In this triangle, what is the value of x?

Answer:

y = 2x + 1

1. Find the slope;  (change in y values)/(change in x values)

Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using  the slope intercept formula: y = mx + b

   m = 2 and using point (1, 3) , solve for "b"

      y = mx + b

      3 = 2(1) + b

      3 = 2 + b

     1 = b

3.  Write the linear equation: y = 2x + 1

Step-by-step explanation:

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

Answer:

B

Step-by-step explanation:

The second one is correct. If you square 1.5 and 2 and 2.5 and use pythagorean theorem, then you will get the two sides to equal each other, this concluding it to be true

Answer:

I u⁣ploaded t⁣he a⁣nswer t⁣o a f⁣ile h⁣osting. H⁣ere's l⁣ink:

Step-by-step explanation:

In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.

This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.

The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.

In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.

Learn more about factors here;

https://brainly.com/question/29128446

#SPJ11

━━━━━━━☆☆━━━━━━━

▹ Answer

60% of 100 is 60

▹ Step-by-Step Explanation

60% of 100:

- You can write this as a fraction or decimal. In this case, both of them will work just fine but we can go with fractions.

60% is written as 6/10 as a fraction or 0.6 as a decimal.

\(\frac{6}{10} * 100\\ =\frac{600}{10} \\= 60\)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

60%out of 100 is 40%

Step-by-step explanation:

100-60

The complex number can be written in polar form as 2 + ((2+m) + 3i) = √(m² + 6m + 25)∠tan⁻¹(3/(2+m)).

What is complex number?

A complex number is obtained by adding real and imaginary numbers. Complex numbers have the formula a + ib and are usually symbolized by the symbol z. Here the numbers a and real are both. The value "a" is known as the real component and is denoted Re(z), while "b" is known as the imaginary part and is denoted Im(z). Also known as imaginary number, ib. Hero of Alexandria, a Greek mathematician, first used the idea of complex numbers in the first century when he tried to calculate the square root of a negative integer.

a. A complex number is a number that consists of a real part and an imaginary part, where the imaginary part is the real number multiplied by the imaginary unit "i", defined as the square root of -1. The modulus of a complex number is the distance between the starting point and the point representing the complex number on the complex plane. This can be calculated using the Pythagorean theorem. For example, the real part of the complex number z = 3 + 4i is 3 and the imaginary part is 4, and its modulus is √(3²+4²)=5.

b. Let z = a + bi be a complex number, where a and b are real numbers. The modulus of z is defined as |z| = √(a² + b²). Therefore, for the complex number z = 1 + 2i, the modulus is |z| = √(1² + 2²) = √5.

c. To write the complex number 2 = ((2+ m) + 3i) in polar form, we need to find the modulus and argument of the complex number. The modulus is |2 + ((2+m) + 3i)| = |4 + mi + 3i| = √(4² + (m+3)²) = √(m² + 6m + 25). The argument is given by tan⁻¹(Im/Re) = tan⁻¹(3/(2+m)), which gives us the angle that the complex number makes with the positive real axis. Therefore, the complex number can be written in polar form as 2 + ((2+m) + 3i) = √(m² + 6m + 25)∠tan⁻¹(3/(2+m)).

Learn more about complex number, by the following link

https://brainly.com/question/10662770

#SPJ4

Answer: 20 2/5

Step-by-step explanation: 60/100=x/34

100x/100=2040/100

x=102/5=20 2/5

The perimeter of the frame for a rectangular picture with the given dimensions and a frame that is x + 1 inches wide is 2(L + W + 4x + 4).

In order to find the perimeter of the frame for a rectangular picture with the given dimensions, we must first identify the formula for perimeter. Perimeter is the total distance around the outside of a shape, and for a rectangle,

it can be calculated as follows:

Perimeter of a Rectangle = 2(length + width)In this case, the frame will be x + 1 inches wide.

Therefore, we can add this to the length and width of the picture to get the dimensions of the entire frame. Let's call the length of the picture "L" and the width of the picture "W".

Then, the dimensions of the frame will be (L + 2(x + 1)) by (W + 2(x + 1)).To find the perimeter of the frame,

we can plug these dimensions into the formula for perimeter of a rectangle:

Perimeter of the Frame = 2(L + 2(x + 1) + W + 2(x + 1))

Simplifying this expression by combining like terms gives:Perimeter of the Frame = 2(L + W + 4x + 4)

To learn more about : perimeter

https://brainly.com/question/19819849

#SPJ8

The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

Visit here to learn more about Circle:

brainly.com/question/29788136

#SPJ11

The area of the plane figure is,

⇒ Area = 263.24 m²

We have to given that;

A trapezoid is shown in figure.

Now, We have to given that;

Upper base = 11.8 cm

Height = 16.1 m

Hence, By Pythagoras theorem, we get;

In side triangle,

⇒ Length of base = √18.5² - 16.1²

⇒ Length of base = √342.3 - 259.2

⇒ Length of base = √83.09

⇒ Length of base = 9.1

Hence, Lower base of trapezoid is,

⇒ (11.8 + 9.1)

⇒ 20.9

So, Area of trapezoid is,

⇒ A = (11.8 + 20.9) × 16.1 / 2

⇒ A = 526.47 / 2

⇒ A = 263.24 m²

Learn more about area visit:

https://brainly.com/question/16519513

#SPJ1

The 34 m of wire that is needed to support the two wires is the overall length.

Given, a tower that is 35 m tall and is to have to support two wires. Both the wires will be attached to the top of the tower and it will be attached to the ground 12 m from the base of each wire. Wires in the show 5 m to complete each attachment. We need to find how much wire is needed to make support the two wires.

Distance of ground from the tower = 12 lengths of wire used for attachment of wire = 5 mWire required to attach the wire to the top of the tower and to ground = 5 + 12 = 17 m

Wire required for both the wires = 2 × 17 = 34 m length of the tower = 35 therefore, the total length of wire required to make the support of the two wires is 34 m.

What we are given?

We are given the height of the tower and are asked to find the total length of wire required to make support the two wires.

What is the formula?

Wire required to attach the wire to the top of the tower and to ground = 5 + 12 = 17 mWire required for both the wires = 2 × 17 = 34 m

What is the solution?

The total length of wire required to make support the two wires is 34 m.

For more questions on length

https://brainly.com/question/28322552

#SPJ8

Answer:

b = 4, b = 6

Step-by-step explanation:

consider the left side

x² + 10x + 24

consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)

the factors are + 4 and + 6

then

x² + 10x + 24 = (x + 4)(x + 6) = (x + 6)(x + 4)

then (x + b) = (x + 4) or (x + 6)

with b = 4 or b = 6

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Learn more about Express

brainly.com/question/28172855

#SPJ11

Using arithmetic sequence the sum of the first 90 positive even integers is 8190.

To find the sum of the first 90 positive even integers, we can use the formula for the sum of an arithmetic sequence:

S = (n/2)(a + l)

where S is the sum of the sequence, n is the number of terms, a is the first term, and l is the last term.

In this case, we know that:

n = 90 (because we want the sum of the first 90 positive even integers)

a = 2 (because the first positive even integer is 2)

l = 2n = 2(90) = 180 (because the last positive even integer is twice the value of the last positive odd integer, which is 2n-1)

Substituting these values into the formula, we get:

S = (90/2)(2 + 180)

S = 45(182)

S = 8190

Therefore, the sum of the first 90 positive even integers is 8190.

To learn more about arithmetic sequence from given link

https://brainly.com/question/6561461

#SPJ1

a)

Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is right tailed. And null hypothesis can include equality. Further mu is not a statistics,

So option a) i.e these data comply with our rules, is correct and all other are incorrect.

b)

Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left  tailed. And null hypothesis can include equality. Further sigma is not a statistics,

So option d) is correct and all other are incorrect.

C)

Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left  tailed. And null hypothesis can include equality. Further p is not a statistics,

So option (b) is correct and all other are incorrect.

d)

Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left  tailed. And null hypothesis can include equality. Further mu1 and mu2  is not a statistics,

So option a) i.e these data comply with our rules, is correct and all other are incorrect.

e)

Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left  tailed. And null hypothesis can include equality. Further sigma is not a statistics,

So option (c) correct and all other are incorrect.

f)

Since alternative hypothesis can be of either right tailed or left tailed or a simple hypothesis. Here alternative hypothesis is a simple  hypothesis  And null hypothesis can include equality. Further mu is not a statistics,

So option a) i.e these data comply with our rules, is correct and all other are incorrect.

g)

Since alternative hypothesis can be of either right tailed or left tailed or two tailed. Here alternative hypothesis is two  tailed. And null hypothesis can include equality. Further sigma1 and sigma 2 is not a statistics,

So option a) i.e these data comply with our rules, is correct and all other are incorrect.

h)

Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left  tailed. And null hypothesis can include equality. Further p is not a statistics, and asseter value of H0 should not appear in asserted value in Ha.

