. What is the fewest number of tiles required to fill the space while also requiring the fewest tiles to be cut? Show a diagram of the completed floor.

The discriminant is calculated using the formula b squared minus 4ac.It reveals how many possible answers there are to a quadratic problem.

The section of the quadratic formula following the square root symbol, b2-4ac, is the discriminant. If there are two solutions, one solution, or no solutions, the discriminant informs us of this. There are two solutions if the discriminant is bigger than zero. The square root's input (i.e., its contents), which is the phrase b2 4ac, is known as the "discriminant" because using its value, you may "discriminate" between (i.e., be able to distinguish between) the different solution types.

here

Keeping in mind that a, b, and c are the coefficients of your quadratic in standard form,

the discriminant is calculated using the formula b squared minus 4ac.

It reveals how many possible answers there are to a quadratic problem.

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Using formula of midpoint of a line, the coordinate of the midpoint is (-3, 0)

The midpoint of a line is a point that is equidistant from both endpoints of the line. It can be found by taking the average of the x-coordinates of the two endpoints, and then taking the average of the y-coordinates of the two endpoints. For example, if the two endpoints of a line are (x₁, y₁) and (x₂, y₂), then the midpoint of the line is:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Substituting the values into the formula;

M(x, y) = (-7 + 1) / 2, (-5 + 5) / 2

M(x , y) = -6/2, 0/2

M(x, y) = -3, 0

The coordinate of midpoint is (-3, 0)

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Answer:

c

Step-by-step explanation:

10 times 8 = 80

80 times 3 = 240

Answer:

A

Step-by-step explanation:

length times width times height  will give you volume

For the given graph, the domain and range of the relation equals [-4, 6].

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.

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Answer:

7÷2

Step-by-step explanation:

6 3/4= 6.75

1 2/3= ~1.67

round up 6.75 to 7 and 1.67 to 2

7÷2

Step-by-step explanation:

Answer: 0.155

Step-by-step explanation:

To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:

P(k) = (μ^k * e^(-μ)) / k!

Where:

Plugging in the given values, we get:

P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550

So the probability of the event occurring 5 times is approximately 15.5%.

Answer:

104

Step-by-step explanation:

As a result of the inverse relationship between z and w, their product is constant.

There is an inverse relationship between two parameters when they are connected, where the value of one parameter tends to decrease as the value of the other parameter increases. It's often described as a "bad friendship" in conversation.

z * W is equal to 1.

The statement indicates that the constant's value is 2/3, so:

z * w = 2/3

The result of solving for any of the variables is:

either w = (2/3) / z or z = (2/3) / w

The following values fit that relation:

z w = (2/3) / z

-8/9 (2/3) / (-8/9)

= - (2/3) * (9/8) = -3/4

- 4/9 (2/3) / (-4/9)

= - (2/3) * (9/4) = - 3/2

- 2/9 (2/3) / (-2/9)

= - (2/3) * (9/2) = - 3

2/9 (2/3) / ( 2/9)

= (2/3) * (9/2) = 3

4/9 (2/3) / (4/9)

= (2/3) * (9/4) = 3/2

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Answer

false

Step-by-step explanation:

the absolute value of -1 is 1, and the opposite of -1 is also 1, so it would be false since these are the same

Answer:

Lauren is now 12 years old.

Step-by-step explanation:

Lauren is now 12 years old, and Elizabeth is 19.

5 years ago, when Lauren was 7 years old, Elizabeth was twice her age, so she was 14.  

✅

An equation is formed when two equal expressions. Lauren is currently 12 years old.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the present age of Elizabeth be represented by E, while the present age of Lauren is represented by L.

Given that Elizabeth is 7 years older than her sister Lauren.

Therefore, we can write the relation between their age as,

E = L + 7

Also, it is given that Five years ago, Elizabeth was twice Lauren's age.

(E - 5) = 2(L - 5)

E - 5 = 2L - 10

Substitute the value of E from the first equation,

L + 7 - 5 = 2L - 10

7 - 5 + 10 = 2L - L

L = 12

Hence, Lauren is currently 12 years old.

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Answer: the opposite number will be positive

Step-by-step explanation:

Answer:

The probability here is 62%

The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).

The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:

P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)

We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.

To apply the normal approximation, we standardize the random variable X as follows:

Z = (X - np) / √(np(1-p))

Then we can use a standard normal distribution table or calculator to find the probability:

P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495

Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

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Answer:

B) (0, 0)

Step-by-step explanation:

It is where the two figures intersect on the graph!

Hope this Helps!! :))

Answer:

Option C, neither.

Step-by-step explanation:

Here we have the table:

x: -10    -3    4    11

y:   1      6    30   120

This means that if our function is f(x), then:

f(-10) = 1

f(-3) = 6

f(4) = 30

f(11) = 120

We want to know if this represents a linear equation or an exponential equation or neither.

First, let's try with a linear equation.

