Name an angle or angle pair that satisfies the condition.


an angle complementary to ∠FDG

Answer:

  (a)  (3, -1)

Step-by-step explanation:

You want the graphical solution to the system ...

A graphing calculator plots these equations easily, and will give you the coordinates of the point where the lines intersect. That point is the solution to the system of equations:

  (x, y) = (3, -1)

__

Additional comment

Here, the offered choices are the y-intercepts (clearly wrong), and points in the first and fourth quadrants. You can choose the correct point by thinking about the x-intercepts.

The line with positive slope has an x-intercept of 7/2 = 3.5. For positive x-values less than this, the line is in the 4th quadrant.

The line with negative slope has an x-intercept of -8/-3 ≈ 2.7. For positive x-values greater than this, the line will be in the 4th quadrant.

The point of intersection must be in the 4th quadrant with an x-value between 2.7 and 3.5. Only one answer choice is like this: (3, -1).

The binary expanded form of 19 is 1×2⁴ + 0×2³ + 0×2² +1×2¹ + 1×2⁰

To convert 19 to binary expanded form, we need to convert 19 into a base two number by dividing 19 by 2 and taking into the reminder. Thus:

Dividend   Remainder

19/2 = 9          1      ∧

9/2 = 4           1       |

4/2 = 2          0       |

2/2 = 1           0       |

1/2 = 0            1       |

Then we will write the remainder from bottom to top following the direction of the arrow. Thus, 19 in base 2 is:

19₁₀ = 10011₂

To write binary expanded form, multiply the binary number obtained by 2 and raise them to a power starting from 0 by counting from the right. That is:

19₁₀ = 1×2⁴ + 0×2³ + 0×2² +1×2¹ + 1×2⁰

Therefore, 19 in binary expanded form is 1×2⁴ + 0×2³ + 0×2² +1×2¹ + 1×2⁰

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Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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Therefore, we can say with 95% confidence interval that the true difference in mean body temperatures between men and women is between -1.144 and -0.056 degrees Fahrenheit.

a) Hypothesis test setup:

Let μ1 be the population mean body temperature of men and μ2 be the population mean body temperature of women.

Null hypothesis: H0: μ1 = μ2 (The mean body temperature is the same for men and women)

Alternative hypothesis: Ha: μ1 ≠ μ2 (The mean body temperature differs for men and women)

We will use a two-sample t-test for independent samples to test this hypothesis.

b) The exact p-value for the two-sample t-test with the given data is 0.0117. This p-value indicates that if the null hypothesis were true, the probability of obtaining a sample as extreme as the observed sample (or more extreme) is 0.0117. Since this p-value is less than the commonly used significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that mean body temperatures differ for men and women.

c) To construct a 95% confidence interval for the difference in population means (μ1 - μ2), we can use the following formula:

CI = (x1 - x2) ± tα/2,ν * SE

where x1 and x2 are the sample means for men and women, tα/2,ν is the t-value for the desired confidence level and degrees of freedom (df), and SE is the standard error of the difference in sample means.

Using the given data, we have:

x1 = 97.5, x2 = 98.4

s1 = 0.35, s2 = 0.366

n1 = 8, n2 = 9

df = n1 + n2 - 2 = 15

t0.025,15 = 2.131 (from t-distribution table)

SE = sqrt(s1^2/n1 + s2^2/n2) = 0.126

CI = (97.5 - 98.4) ± 2.131 * 0.126

CI = (-1.144, -0.056)

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The probability that the two chords chosen randomly will intersect is 1/3

The line segment connecting two points on the circle that are randomly (and with uniform probability) chosen is known as a "random chord" in this scenario.

From a straightforward counting argument, it is possible to deduce the likelihood that two random chords will intersect.

Let's say you randomly choose four locations on the circle. Identify the points as p1, p2, p3, and p4 based on their polar angles.

The following diagram shows three different ways the points can be placed on the circle.

Due to the fact that only one of the three potential configurations is conceivable, the likelihood that two random chords will meet is 1/3.

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they are 3 colors so the chance of getting blue is 1/3

then, they are 3 sizes so the chance to get a small shirt is 1/3 as well.

to find the chance of pulling a small blue shirt, you just multiply those, which gives you 1/9

Answer:

q > -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Translate

q - 4 > -16

Step 2: Solve for q

Here we see that any number q greater than -12 would work as a solution to the inequality.

Answer:

nothing

Step-by-step explanation:

We need at least 5 tosses to be certain that the probability of getting at least one 6 is greater than or equal to 1/2.

