fg=gm1m2/r2 solve for r

The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.

Considering that;

The expression is,

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

Presently, We can place x and y in the above expression as;

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)

⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)

⇒ - 20/3 + 7

⇒ 1/3

In this way, The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

to know more about multiplication click here:

https://brainly.com/question/1135170

#SPJ4

The correct order from least to greatest is 3/4 × 4/9, 7/7 × 4/9, 2 × 4/9, 1 2/3 × 4/9.

To order the expressions from least to greatest, we need to compare their values. Let's evaluate each expression:

7/7 × 4/9 = 1 × 4/9 = 4/9

3/4 × 4/9 = 3 × 4/36 = 12/36 = 1/3

1 2/3 × 4/9 = (5/3) × 4/9 = 20/27

2 × 4/9 = 8/9

Now, let's arrange the expressions from least to greatest:

1/3 < 4/9 < 8/9 < 20/27

Therefore, the correct order from least to greatest is:

3/4 × 4/9, 7/7 × 4/9, 2 × 4/9, 1 2/3 × 4/9

Learn more about greatest here

https://brainly.com/question/29292243

#SPJ11

Answer:

x = 18

x = 3

Step-by-step explanation:

2x² - 42x + 108 = 0

common factor is two, so take it out to simplify equation

2 (x² - 21x + 54) = 0

0/2 = 0

x² - 21x + 54 = 0

Factors of 54 which add up to 21 is 18 and 3

(x - 18)(x - 3) = 0

Hence,

x = 18

x = 3

Answer:

80 spotted frogs

Step-by-step explanation:

We can write a ratio

spotted frogs:frogs

12:180

x:1200

To solve we just multiply 12*6.66667 (because this is what we multiplied 180 to get to 1200)

the answer is 80

Wally's average speed in miles per hour 1 1/15 miles per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled in relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, Wally, a tortoise traveled 4/5 of a mile in 3/4 of an hour.

Jada and Kiran’s average speed will be:

Speed = Distance / Time

Speed = 4/5 ÷ 3/4

Speed = 4/5 × 4/3

Speed = 1 1/15 miles per hour.

Learn more about speed on:

brainly.com/question/13943409

#SPJ1

Answer:

3cm

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

second choice

Answer:

im assuming its b because the quality for the pic is bad and i cant really see it

Step-by-step explanation:

Answer:

the answer is c i believe

Answer:

x > -7

-7x > 49

Multiply both sides by (-1) (Reverse inequality)

(-7x) (-1) < 49 (-1)

Simplify

7x < -49

Divide both sides by 7

7x/7 < -49/7

Simplify = x > -7

Answer:

No

(x + 4) ^2 = (x^2 + 8x + 16)

Step-by-step explanation:

You have to factor the equation (X + 4) ^2.

Expanded: (x + 4) * (x + 4)

Using the foil technique:

First: (x) * (x) = x^2

Outer: (x) * (4) = 4x

Inner: (4) * (x) = 4x

Last: (4) * (4) = 16

Factor equations should look like this

a^2 + bx + c, where the Outer and Inner values are added together. Resulting in:

x^2 + 8x + 16

Answer:

width = 26 ft

length = 54 ft

Step-by-step explanation:

perimeter = 160 ft

width = x

length = x + 28

Perimeter = 2(width) + 2(length)

\(2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26\)

width = x = 26

length = x + 28 = 26 + 28 = 54

The length of DE is 12 unit.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

In Triangle DFC using Trigonometry

sin 45 = B/ H

1/ √2 = DF / 12√2

DF = 12 unit

So, DE= DF + FE

DE = 12 + 9

DE = 12 unit.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ1

To calculate the absolute error in the area of a dorm room with length L = 5.2 ± 0.1 m and width W = 4.5 ± 0.1 m, we need to determine the maximum possible difference in the area caused by the uncertainties in the measurements.

The area A of the dorm room is given by the formula A = L × W. To calculate the absolute error in the area, we consider the uncertainties in the length and width measurements.

The maximum possible length is L + δL, and the minimum possible length is L - δL, where δL represents the uncertainty in the length measurement. Similarly, the maximum possible width is W + δW, and the minimum possible width is W - δW, where δW represents the uncertainty in the width measurement.

Therefore, the maximum possible area is (L + δL) × (W + δW), and the minimum possible area is (L - δL) × (W - δW). The absolute error in the area is the difference between the maximum and minimum areas:

Absolute error = (L + δL) × (W + δW) - (L - δL) × (W - δW).

Simplifying this expression, we get:

Absolute error = 4δLW + LδW + δLW.

Given the values of δL = 0.1 m and δW = 0.1 m, we can substitute them into the formula to calculate the absolute error in the area in m^2 units.

Learn more about width here:

https://brainly.com/question/30282058

#SPJ11

Answer:

\( {x}^{2} + 12x - 28 = 0\)

\((x + 14)(x - 2) = 0\)

x = -14, 2

Step-by-step explanation:

x 2+12x−28=0

(�+14)(�−2)=0

(x+14)(x−2)=0

x = -14, 2

Answer:

Step-by-step explanation:

To the 4th power means that all the items in the parenthesis is mulitplied 4 times

(9m)⁴

=9*9*9*9*m*m*m*m*m  or

= (9m)(9m)(9m)(9m)

The Answer is x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

The basic feasible solution from the given tableau X1 X2 Хз S1 S2 Z 0 0160 6 -1 1 1 0 148 2 4 0 -6 -10 -5 0 0 1143 is:x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic. The basic feasible solution is achieved when all the constraints in a linear programming problem are met. The constraints can be in the form of equations or inequalities. The linear programming problem provides the optimal values for a given objective function. The optimal values are determined by the constraints that are involved in the problem. In the given problem, X2 and S1 are basic, and X1, Xx3, and S2 are nonbasic. Indicate which variables are basic and which are nonbasic.The variables that are basic and nonbasic can be calculated from the tableau. The basic variables are those that have the coefficients of 1 in the final column. The nonbasic variables are those that have the coefficients of 0 in the final column. Therefore, x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

Learn more about Tableau

brainly.com/question/25531734

#SPJ11

Answer:

your answer is (d) which is q is not equal to 0

To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.

In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.

Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.

The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.

So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.

Learn more about test statistic here:

brainly.com/question/30398134

#SPJ11

Answer:

y=2/3-5x/6

Step-by-step explanation:

Therefore, a Rank of A = 1.0 is not an eigenvalue of A.

(a) The rank of A = uvT is one. We can see this by the following argument. First, observe that the rank of any matrix is less than or equal to the smaller of its two dimensions. In this case, A is an m × n matrix where

m = dim(u) and n = dim(v),

so rank(A) ≤ min{m, n}.

Because u and v are non-zero and not orthogonal, we know that both dim(u) and dim(v) are at least 1. Thus, the smallest possible value for min{m, n} is 1, and we know that rank

(A) ≤ 1.

On the other hand, it is easy to verify that the vector uvT is not the zero vector, so the columns of A are linearly dependent. This implies that rank(A) cannot be zero and therefore must be 1.
(b) The matrix

A = uvT

has 0 as an eigenvalue if and only if its determinant is zero. To compute the determinant of A, we can use the formula det

(A) = u · (v × u),

where · denotes the dot product and × denotes the cross product. Expanding this expression, we have det

(A) = u1v2u3 − u1v3u2 − u2v1u3 + u2v3u1 + u3v1u2 − u3v2u1.

Because u and v are not orthogonal, we know that at least one of the terms in this expression is non-zero. Therefore, det(A) is non-zero and 0 is not an eigenvalue of A.

Therefore, a Rank of A = 1.0 is not an eigenvalue of A.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ11

Answer:

absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0.

Step-by-step explanation:

Answer:

x=94 or -94

Step-by-step explanation:

x=94 or -94

Answer:

x = 44º

Step-by-step explanation:

∡P  = 360 - 112*2 = 136º

∡A = x = 180 - 136º = 44º

Answer:

x=44 degrees

Step-by-step explanation:

first find angle P ( interior)

the sum of angle of circle=360

angle p=360-(112+112)= 136

angle P and x add up to 180

P+x=180

x=180-136=44 degrees

Answer:

Step-by-step explanation:

A. x is negative infinite to positive infinite

b. Y=3

c. Yes

reasoning

a. It’s asking what can x equal Be used domain is like another name for x and of you look on thw graph the arrow is crossing all the x points

B. It’s asking for y since range is another name for y and you see on the y axis, y is only interacts with three and no other point so it’s just y=3

C. It’s a function because it passes the vertical line tes!

Answer:

answer in picture

Step-by-step explanation:

The number of questions worth 5 points are 10 and the number of questions worth 2 points are 25.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the test, which is worth 100 points, has 35 problems.

Let x = the number of questions worth 5 points.

Let y = the number of questions worth 2 points.

Now, x+y=35 ---------(I)

Each problem is worth either 5 points or 2 points.

5x+2y=100 ---------(II)

From equation (I), we have x=35-y

Substitute, x=35-y in equation (II), we get

5(35-y)+2y=100

175-5y+2y=100

3y=75

y=25

Substitute y=25 in equation (I), we get

x+y=35

x=10

Therefore, the number of questions worth 5 points are 10 and the number of questions worth 2 points are 25.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Answer:2.3

Step-by-step explanation:

Answer:  24) C. SSS only

               26) D. DH = HF

Step-by-step explanation:

24.

Statement                    Reason

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

x=5

Step-by-step explanation:

Set your equation up as following:

6x-10=3x+5

move the 3x to the left side by substracting

3x-10=5

now add 10 to the right side

3x=15

Divide 15 by 3 to isolate x

x=15/3

x=5

Answer:

Median: 19.5

Mean: 22

Range: 26

Mode: 12

Step-by-step explanation: