Find the value of x.
m2 = x + 85
2
73°

Find The Value Of X.m2 = X + 85273

Answers

Answer 1

Answer:

-12

Step-by-step explanation:

in an iscocles, the base angles equal eachother so,

73=x+85

x=-12

Answer 2
The answer is -12 x=-12

Related Questions

I’m confused in the exponential

Answers

These are the laws of indices. You just have to memorise it, sorry : (

Hope it helps : )

Solve the following equation. Write your answer in reduced fraction form, if necessary. (7x−2)(x+6)=0

Answers

Answer:

x = 2/7

x = -6

Step-by-step explanation:

You can solve the equation by setting each set of parentheses equal to 0 and simplifying.

7x - 2 = 0                                <----- First set of parentheses

7x = 2                                      <----- Add 2 to both sides

x = 2/7                                    <----- Divide both sides by 7

x + 6 = 0                                 <----- Second set of parentheses

x = -6                                      <----- Subtract 6 from both sides

If R={(1,2),(2,3),(3,9),(4,5)} find R-1​

Answers

Answer:

[tex]R^{-1}[/tex]={(2,1), (3,2), (9,3), (5,4)}

Step-by-step explanation:

Solution Given:

To find the inverse we need to exchange Domain to Range and vice-versa.

so

[tex]R^{-1}[/tex]={(2,1), (3,2), (9,3), (5,4)}

What fraction with a denominator of 32 is equal to 1/2?

Answers

Answer:

[tex]\frac{16}{32}[/tex]

Step-by-step explanation:

given

[tex]\frac{1}{2}[/tex] ← multiply numerator and denominator by 16 (2 × 16 = 32 )

= [tex]\frac{16}{32}[/tex]

What does the acronym EDI stand for ? a ) Electronic data interchange b ) Electronic duty interruption c ) Estimated duration indication Extreme data interchange d )

Answers

electronic data interchange

101 101 Suppose that Σ ai = -12 and Σ bi = -19. i=1 i=1 Compute the sum. 101 Σ( – 5ai – 12bi) i=1​

Answers

Distribute the summation over the sum.

[tex]\displaystyle \sum_{i=1}^{101} (-5a_i - 12b_i) = -5 \sum_{i=1}^{101} a_i - 12 \sum_{i=1}^{101} b_i[/tex]

Now plug in the known sums and simplify.

[tex]\displaystyle \sum_{i=1}^{101} (-5a_i - 12b_i) = -5(-12) - 12(-19) = \boxed{288}[/tex]

Which statement is true about the slope of the graphed line?


A graph is a line that extends from second quadrant to first quadrant with y-intercept at 4.


A.

The slope is negative.

B.

The slope is positive.

C.

The slope is zero.

D.

The slope is undefined.

Answers

Answer:

c

Step-by-step explanation:

because I had a test on these

pls need help



ersrsreerre

Answers

The computation shows that the salesman that has the highest total earnings for the three weeks period will be salesman A.

How to compute the value?

It should be noted that from the information given, we are given the information about three salesmen and their sales.

The total earnings for salesman A will be:

= (1300 × 3) + 65 × (11 + 14 + 16)

= 3900 + 2730

= 6630

The total earnings for salesman B will be:

= 300 × 3 + 40 × (14 + 15 + 13)

= 900 + 1680

= 2580

The total earnings for salesman C will be:

= 900 × 3

= 2700

Therefore, the computation shows that the salesman that has the highest total earnings for the three weeks period will be salesman A.

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Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.

Answers

Using simple interest, it is found that the APR is of 4.472%.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

The parameters are given as follows:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

Hence the APR is found as follows:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]3067.08 = 3000(1 + 0.5r)[/tex]

[tex]1 + 0.5r = \frac{3067.08}{3000}[/tex]

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

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Adam eats 20 % of a pizza, Bethany eats another 1/3 of the pizza, and Charlie eats the remaining 14 slices. How many slices total did the pizza originally have?

Answers

The pizza originally have 30 slices.

What is linear equation?

An equation in which the highest power of the variable is one is known as linear equation.

We will find number of pizza slices as shown below:

Let pizza originally have x slices.

Adam eats 20% of a pizza

= 0.2x

Bethany eats 1/3 of pizza

=1/3(x)

Charlie eats the remaining 14 slices

0.2x+1/3(x)+14=x

14 = x - 0.2x - 1/3(x)

14 = x - x/5 - x/3

14 = (15x - 3x - 5x)/15

14*15 = 7x

By dividing both sides by 7, we get

30 = x

x = 30

Hence, the pizza originally have 30 slices.

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An insurance company study shows that 9% of U. S. adults have diabetes. Suppose 8 US adults are selected at random. LetX be the number of US adults among the 8 selected that have diabetes. Find the mean and standard deviation of X.

Answers

Using the binomial distribution, it is found that:

The mean of X is of 0.72.The standard deviation of X is of 0.81.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

E(X) = np = 8 x 0.09 = 0.72.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81[/tex]

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The sum of two numbers is 43 . The smaller number is 9 less than the larger number. What are the numbers?

Answers

Answer:

17 & 26

Step-by-step explanation:

The equation

[tex]x+(x+9)=43\\2x+9=43[/tex]

[tex]2x=43-9\\2x=34[/tex]

[tex]x=34/2=17[/tex]

One number is 17

The other number is:

[tex]x+9=17+9=26[/tex]

Hope this helps

What will it cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard?

Answers

$1078.56

What is the formula of the area of the rectangle?

The formula of the area of the  rectangle = Length * Breadth

                                               = 18*21 feet

                                              = 378 feet^2

As cost of carpet is given in square yard. so convert area of rectangle in square yard.

1 square feet = 9 square yard

so, 378/9 = 42 square yard

Cost of carpet = $ 25.68 per square yard (given)

Total cost of rectangular floor = 25.68 * 42

                                                = $1078.56 square yard

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$1078.56 is the cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard.

What will it cost to carpet a rectangular floor?

Given:

A rectangular floor measuring 21 feet by 18 feet.The carpets cost $25.68 per square yard.

Find:

Cost to carpet a rectangular floor.

Solution:

The formula of the area of the  rectangle = Length * Breadth

                                              = 18*21 feet

                                             = 378 feet^2

As the cost of the carpet is given in square yard. so convert an area of the rectangle into a square yard.

1 square foot = 9 square yards

so, 378/9 = 42 square yard

Cost of carpet = $ 25.68 per square yard (given)

Total cost of rectangular floor = 25.68 * 42

                                               = $1078.56 square yard

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In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following best approximates the area of the shaded region? Note: The figure is not drawn to scale. O 14.45 O 16.62 O 25.99 O 81.65 O 145.27

Answers

A circle is a figure bounded by a curved side which is referred to as circumference. Thus the area of the shaded region is option D. 81.65.

A circle is a figure bounded by a curved side which is referred to as circumference. Some of its parts are radius, diameter, sector, arc, etc.

The area of a circle can be determined by the given expression:

Area = π[tex]r^{2}[/tex]

where r is the radius of the circle and π = [tex]\frac{22}{7}[/tex]

So, the area of the shaded region can be determined as:

Area of the shaded region = area of the larger circle - area of the smaller circle

Area of the shaded region = π[tex](6.8)^{2}[/tex] - π[tex](4.5)^{2}[/tex]

                                            = π (46.24 - 20.25)

                                            = [tex]\frac{22}{7}[/tex] x 25.99

                                            = [tex]\frac{571.78}{7}[/tex]

Area of the shaded region = 81.683

Thus the appropriate answer to the question is option D. 81.65.

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write the explicit formula for this geometric sequence.
81,27,9,3, …
Find the common ratio, r.

Answers

The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.

The geometric sequence 81, 27, 9, 3, … has common ratio:

r = 27/81 = 1/3

The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

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Geometry question please help!

Answers

Answer:

4

Step-by-step explanation:

Since,

The width of the Longer gear is 7, and the smaller gear has a width of 3..

7-3 = 4

Hope it helps...

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use technology to determine an approximate solution to each of the following systems of linear equations
a y=22x-9.5 and y=2.5x+4.1
b 8x+y-18=0 and 5x+9y+4=0
c 6x + y= 12 and 5x +8y =-100

Answers

From the given system of linear equations, we have;

a. x ≈ 0.697, y ≈ 5.84b. x ≈ 2.48, y ≈ -1.82c. x ≈ 4.56, y ≈ -15.35

How can technology be used to solve the given equations?

a. The system of linear equations can be expressed as follows;

y = 22•x - 9.5

y = 2.5•x + 4.1

Rewriting the equations to have the constants on the right, we have;

y - 22•x = - 9.5

y - 2.5•x = 4.1

Solving the above equations using matrices method on a calculator gives;

y = 5.84x = 0.697

By direct solving, we have;

22•x - 9.5 = 2.5•x + 4.1

22•x - 2.5•x = 4.1 + 9.5

19.5•x = 13.6

x = 13.6 ÷ 19.5 ≈ 0.697

x ≈ 0.697

y = 22•x - 9.5

y = 22×(13.6/19.5) - 9.5 ≈ 5.84

y ≈ 5.84

b. 8•x + y - 18 = 0

5•x + 9•y + 4 = 0

Rewriting gives;

8•x + y = 18

5•x + 9•y = -4

Solving with technology gives,;

x ≈ 2.48y ≈ -1.82

Solving directly gives;

y = 18 - 8•xy = -(5•x + 4)/9

Which gives;

18 - 8•x = -(5•x + 4)/9

9×(18 - 8•x) = -(5•x + 4)

162 - 72•x = -(5•x + 4)

5•x - 72•x = -162 - 4 = -166

67•x = 166

x = 166 ÷ 67 ≈ 2.478

x ≈ 2.478

y = 18 - 8•x

Therefore;

y = 18 - 8 × (166 ÷ 67) ≈ -1.82

y ≈ -1.82

c. 6•x + y = 12

5•x + 8•y = -100

Solving the above linear system using technology, we have;

x ≈ 4.56y ≈ -15.35

Solving directly, we have;

y = 12 - 6•x

5•x + 8•y = -100

y = (-100 - 5•x)/8

12 - 6•x = (-100 - 5•x)/8

8 × (12 - 6•x) = (-100 - 5•x)

96 - 48•x = (-100 - 5•x)

48•x - 5•x = 96 + 100

43•x = 196

x = 196/43 ≈ 4.56

x ≈ 4.56

y = 12 - 6•x

Therefore;

y = 12 - 6×(196/43) ≈ -15.35

y ≈ -15.35

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here is a polygon. draw a scaled copy of the polycon with scale factor 3

Answers

The scaled copy of the polygon is added as an attachment

How to draw the scaled copy?

The complete question is added as an attachment

The coordinates of the polygon are

A = (-7, 6)

B = (-10, 8)

C = (-10, 10)

D = (-6, 10)

The scale factor is 3.

So, the rule of dilation is

(x, y) = (3x, 3y)

Using the above rule, we have:

A' = (-21, 18)

B' = (-30, 24)

C' = (-30, 30)

D' = (-18, 30)

See attachment for the scaled copy of the polygon

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Remove all perfect squares from inside the square roo
√28

Answers

Answer:

√2² cannot be answer yesah

please help with this question

Answers

The value of angle TUS based on the information given about the circle will be 49°.

What is a circle?

It should be noted that a circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Equivalently, a circle is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

The radius is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Here, the value of TUS will be:

= 1/2 × TRS

= 1/2 × 98°

= 49°

In conclusion, the correct option is 49°.

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Complete question:

Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is m∠TUS?

9 and 1/9 subtracted by 1 and 4/5

Answers

Answer:

7 14/45

Step-by-step explanation:

9 1/9 - 1 4/5

82/9 - 9/5

410/45 - 81/45

329/45

7 14/45

Answer:

●7.31

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choose the correct option that explains what steps were followed to obtain the system of equations below x+6y = 5

Answers

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution of system B will be the same as the solution of system A.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

System A:

x + 6y = 5 and; 3x - 7y = -35

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3.

System B:

x + 6y = 5 and; - 25y = -50

The solution of system B will be the same as the solution of system A.

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There are 10 M&Ms of which 6 are green, in a bowl. You select 2 of them and eat each after it is selected. Is this a binomial experiment? Why or why not?

Answers

The experiment is not a binomial experiment.

What is a binomial experiment?

A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.

The conditions for a binomial experiment include:

1. Each trial should be classified either as a success or a failure.

2. There are a fixed number of observations

3. The trials are independent.

4. The number of trials are fixed.

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Josue has a coin collection. He keeps 11 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?

Answers

Answer:

220

Step-by-step explanation :

11 = 5%

100 ÷ 5 = 20

11 × 20 = 220

0.05 × 220 = 11 ✓

0.05 = decimal multiplier of 5%

HELLO! I need aid with my assignment please, all the equations and to be solved. Please!

Answers

By using excel sheet we can get the answers for the difference t test.

The two kinds of formula are used in the excel . One from the data analysis the t test assuming equal variances as nothing was mentioned.

But if the t test for the means is used there might be slight variation in the values.

The other formula was of descriptive statistics.

The data was

No of feedback (sec) Feedback (sec) Difference

45 54 9

33 50 17

59 58 -1

32 38 6

30 42 12

27 35 8

29 38 9

59 66 7

64 65 1

38 55 17

For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

The difference t test gives

Count=N   9                  9

Mean        41.2             49.67

Mean Difference  8.4

Standard Deviation  14.967       11.97

Variance        223.944  143.25

Standard Error 2.0824

t       = -1.322

df = 16

t Critical two-tail 2.119905285

Confidence Level(95.0%) 4.802039614

Lower CI (95.0%) =  3.6

Upper CI(95.0%)=  13.2

t stat for 0.01=  4.561578674

t Critical two-tail 3.249835541

Confidence Level(99.0%) 6.055710988

Lower CI (99.0%) =  2.345

Upper CI(99.0%)=  14.457

For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

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questions 1, 2 and 3 please!
will give brainliest to whoever answers
80 points

Answers

Answer:

a) [tex]f(x) = x + 3[/tex]

b) [tex]f(x) = -x - 5[/tex]

c) [tex]f(x) = 2x + 6[/tex]

Step-by-step explanation:

To determine the equation of a straight line, we need two things:

1. two known points (coordinates) on the line, used to calculate the gradient

2. the y-intercept of the line (the y-coordinate of the point at which the line crosses the y-axis)

Then we can use the equation:

[tex]\boxed {f(x) = ax + q}[/tex]

where a is the gradient and q is the y-intercept, to determine the equation of the line.

a) known points: (0, 3), (-4, -1)

y-intercept: 3

gradient = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

             ⇒ [tex]\frac{3 - (-1)}{0 - (-4)}[/tex]

             ⇒ [tex]\bf 1[/tex]

∴ a = 1 , q = 3

∴ equation:

[tex]{f(x) = ax + q}[/tex]

[tex]f(x) = 1x + 3[/tex]

⇒ [tex]\bf f(x) = x + 3[/tex]

 

b) known points: (-7, 2) , (0, -5)

y-intercept = -5

gradient = [tex]\frac{2 - (-5)}{-7 - 0}[/tex]

             ⇒ [tex]\bf -1[/tex]

∴ equation:

[tex]f(x) = -1x + (-5)[/tex]

⇒ [tex]\bf f(x) = -x - 5[/tex]

c) known points: (-3, 0), (0, 6)

y-intercept = 6

gradient = [tex]\frac{6 - 0}{0 - (-3)}[/tex]

             ⇒ [tex]\bf 2[/tex]

∴ equation:

[tex]\bf f(x) = 2x + 6[/tex]

Could you help me solve?

Answers

Answer:

  1.14200738982×10^26

Step-by-step explanation:

Substitution can make this integral much easier to evaluate.

Substitution

Let u = 7x² -x. Then du = (14x -1)dx. The limits on x become different limits for u:

  for x = 1: u = 7(1²) -1 = 6

  for x = 3: u = 7(3²) -3 = 60

Integral

  [tex]\displaystyle\int_1^3{(14x-1)e^{(7x^2-x)}}\,dx=\int_6^{60}{e^u}\,du=\left.e^u\right|^{60}_6\\\\=e^{60}-e^6\approx e^{60}\approx\boxed{1.14200738982\times10^{26}}[/tex]

centered at the origin given its...
Give the equation of the circle centered at the origin and passing through the point (0, -5).

Answers

Step-by-step explanation:

the equation of a circle centered at the origin is

x² + y² = r²

r being the radius (the distance of the center to every point on the circle's arc).

so, we get a point on the arc : (0, -5).

what is its distance to the origin ?

the origin is (0, 0).

we see, both points have the same x coordinates. they are therefore on the same vertical line going through x=0.

that means there is no distance between them in x direction.

the only distance is in y direction : 0 to -5.

a distance is always positive (no matter in what direction).

so, the distance from 0 to -5 is : 5 units.

that means r = 5.

and our equation is

x² + y² = 5² = 25

suppose that g is a continuous function, 3_integral^5
g(x)dx=18, and 3_integral^10 g(x)dx =36. Find
5_ integral^10 g(x)dx
those are intergral symbols with numbers on
top and bottom. please show work. thanks

Answers

The value of the definite integral [tex]\int\limits^{10}_5 {g(x)} \, dx = 18[/tex]

The question has to do with definite integrals

What are definite integrals?

Definite integrals are integrals obtained within a range of values (or limits) of the independent variable.

Given that

[tex]\int\limits^5_3 {g(x)} \, dx = 18[/tex] and also  [tex]\int\limits^{10}_3 {g(x)} \, dx = 36[/tex] and we require [tex]\int\limits^{10}_5 {g(x)} \, dx[/tex]

For any integral  [tex]\int\limits^a_c {g(x)} \, dx = \int\limits^a_b {g(x)} \, dx + \int\limits^b_c {g(x)} \, dx[/tex]

So,  [tex]\int\limits^{10}_3 {g(x)} \, dx = \int\limits^5_3 {g(x)} \, dx + \int\limits^{10}_5 {g(x)} \, dx[/tex]

So,   [tex]\int\limits^{10}_5 {g(x)} \, dx = \int\limits^{10}_3 {g(x)} \, dx - \int\limits^5_3 {g(x)} \, dx[/tex]

Since

[tex]\int\limits^5_3 {g(x)} \, dx = 18[/tex]and   [tex]\int\limits^{10}_3 {g(x)} \, dx = 36[/tex]

Substituting the values of the variables into the equation, we have

[tex]\int\limits^{10}_5 {g(x)} \, dx = \int\limits^{10}_3 {g(x)} \, dx - \int\limits^5_3 {g(x)} \, dx[/tex]

[tex]\int\limits^{10}_5 {g(x)} \, dx = 36 - 18 \\\int\limits^{10}_5 {g(x)} \, dx = 18[/tex]

So, the value of the definite integral [tex]\int\limits^{10}_5 {g(x)} \, dx = 18[/tex]

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You deposit $2000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30 years?

Answers

The amount that will be in the account after 30 years is $188,921.57.

How much would be in the account after 30 years?

When an amount is compounded annually, it means that once a year, the amount invested and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.

The formula that can be used to determine the future value of the deposit in 30 years is : annuity factor x yearly deposit

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate n = number of years

$2000 x [{(1.07^30) - 1} / 0.07] = $188,921.57

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