helpp please!
Which equation verifies that the value of x in the diagram is equal to 10?

Step-by-step explanation:

He pays a monthly fee of $35 plus $.50 per minute. J

Answer:

No solution

Step-by-step explanation:

Answer:

x=7;x=1

the equation has no solution

Answer:

5y + 25

Step-by-step explanation:

You simply multiple everything inside by the outside

y x 5

5 x 5

giving you 5y + 25

Answer: vertical line.

Step-by-step explanation:

Ok we can define a function f(x) as "something" that maps a given input (we usually call the input "x") into a given output (we usually call the output "y")

We have one rule for functions, each input can be mapped into only one output.

So if for example, for a given value x = A.

f(A) = B

and

f(A) = C

This is mapping the input A into two different outputs, then this is not a function.

Now to the question.

If we have a vertical line (parallel to the y-axis)

This line will have only one value of x associated with it, but all the values of y.

This means that this maps one value of the input into infinite outputs, then this can not be a function.

The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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For a rectangle where length of its is five less than the width length, the expression for the area of rectangle is equals to the w(w - 5). So, the option(b) or second is right answer.

Area is defined as the surface covered by the specific shape. The area of a rectangle is calculated by multiplication of length of the rectangle by the width of the rectangle. We have some information regarding the rectangle. Let the Area, length and width of a rectangle shape be 'A', 'l' and 'w'. Now, length of rectangle is 5 less than the width w. So, the expression is written as, l = w - 5 --(1)

Using the formula of area of rectangle, A = length × width

=> A = l× w

Substitute the value of 'l' from equation (1), A = ( w - 5) × w

= w² - 5w

= w( w - 5)

Hence, required expression is w(w -5).

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Complete question:

The attached figure complete the question.

Answer:

a. y=7x or n=7t

b. 42

c. 19 years

d. The answer to that would be that the equation represent an average American uses 7 trees every single year.

Decision Analysis is a mathematical method for making decisions in uncertain environment.

What is environment ?

Environment refers to the surrounding conditions, resources and factors that can have an impact on an organism, community, or system. This can include physical factors such as weather, terrain, and pollution, as well as biological factors such as other living organisms, and social or economic factors such as culture, laws and economic conditions.

The process of Decision Analysis can be broken down into several steps:

1) Define the decision problem: Clearly state the problem and the decision maker's objectives.

2) Identify the decision alternatives: List all the feasible options available to the decision maker.

3) Specify the probability distribution of the uncertain parameters: Assign probabilities to the possible outcomes of the uncertain parameters.

4) Evaluate the expected value or expected loss for each alternative: Compute the expected value or expected loss for each alternative, using the probability distribution of the uncertain parameters.

5) Choose the alternative with the highest expected value or the lowest expected loss: Select the alternative that maximizes the expected value or minimizes the expected loss.

6) Sensitivity analysis: Check the robustness of the decision by studying the effect of small changes in the model's assumptions.

Decision Analysis is a mathematical method for making decisions in uncertain environment.

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Answer:

.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

.59

Answer:

After the decimal they repeat in a pattern of 142857

Step-by-step explanation:

So just repeat until you hit the 21st digit

Answer:

-1 / 2.

Step-by-step explanation:

The Slope of a line when given two points:

First establish the two points as (X1, Y1) and (X2,Y2)

you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order

So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)

Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)

Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**

Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.

Answer:

-1/2

Step-by-step explanation:

The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

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The value of integer k is -5.

Polynomial equations formed with variables, exponents and coefficients .

Since the polynomial has three integer roots, we can express it as:

(x - r1)(x - r2)(x - r3) = 0

where r1, r2, and r3 are the three integer roots.

Expanding the left-hand side, we get:

x^3 - (r1 + r2 + r3)x^2 + (r1r2 + r1r3 + r2r3)x - r1r2r3 = 0

Comparing this with the given polynomial, we see that:

r1 + r2 + r3 = 1

r1r2 + r1r3 + r2r3 = k

r1r2r3 = 3

First we need to find the value of k. From the first equation, we see that one of the roots must be 1, since the sum of three integers that are not 1 cannot be 1. Without loss of generality, assume that r1 = 1. Then we have:

r2 + r3 = 0

r2r3 = 3

Since the roots are integers, the only possibility is r2 = -3 and r3 = 1.

Therefore, we have:

k = r1r2 + r1r3 + r2r3 = 1(-3) + 1(1) + (-3)(1) = -5

Therefore, the value of integer k is -5.

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The p-value is found to be 0.0006 by using the f-ratio.

Given that ,

SST = 10, 800 , SSTR = 4560

Sum of Square error SSE = SST- SSTR = 10800- 4560

SSE = 6240

df for treatment K= 1, where K are the level of treatment and given that K=3.

df treatment = k-1 = 3 - 1 = 2.

df error = n-k = 30- 3=27.

df total = n- 1 = 30 - 1= 29 .

Mean Square for treatment = SSTR / If treatment

=4560/ 2 = 2280

MSTR = 2280

MSE = SSE/ df error = 6240/27 = 231.11

F-ratio = MSTR/ MSE = 2280 / 231.11

= 9.8654 -=9.87 ( rounded to 2 decimal )

F ratio = 9.87

By using F-table the value of P-value in

F = 9.87 , and df1 = 2, df2=27 , with Significance level =0.05 , then the value is

P-value = 0.0006 .

Therefore, The p-value is 0.0006

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To fit the solution to the given data, we can use the general form of the solution:

l(t) = a * e^(kt) + c

where:

l(t) is the value at time t,

a, k, and c are constants to be determined.

Given the data points:

l(0) = 3 and l(1) = 7,

We can substitute these values into the equation to get two equations:

Equation 1: l(0) = a * e^(k * 0) + c = a + c = 3

Equation 2: l(1) = a * e^(k * 1) + c = a * e^k + c = 7

We also have an additional piece of information:

l(t) = 20.

Substituting this into the equation, we get:

20 = a * e^(kt) + c

Now, we have three equations:

Equation 1: a + c = 3

Equation 2: a * e^k + c = 7

Equation 3: a * e^(kt) + c = 20

To solve for the constants a, k, and c, we need to solve this system of equations. However, without additional information or constraints, it is not possible to uniquely determine the values of a, k, and c. Additional data or constraints are needed to find the specific values of the constants that fit the given solution.

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To find the values for the constants a, k, and c that fit the solution to the given data, we can use the general form of the solution function l(t) = ae^(kt) + c.

Given data points:

l(0) = 3

l(1) = 7

Using the first data point, l(0) = 3, we substitute t = 0 into the solution function:

3 = ae^(0) + c

3 = a + c          (equation 1)

Using the second data point, l(1) = 7, we substitute t = 1 into the solution function:

7 = ae^(k*1) + c

7 = ae^k + c      (equation 2)

Now we have a system of two equations (equation 1 and equation 2) with two unknowns (a and c). We can solve this system of equations to find the values for a and c.

Subtracting equation 1 from equation 2, we get:

7 - 3 = ae^k + c - (a + c)

4 = ae^k - a

Factoring out a:

4 = a(e^k - 1)

Now we can solve for a:

a = 4 / (e^k - 1)      (equation 3)

Substituting the value of a from equation 3 into equation 1, we can solve for c:

3 = (4 / (e^k - 1)) + c

c = 3 - (4 / (e^k - 1))

Therefore, the values for the constants a and c that fit the given data are given by:

a = 4 / (e^k - 1)

c = 3 - (4 / (e^k - 1))

To find the value for the constant k, we need additional data or information. Without more data, we cannot determine the exact value of k.

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Answer:

The interest is $5.80

Step-by-step explanation:

Here, we want to

calculate the interest on $580 for 6 months at a rate of 2%

Mathematically, we use the formula;

I = PRT/100

As T is not up to a year, we did use by 12 which is 6/12 = 0.5

P = 580

R = 2%

Substituting these values in the interest formula, we have;

I = (580 * 2 * 0.5)/100 = $5.80

Complete question :

Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot wide, and 2 3 foot tall. Find the number of block letters that will fit in the box.

Answer:

1/2

Step-by-step explanation:

Number of block letters that will fit in :

Volume of box ÷ volume of each letter cube

Volume of each letter cube = (side length)³ = (2/3)³ = 8/27 ft³

Volume of box = length * width * height

Volume of box = 1 1/3 * 2/3 * 2/3

Volume of box = 4/3 * 2/3 * 2/3 = 16 / 27 ft³

Therefore ;

8/27 ÷ 16/27

8/27 * 27/16

= 8/16

= 1/2

Answer:

And line passes through the point (-6,5). we get y=mx+b => 5 = -4(-6)+b => b = 5-24 => b=-19.

Step-by-step explanation:

The equation of the line that passes through the given point is y=6/5 x + 2.

Given that, the line that passes through the point (5, -2) and has a slope of 6/5.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Put m=6/5 and (5, -2) in y=mx+c, that is

-2 = 6/5 × (-2) + c

⇒ -2 = -12/5 + c

⇒ -10 = -12 + c

⇒ c = 2

Put m=6/5 and c=2 in y=mx+c, we get

y=6/5 x + 2

Therefore, the equation of the line that passes through the given point is y=6/5 x + 2.

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Answer:

5

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1  and  0  is 1

1 |-5|

Multiply  | − 5 |  by 1

The absolute value is the distance between a number and zero. The distance between  − 5  and  0 is  5

Hope this can help

The equation of the given parabola is: y = (x - 4)² + 2

The equation of the given parabola graphed below, which is concave up and has a vertex located at coordinates (4, 2), can be determined using the standard form of the equation of a parabola. The equation of the given parabola with a vertex at (4, 2) can be found using the standard form of the equation of a parabola.

The standard form of the equation of a parabola is y = a(x - h)² + k, where (h, k) is the vertex and a is the constant determined by the focus and directrix of the parabola

Since the given parabola is concave up and has a vertex located at (4, 2), we know that the equation of the parabola must be of the form: y = a(x - 4)² + 2The value of a is determined by the distance between the vertex and focus of the parabola. Since the parabola is concave up, the focus is located above the vertex and the directrix is located below the vertex, both equidistant from the vertex.

The distance from the vertex to the focus is equal to a, and the distance from the vertex to the directrix is also equal to a. Since the vertex is located at (4, 2), the focus is located at (4, 2 + a), and the directrix is located at y = 2 - a. The distance between the vertex and focus is given by the formula:

d = |y-coordinate of focus - y-coordinate of vertex|

d = |(2 + a) - 2| = |a|

Similarly, the distance between the vertex and directrix is given by:

d = |y-coordinate of directrix - y-coordinate of vertex|

d = |2 - a - 2| = |-a|

Since the distances are equal, we can equate them:

|a| = |-a|
a = ± a

However, we know that a must be positive since the parabola is concave up. Therefore, a = |a|, and we can write:

a = 2 + a - 2
a = a²
a² - a = 0
a(a - 1) = 0

Thus, a = 0 or a = 1. Since a cannot be equal to 0, we have a = 1. Therefore, the equation of the given parabola is:

y = (x - 4)² + 2

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a) The given statement " probability distribution legitimate" is true. Because the sum of all probabilities is equal to 1, and are non-negative. b) Probability is equal to 0.017

c) Probability is 0.99

d) Mean of X is 0.212.

e) Variance of X is 0.3614 and Standard deviation of X is 0.601

f) probability that the facility needs to recalibrate their machines is 0.075 g) Mean of Y is -9.576.

h) Variance of Y is 1.446

i) Mean of W is 1.939.

j) probability that each of the 3 cabinets has fewer than three defects 0.970299.

Yes, the probability distribution is legitimate since the sum of all probabilities is equal to 1, and all probabilities are non-negative.

Probability that there are three defects in the cabinet P(X=3) = 0.017

The probability that there are at most three defects in the cabine P(X ≤ 3) = P(X=0) + P(X=1) + P(X=2) + P(X=3) = 0.99

Mean of X = E(X) = Σ [xi * P(X=xi)] = 0(0.9) + 1(0.05) + 2(0.025) + 3(0.017) + 4(0.001) + 5(0.007) = 0.212

Variance of X = Var(X) = Σ [(xi - E(X))^2 * P(X=xi)] = 0.3614, Standard deviation of X = σ(X) = sqrt(Var(X)) = 0.601

If the number of defects found is more than one standard deviation above the mean, the manufacturing facility needs to recalibrate their machines. The probability that the facility needs to recalibrate their machines P(X > E(X) + σ(X)) = P(X > 0.812) = P(X ≥ 1) = 0.075.

Mean of Y = E(Y) = E(2X - 10) = 2E(X) - 10 = 2(0.212) - 10 = -9.576

Variance of Y = Var(Y) = Var(2X - 10) = 4Var(X) = 1.446

Mean of W = E(W) = E(X^2 - 1) = E(X^2) - 1 = (0^2)(0.9) + (1^2)(0.05) + (2^2)(0.025) + (3^2)(0.017) + (4^2)(0.001) + (5^2)(0.007) - 1 = 1.939

If 3 cabinets are selected at random. The probability that each of the 3 cabinets has fewer than three defects P(X<3)^3 = 0.99^3 = 0.970299.

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Answer:

The lines are parallel, this is because they both have the same slope/gradient of 6.

Answer:

parallel lines

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 3 ← is in slope- intercept form

with slope m = 6

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

• Parallel lines have equal slopes

then the 2 given lines are parallel

I have 12 dollars and i wanna buy candies with them. 1 candy is 2/3 dollars, how many candies i can buy?

Answer: 18 candies

Answer:

x ≥ 3

Step-by-step explanation:

Answer:

6.27 x 10 ^ 8

Step-by-step explanation:

Answer:

for the tringle:

area=\(p^{2} -2p-3\)

for the frame:

area=\(8x+28\)

Step-by-step explanation:

For the tringle:-

Area=1/2bh

Area=1/2(2p-6)(p+1)

Area=1/2(\(2p^{2} -4p-6\))

Area=\(p^{2} -2p-3\)

For the picture frame:-

part 1:the area of the big frame

Area=lw

Area=(x+7)(x+4)

Area=\(x^{2} +11x+28\)

part 2:the area of the small frame

Area=lw

Area=(x+3)(x)

Area=\(x^{2} +3x\)

To find the area of the shaded regions:

Area of shaded region=area of the big frame-the area of the small frame

Area of shaded region=\((x^{2} +11x+28)-(x^{2} +3x)\)

Area of shaded region=\(8x+28\)

Answer:

\(x = - \frac{3}{2} \)

Step-by-step explanation:

-4x+7=15-2

subtract number 15-2

-4x+7=13

-4x=13-7

-4x=6

divide

x=-3 over 2

Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A