The probability of not getting a 6 on a solitary throw of a fair six-sided kick the bucket is 5/6. Subsequently, the probability of not getting a 6 on n throws is \((5/6)^n\). The probability of getting somewhere around one 6 in n throws is 1 - \((5/6)^n\).

To view the quantity of throws expected as sure that the probability of getting somewhere around one 6 is more prominent than or equivalent to 1/2, we can set the probability equivalent to 1/2 and address for n:

1 - \((5/6)^n\) = 1/2

\((5/6)^n\) = 1/2

Taking the normal logarithm of the two sides, we get:

n ln(5/6) = ln(1/2)

n = ln(1/2)/ln(5/6) ≈ 4.807

Hence, we really want something like 5 throws to be sure that the probability of getting no less than one 6 is more prominent than or equivalent to 1/2.

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Answer:

Yes i do the answer is C

Step-by-step explanation:

Have a good day:))))

Answer:

304.8mm

Step-by-step explanation:

25.4×12=304.8

Answer:

Given that there are approximately 25.4 millimeters in 1 inch.

The length of the ruler = 25.4 × 12 = 304.8 mm

Hence, the length of the ruler is approximately 304.8 millimeters.

Step-by-step explanation:

I hope it helps:)

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

Answer:

Area of Gray Triangle:  66m^2

Area of White Triangle: 30m^2

Area of Larger Triangle: 96m^2

Step-by-step explanation:

For this problem, we will find the area of the gray triangle by first finding the area of the larger triangle and subtract the area of the white triangle.

First note that the general formula for the area of a triangle is:

Area = ( 1 / 2 ) * Base * Height

Using this formula, we can find the area of the larger triangle and the area of the white triangle.

Area of Larger Triangle:

Base = 5m + 11m = 16m

Height = 12m

Area = ( 1 / 2 ) * 16m * 12m = 8m * 12m = 96m^2

Area of White Triangle:

Base = 5m

Height = 12m

Area = ( 1 / 2 ) * 5m * 12m = 5m * 6m = 30m^2

Now that we have the areas of the Larger triangle and the white triangle, we can find the area of the gray triangle by subtracting the area of the white triangle from the larger triangle:

Area of Gray Triangle:

Area = Area_Of_Larger_Triangle - Area_Of_White_Triangle

Area = 96m - 30m = 66m^2

Now we have the areas of all three triangles depicted.

Cheers.

Answer:

Y = 4x + 1

Step-by-step explanation:

1 × 4 + 1 = 5

2 × 4 + 1 = 9

3 × 4 + 1 = 13

4 × 4 + 1 = 17

Answer:

13 is the answer for this

Step-by-step explanation:

23+-10 equals 13

Answer:

84[hope this helps!]

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

.8×100=80

4+80=84

q=84

Answer:

18

Step-by-step explanation:

I am assuming you meant 8r-rs, in this case:

Plug in r=6 and s=5:

8(6)-(6)(5)

8*6 = 48 and -6*5= -30

Thus,

48-30= 18

Answer  78

Step-by-step explanation:

Answer:

he could have five 20 bills at most

Answer:

5

Step-by-step explanation:

You subtract 14 one dollar bills from the unnamed 19 bills to get 5 remaining bills and $100 left in the wallet.

100÷5 = 20

The five remaining bills are the 20 dollar bills

Please give brainliest if I helped! :)

If at the beginning of the year, a company estimates total overhead costs of $1,309,620. The amount of overhead should be applied to a job that uses 30 machine hours that year is: 13,140.

Overhead rate per machine hour = Total estimated overhead costs / Estimated number of machine hour

Overhead rate per machine hour = $1,309,620 / 2,990

Overhead rate per machine hour  = $438 per machine hour

Overhead applied to job = Overhead rate per machine hour x Number of machine hours used

Overhead applied to job = $438 x 30

Overhead applied to job = $13,140

Therefore, the amount of overhead is $13,140.

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Gross income means all income you receive in the form of money, goods, property, and services that isn't exempt from tax.

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This is the equation of the line tangent to the given curve at the point (1, -1).

To find the equation of the line tangent to the curve with the equation \(e^{(1-xy)}\) = xy at the point (1, -1), first we need to find the derivative of the curve using implicit differentiation.
Differentiating both sides with respect to x, we get:
\((e^{(1-xy)})(-y)\) = y + x(dy/dx)
Now, substitute the point (1, -1) into the equation:
(e²)(1) = -1 - 1(dy/dx)
Solve for dy/dx to find the slope of the tangent line:
dy/dx = -e² - 1
The equation of the tangent line is given by:
y - (-1) = (-e² - 1)(x - 1)
Simplifying, we get:
y + 1 = (-e² - 1)(x - 1)
This is the equation of the line tangent to the given curve at the point (1, -1).

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The equation of the line tangent to the curve xy = 1 - e^(-xy) at the point (1,-1) is y = -x - 2.

To find the equation of the tangent line to a curve at a given point, we need to first find the slope of the tangent line at that point. The slope of the tangent line is equal to the derivative of the function at that point. In this case, the function is \(xy\) = 1 -\(e^(-xy)\), so we need to find its derivative with respect to x.

Taking the derivative of \(xy\) with respect to x using the product rule, we get:

y + \(xy'\) = 0

Solving for y', we get:

y' = -y/x

Next, we evaluate y' at the point (1,-1) to find the slope of the tangent line:

y' = -(-1)/1 = 1

So the slope of the tangent line is 1. Using the point-slope form of a line, we can write the equation of the tangent line as:

y - (-1) = 1(x - 1)

Simplifying, we get:

y = x - 2

Therefore, the equation of the tangent line to the curve xy = 1 - e^(-xy) at the point (1,-1) is y = -x - 2.

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Answer:

Step-by-step explanation:

7:8 is 7/8

9:5

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the claim is true or false must be determined.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

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Answer:

23 =x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

132 = x+109

132 -109 = x

23 =x

Answer:

x = 23°

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Let's solve for value of x,

→ x + 109° = 132°

→ x = 132° - 109°

→ [ x = 23° ]

Thus, the value of x is 23°.

Using cubes formula the factored expression is given as:

1/8x^3 - 1/27y^3 = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)

To factor the expression \(1/8x^3 - 1/27y^3\), we can utilize the difference of cubes formula, which states that the difference of two cubes can be factored as the product of their binomial factors.

In our given expression, we have\((1/8x^3 - 1/27y^3).\) We can identify\(a^3 as (1/2x)^3 and b^3 as (1/3y)^3.\)

Applying the difference of cubes formula, we get:

\((1/8x^3 - 1/27y^3) = (1/2x - 1/3y)((1/2x)^2 + (1/2x)(1/3y) + (1/3y)^2)\)

Simplifying the expression within the second set of parentheses, we have:

\((1/8x^3 - 1/27y^3) = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)\)

Therefore, the factored form of the expression 1/8x^3 - 1/27y^3 is given by (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2). This represents the product of the binomial factors resulting from the application of the difference of cubes formula.

To factor the expression 1/8x^3 - 1/27y^3, we can use the difference of cubes formula, which states that:

       \(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\)

Applying this formula, we get:

1/8x^3 - 1/27y^3 = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)

Therefore, the expression is completely factored as:

\(1/8x^3 - 1/27y^3 = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)\)

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Answer:

See below

Step-by-step explanation:

An equilateral triangle has all sides the same length. A scalene triangle has all sides different lengths. An isosceles triangle has two sides the same length.

ABC: isosceles

DEF: scalene

GHI: equilateral

KJR: scalene

STU: equilateral

YXZ: isosceles

Hope this helps!

The solution is indeed right. a formula that describes how contain a copy on either side of a sign are connected.

An algebraic problem that requires two stages to solve is known as a two-step equation. When the variable appears solely on a single end of the equal sign by itself, without any numbers ahead of it, the equation has been solved.

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Answer:

45 girls

Step-by-step explanation:

since the ratio is 3:5, 3 being the boys, we can divide 27 by 3. We get nine, which is the number we multiply 5 with. 9*5=45 girls

If a negative relation exists between two variables, low scores on one variable will be associated with high scores on the other variable.

In a negative relationship between two variables, a decrease in one variable is accompanied by an increase in the other variable. This means that as scores on one variable decrease (i.e., low scores), the scores on the other variable tend to increase (i.e., high scores). The negative relationship implies an inverse pattern where the variables move in opposite directions.

The exact nature and strength of the negative relationship can vary, but the general trend is that low scores on one variable correspond to high scores on the other variable. This negative association provides insights into the behavior and interactions between the variables being examined.

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Answer:

z=2

Step-by-step explanation:

60=-5(-6-3z)

60= 30+15z

60-30=15z

30/15=15z/15

2=z