Select the correct answer from each drop-down menu. phyllis bought 21 feet of wood to frame a window. if she makes a triangular window, what is the greatest area the window can have? for a given perimeter, the triangle with the largest perimeter is triangle. using this type of triangle, the sides would measure . so, the greatest area the window could be is about square feet.

Answer:

k = 10

Step-by-step explanation:

For f(x) = x³ + kx² - kx - 93 to be divisible by (x+3) with no remainder, it means that at (x + 3) is a factor of the polynomial f(x).

Thus, it means that at x = -3, f(x) must be equal to zero.

Thus;

(-3)³ + k(-3)² - k(-3) - 93 = 0

-27 + 9k + 3k - 93 = 0

12k - 120 = 0

12k = 120

k = 120/12

k = 10

The complete question is:

Create a matrix for this linear system:

what is the solution of the system?

\($\left[\begin{array}{rrr}1 & -1 & -2 \\ 2 & 3 & -1\end{array}\right] c=\left[\begin{array}{r}1 \\ -2\end{array}\right]$\)

The solution straight from the matrix as

\($&x=\frac{1}{5}+\frac{7}{5} r \\\)

\($&y=-\frac{4}{5}-\frac{3}{5} r \\\)

and z = r

A solution to a system of equations exists a set of values for the variable that satisfy all the equations simultaneously.

Given:

\($\left[\begin{array}{rrr}1 & -1 & -2 \\ 2 & 3 & -1\end{array}\right] c=\left[\begin{array}{r}1 \\ -2\end{array}\right]$\)

By applying two more row operations, we get

\($&{\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\2 & 3 & -1 & -2\end{array}\right] R_{2}+(-2) R_{1} \rightarrow R_{2}} \\\)

\(&\equiv\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\0 & 5 & 3 & -4\end{array}\right] \frac{1}{5} R_{2} \rightarrow R_{2} \\\)

simplifying the above matrix, we get

\(&\equiv\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\0 & 1 & \frac{3}{5} & -\frac{4}{5}\end{array}\right] R_{1}+R_{2} \rightarrow R_{1} \\\)

\($&\equiv\left[\begin{array}{rrr|r}1 & 0 & -\frac{7}{5} & \frac{1}{5} \\0 & 1 & \frac{3}{5} & -\frac{4}{5}\end{array}\right]$$\)

The solution straight from the matrix as

\($&x=\frac{1}{5}+\frac{7}{5} r \\\)

\($&y=-\frac{4}{5}-\frac{3}{5} r \\\) and

z = r

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Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

If a lawn sprinkler sprays water 7 feet in every direction as it rotates, the area of the watered lawn is approximately 153.94 square feet.

Assuming the sprinkler is placed at the center of the lawn, the area of the watered lawn can be found by calculating the area of a circle with a radius of 7 feet. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Plugging in the given value of the radius, we get:

A = π(7 feet)^2

A = 153.94 square feet (rounded to two decimal places)

It's important to include the correct unit of measure, which is square feet in this case, to avoid confusion.

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The probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.

To calculate the probability that at least 22 out of 25 computers will work in good condition, we can use the binomial distribution formula.

The binomial distribution formula is given by:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the number of ways to choose k items from a set of n items (also known as the binomial coefficient),

p is the probability of success on a single trial, and

n is the total number of trials.

In this case, n = 25 (the total number of computers selected), k ranges from 22 to 25 (at least 22 working computers), and p = 0.89 (probability of a computer working, which is 1 - 0.11).

Let's calculate the probability using these values:

P(X ≥ 22) = P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)

\(P(X = k) = C(25, k) \times 0.89^k \times 0.11^{(25 - k)\)

\(P(X = 22) = C(25, 22) \times 0.89^{22} \times 0.11^3\)

\(P(X = 23) = C(25, 23) \times 0.89^{23} \times 0.11^2\)

\(P(X = 24) = C(25, 24) \times 0.89^{24} \times 0.11^1\)

\(P(X = 25) = C(25, 25) \times 0.89^{25} \times 0.11^0\)

Calculate the binomial coefficients, we can find:

P(X = 22) ≈ 0.0210

P(X = 23) ≈ 0.0038

P(X = 24) ≈ 0.0002

P(X = 25) ≈ 0.0000

Finally, summing up these probabilities:

P(X ≥ 22) ≈ 0.0210 + 0.0038 + 0.0002 + 0.0000

≈ 0.0250

Therefore, the probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.

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The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

Y = 2x - 9 is the correct answer.

Answer:

y = 2x - 9

Step-by-step explanation:

Прямые параллельны (или совпадают), если их угловые коэффициенты k равны. Напомню, линейные функции имеют вид y = kx + b

32/7 to a mixed number is 4 and 4/7

Answer:

36.3%
This would be the last choice

Step-by-step explanation:

The total number of customers = 74+38+52+40 = 204

Out of this number of customers, the highest number is for those who ordered double  cheeseburgers. This is the most preferred menu item.

This number is 74 from the table

Estimate of population probability  for most preferred item(double cheeseburger)

= 74/204 = 0.36274

As a percentage this would be  0.36274 x 100 = 36.274, which wnen rounded to one decimal point is 36.3%
This would be the last choice

Answer:

14. Three points tat are not collinear

Three points that are not colinear consist of a line and a third point, therefore, joining all three points form a flat figure having a length and a width which is a two-dimensional flat figure or a plane

15. A line and a point not lying on the line

Like the example above, the joining of the points results in a two dimensional figure having a length and a width also known as a planar surface

16. Two lines which intersect at a point

Given two lines that intersect at a point, joining the other end point of the two lines results in the forming of a flat figure, that can be described in two dimensions also known as a planar surface or plane

Step-by-step explanation:

A plane in mathematics is a flat surface that has only two dimensions and extends infinitely in all directions

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation:

Answer:

give me the points its c c c c c c cc c cc c c. c cc cccc c cc c cc

Answer:

B

Step-by-step explanation:

Answer:

cappppppppppp

Step-by-step explanation:

jp wyd homie

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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The probabilities are given as follows:

a) Both are even: 1/4.

b) One is even and one is odd: 1/2.

c) The same number is chosen twice: 1/40.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For the 40 numbers between 20 and 40, we have that:

Hence the probability of both even is given as follows:

p = 1/2 x 1/2 = 1/4.

The probability of one even and one odd is given as follows:

p = 2 x 1/2 x 1/2 = 2/4 = 1/2.

(multiplied by two as the order can be even/odd or odd/even).

For the second number, there are 40 options, only one of which is equals to the first, hence the probability that the same number is chosen twice is given as follows:

p = 1/40.

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The critical values for quick reference are given below:Confidence level Critical value A poli reported 38% support for 4 statewide elections with a margin of error of 4.45 percentage points.

The formula for the margin of error is given by:Margin of error = Critical value * Standard errorThe standard error is given by:Standard error = √(p * (1 - p)) / nWe know that the margin of error is 4.45 percentage points. Let's determine the critical value for a 90% confidence level.z* = 1.645We know that the point estimate is

p = 0.38, and we need to determine the minimum sample size n. Rearranging the formula, we get:

n = (z* / margin of error)² * p * (1 - p)Substituting the given values, we get:

n = (1.645 / 0.0445)² * 0.38 * 0.62n

= 348.48Rounding up to the nearest whole number, we get that at least 349 voters should be surveyed for a 90% confidence interval. Therefore, the correct option is B.

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The best method of solving  for -9x^2-12x+12=0 is the factor method.

This is so because it is easier

To solve quadratic equations, there are different methods.

These methods are known as;

From the information given, we have that;

-9x²-12x+12=0

Using the factor method, we have that;

Find the pair factor of the product of 9 and 12 that would add up to given - 12, we have;

-9x² - 18x + 6x + 12 = 0

Group in pairs, we get;

(-9x² - 18x) + (6x + 12) = 0

Factorize

-9x(x + 2) + 6(x + 2) = 0

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The method that is best for solving for 9x^2-12x+12=0 is Quadratic formula method. because we are going to get a comlex roots.

The quadratic formular can be written as;

x = -b ± √(b^2 - 4ac) / 2a

a = 3

b = -4

c = 4.

Then we can substitute as ;

x = -(-4) ± √(-4)^2 - 4(3)(4) /( 2*3)

x = 4 ±√(16 - 48) / 6

x = 4 ± √-32 / 6

x = 4 ± 4i√2 / 6

x = 2 ± 2i√2 / 3

x = 2 + 2i√2/3

x = 2 - 2i√2)/3

x=0.666667+0.942809i

x=0.666667−0.942809i

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Answer:

Step-by-step explanation:

r x 7 => 18

Answer:

751000

Step-by-step explanation:

\(751 \times (125 \times 2) \times 4\)

\(751 \times (250 \times 4)\)

\(751 \times 1000\)

\(751000\)

Answer:

I'm pretty sure its D

Step-by-step explanation:

Liza will pass Ralph after 5 hours, and they each will have traveled 325 miles. Then the correct option is D.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Ralph and Liza are both driving from Los Angeles to Santa Fe.

Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way.

Liza leaves at 7:25 and averages 65 mph on the way.

The situation is modeled by this system will travel:

y = 60x + 25

y = 65x

where x is the number of hours after Liza leaves and y is the distance each

The time after Liza leaves will she pass Ralph will be

65x = 60x + 25

 5x = 25

   x = 5 hours

Then the distance covered by both after 5 hours will be

y = 65 (5)

y = 325 miles

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The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.

The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.

The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.

Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.

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Answer: 12

Step-by-step explanation: Use the quadratic equation to solve the equation.

a = 1

b = -8

c = 12

Answer:

x=6 is the answer

Step-by-step explanation:

x squared -8 x +12=0

6 squared=36

36-8x +12=0

x= 6 so 8*6 =48

36-48+12=0

36-48= -12

-12+12=0

hope this helps

The new water level is a decrease of 1.09 cm compared to the original water level.

The water levels are compared using subtraction and addition operations.

The changes in the water level each week are given as follows:

Hence the total change is given as follows:

-1.9 + 3.67 - 2.86 = -1.09.

Meaning that the new water level is a decrease of 1.09 cm compared to the original water level.

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The missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

The missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

We can use trigonometric ratios to solve for the unknown sides of the given right-angled triangle.

Let's start by identifying the trigonometric ratio that involves the sides we know and the unknown side we need to find. Since we know the hypotenuse and the opposite side, we can use the sine ratio, which is defined as:

sin(θ) = Opposite/Hypotenuse

Substituting the known values, we get:

sin(45) = b/4

We can solve for b by isolating it on one side of the equation:

b = 4 sin(45)

Using the fact that sin(45) = 1/√2, we can simplify the expression for b:

b = 4/√2

To simplify this further, we can multiply both the numerator and denominator by √2:

b = 4√2/2

Simplifying the fraction, we get:

b = 2√2

Now, let's use the cosine ratio to solve for the adjacent side a. The cosine ratio is defined as:

cos(θ) = Adjacent/Hypotenuse

Substituting the known values, we get:

cos(45) = a/4

We can solve for a by isolating it on one side of the equation:

a = 4 cos(45)

Using the fact that cos(45) = 1/√2, we can simplify the expression for a:

a = 4/√2

Multiplying both the numerator and denominator by √2, we get:

a = 4√2/2

Simplifying the fraction, we get:

a = 2√2

Therefore, the missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

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A higher percentage of people who did not wear wrist guards (41.67%) experienced wrist injuries compared to those who did wear wrist guards (11.32%).

Based on the information provided, we can analyze the data on injuries to in-line skaters. Let's break down the given numbers:

Total number of people interviewed: 161

Number of people wearing wrist guards: 53

Number of people wearing wrist guards with wrist injuries: 6

Number of people not wearing wrist guards: 108

Number of people not wearing wrist guards with wrist injuries: 45

From this information, we can calculate the following:

Percentage of people wearing wrist guards with wrist injuries:

(Number of people wearing wrist guards with wrist injuries / Number of people wearing wrist guards) × 100

= (6 / 53)× 100 ≈ 11.32%

Percentage of people not wearing wrist guards with wrist injuries:

(Number of people not wearing wrist guards with wrist injuries / Number of people not wearing wrist guards)×100

= (45 / 108) ×100 ≈ 41.67%

These calculations provide insights into the likelihood of wrist injuries in relation to wearing wrist guards while inline skating. The data suggests that the percentage of wrist injuries among those wearing wrist guards is lower (11.32%) compared to those not wearing wrist guards (41.67%). This indicates that wearing wrist guards may offer some protection against wrist injuries while inline skating.

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The equivalent ratios are given as follows:

Hence the coordinates are given as follows:

As the constant of the proportional relationship is of 3, starting from the origin, the points are plotted always moving one unit right (x) and three units up (y).

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Then the constant is obtained as follows:

k = y/x.

For this problem, the constant is given as follows:

k = 21/7 = 24/8 = 27/9 = 3.

(representing the equivalent ratios).

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