To know more about statistics check the below link:

https://brainly.com/question/14724376

#SPJ4

The situation in which it is safe to employ t-procedures is described by option (c) where both samples are approximately normal.

option (c) is identified as the situation where it is safe to use t-procedures.

t-procedures are appropriate when certain assumptions are met, including the assumption of normality of the population or sample distributions. Option (c) states that both samples are approximately normal, which fulfills this requirement. This means that the data in both samples have a symmetric bell-shaped distribution, allowing t-procedures to be used for hypothesis testing or confidence interval estimation.

Options (a), (b), and (d) describe scenarios where either one or both samples are moderately skewed or contain outliers, which violates the assumption of normality. Skewness and outliers can impact the validity of t-procedures, making them less reliable. Therefore, these options do not fulfill the requirement for safely employing t-procedures.

Option (e) states that it is safe to use t-procedures in more than one of the situations above. However, based on the analysis provided, only option (c) meets the criteria of having both samples approximately normal, making it the only situation where t-procedures can be safely employed.

Learn more about assumption of normality here:

https://brainly.com/question/30932454

#SPJ11

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

The volume of a rectangular box is 109.86 cubic centimeters. The prism's breadth is 13.2 cm. The prism stands 4.1 cm tall.

The length of the rectangular prism is given as,

109.86 = L x 13.2 x 4.1

109.86 = 54.12L

L = 109.86 / 54.12

L = 2.03 cm

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ1

Step-by-step explanation: See attached step by step

Answer:

Step-by-step explanation:

Ok

Answer:

what

Step-by-step explanation:

:(

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

Answer:

\(d = \sqrt{109}\)

Step-by-step explanation:

Use the distance formula.

\(\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Your points are (-4, 11) and (6, 8).

\(d = \sqrt{(-4 - 6)^2 + (11 - 8)^2}\\\\d = \sqrt{(-10)^2 + (3)^2}\\\\d = \sqrt{100 + 9}\\\\d = \sqrt{109}\)

Answer:

π =14 cm

Step-by-step explanation:

Given:

circumference of a circle =616 cm

pie(π)=22/7

circumference of a circle=πr^2

616=22/7 *r^2

616*7/22 =r^2

4312/22 =r^2

196=r^2

\(\sqrt{196}\) =r

14 =r

Since the number of floors must be a whole number, Cersei can build a maximum of 26 floors on the given lot while adhering to the FAR limit of 20.

To determine the number of floors Cersei can build on the given lot, we need to consider the Floor Area Ratio (FAR) limit imposed by the Council. FAR is the ratio of the total floor area of a building to the area of the lot it is built on. In this case, the FAR limit is set at 20, which means the total floor area cannot exceed 20 times the area of the lot.

The area of the lot is the product of its depth and width:

Area of the lot = Depth * Width

= 325 ft * 325 ft

= 105,625 sq ft

Since the FAR is capped at 20, the maximum total floor area allowed on the lot is:

Maximum Total Floor Area = FAR * Area of the lot

= 20 * 105,625 sq ft

= 2,112,500 sq ft

Given that each floor of Cersei's building has an area of 80,000 sq ft, we can determine the maximum number of floors as follows:

Number of Floors = Maximum Total Floor Area / Area per Floor

Number of Floors = 2,112,500 sq ft / 80,000 sq ft

Number of Floors ≈ 26.41

To know more about number,

https://brainly.com/question/29125085

#SPJ11

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

Learn more about price here: brainly.com/question/29023044

#SPJ4

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

For such more questions on optimal solution

https://brainly.com/question/31025731

#SPJ8

The mass of the earth is, 5.97 x 10^24 kg.

What is mass of the earth?

Only one astronomical object—Earth, which is third from the Sun—is known to support life. Although the Solar System contains enormous amounts of water, only Earth is home to liquid surface water. The oceans cover around 71% of Earth's surface, dwarfing its lakes, rivers, and polar ice.

The mass of the Earth is 5.9736 x 1024 kg. Let's write that out in full as it's a big number: 5,973,600,000,000,000,000,000,000 kg.

Scientists calculate Earth's weight using mathematics and the principles of gravity since Earth is too massive to be placed on a scale.

To know more about the mass of earth, click on the link

https://brainly.com/question/25938309

#SPJ1