We know that a linear equation can be written as:

f(x) = a*x + b

Then let's input the known values and let's see if this equation works.

We can use two of the known points to get:

f(-10) = 1 = a*-10 + b

f(4) = 30 = a*4 + b

With these equations, we can find the value of a and b, once we find these values, we can see if the equation also works for the other two points.

1 = a*-10 + b

30 = a*4 + b

First, we need to isolate one of the variables in one of the equations.

I will isolate b in the first one:

b = 1 + a*10

Now we can replace this in the other one to get:

30 = a*4 + 1 + a*10

30 = 1 + a*14

30 - 1 = a*14

29 = a*14

29/14 = a = 2.07

and using the equation b = 1 + a*10 we can find the value of b:

b = 1 + 2.07*10 = 1 + 20.7 = 21.7

Then the equation we get is:

f(x) = 2.07*x +  21.7

Now we need to see if this works for the other two points:

for x = -3, we need to get: f(-3) = 6

f(-3) = 2.07*-3 + 21.7 = 15.49

We did not get the value we expected, then we already know that the relationship is not linear.

Now let's see if the relationship can be exponential.

An exponential function is written as:

f(x) = A*(r)^x

Let's do the same as above, let's use two of the known points to find the values of A and r

f(-3) = 6 = A*(r)^(-3)

f(4) = 30 = A*(r)^4

Now we have the system of equations:

30 = A*(r)^4

6 = A*(r)^(-3)

If we take the quotient of these two equations, we get:

(30/6) = (A*(r)^4)/( A*(r)^(-3))

5 = (r^4)*r^3 = r^(4 + 3) = r^7

(5)^(1/7) = r = 1.258

And the value of A is given by:

30 = A*(1.258)^4

30/( (1.258)^4 ) = 11.98

Then the exponential equation is something like:

f(x) = 11.98*(1.258)^x

Now let's see if this equation also works for the other two points:

for x = -10, we should get f(-10) = 1

Let's see that:

f(-10) = 11.98*(1.258)^(-10) = 1.2

And for x = 11 we should get f(11) = 120

f(11) =  11.98*(1.258)^(11) = 149.6

So we get values closer to the ones we should get, but not the exact ones, so this is not an exponential relation.

Then the correct option is C, neither.

The measures of missing angles in trapezoids are listed below:

Case 5: m ∠ J = 75°, Case 7: m ∠ T = 118°

In this question we must determine the measures of missing angles in trapezoids. There are two hints to determine the values of the missing angles:

Now we proceed to determine the missing angles in every trapezoid:

Case 5

m ∠ K + m ∠ J = 180°

21 · x + 15 · x = 180°

36 · x = 180°

x = 5

m ∠ J = 15 · x

m ∠ J = 15 · 5

m ∠ J = 75°

Case 7

m ∠ U = m ∠ T

m ∠ T = m ∠ U

m ∠ T = 118°

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Answer:

After the pumping, Container B is 11.8\%11.8% empty.

Step-by-step explanation:

The volume of water inside Container B equals the entire volume of Container A. The empty portion of Container B is equal to the entire volume of Container B minus the volume of water inside Container B. So the volume of empty space inside Container B is equal to 1570.7963-1385.44241570.7963−1385.4424 which equals 185.3539. The percent of Container B that is empty can be found by setting up a proportion with the entire volume of Container B: 11.8 %

the answer would be 7/8

Step-by-step explanation:

Answer: It is not possible for me to draw a slope triangle or dilate it along the graph without more information about Sara's monthly savings.

To determine whether the amount Sara saves each month is constant, you can choose any two points on the graph and use them to calculate the slope of the line connecting them. If the slope is constant for all pairs of points, then the amount Sara saves each month is constant. If the slope is not constant, then the amount Sara saves each month is not constant.

To calculate the slope of the line connecting two points, you can use the following formula:

slope = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

You can then use the slope triangle to visualize the slope of the line connecting the two points. If you dilate the slope triangle along the graph and the slope remains constant, then the amount Sara saves each month is also constant.

Step-by-step explanation:

Answer:

A and D

I graphed the equation on desmos

Answer:

A,D

Step-by-step explanation:

Answer: 280

Step-by-step explanation:

change 70 into a decimal, by moving the period 2 times the the left etc. and multiply it by 400 to get the answer.

0.70 x 400 = 280

Answer:

2 1/6

Step-by-step explanation:

Answer:

11

Step-by-step explanation: says it

Answer:

radius = 2 center = (4,1)

Answer:

V = πr²h

r = √V/πh

r = √8281 cm³/(3.14)(23 cm)

r = √8281 cm³/72.22 cm

r = √114.66 cm²

r = 10.71 cm

Answer:

44.044 is your answer dude

The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3

Either 4 or is the appropriate response.

Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.

Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.

x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.

A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.

Therefore, either x = 4 or x = 5.

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Answer:

f=1               e=2          d=3

Step-by-step explanation:

Answer: I believe it’s 10 ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation: