Express the confidence interval (78.5,154.7) in the form of ¯x± ME (Error Bound).

The sum of mAB and mBC is equal

360 - mAC

which makes otion A the correct answer

Answer:

GH = 2

Step-by-step explanation:

since F is the midpoint of EG , then EF = FG = 4

EF + FG + GH = EH , that is

4 + 4 + GH = 10

8 + GH = 10 ( subtract 8 from both sides )

GH = 2

After combining the given expression [2/5m - 4/5 - 3/5m], the resultant expression is [-1/5m - 4/5].

So, 2/5m - 4/5 - 3/5m:

Now, evaluate the expression as follows:

Therefore, after combining the given expression [2/5m - 4/5 - 3/5m], the resultant expression is [-1/5m - 4/5].

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Step-by-step explanation:

-4+8=4

-23+-1=-24

this is correct answer

Answer:

(-2, 4)

Step-by-step explanation:

Midpoints

x = (x1 + x2)/2

y = (y1 + y2)/2

so

-3 = (-4 + x2)/2

x2 - 4 = -6

x2 = -2

5 = (6 + y2)/2

y2 + 6 = 10

y2 = 4

the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

Diameter of the Ferris wheel = 200 feet

radius of the Ferris wheel will be = 200 / 2 = 100 feet

Now, it has travelled 125° counterclockwise.

So, the arc length travelled will be:

Arc length = 2 π r ( 125° / 360°)

Arc length = 2 (22 / 7) (100) (125 / 360)

Arc length = 218.25 feet

rounding off to the nearest whole number, we get that:

Arc length = 218 feet.

Therefore, we get that, the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

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Given:

The matrics

Required:

Match lettered entries in the matrices A, B and AC to their values.

Explanation:

First multiply matrices A with B

Now we can find values of a, b, c, d, e and f from equating two matrices as:

Answer:

The values are a = 2, b = 12, c = -1, d = -3, e = 5 and f = 19.

a. Given the expression of the form Ax + By + C = 0, the slope is

In this case: A = -2 and B = 3.

Answer: 2/3

b. A = -4 and B = 1, so

Answer: 4

c. A = 5 and B = -7, so

Answer: 5/7

d. A = 5 and B = -8, so

Answer: 5/8

The volume and the surface area of the right cylinder are equal to 468π cubic inches and 228π square inches. (Correct choice: B)

In this problem we find a right cylinder, whose height (h), in inches, and radius (r), in inches, are described in the figure and are needed to calculate the volume (V), in cubic inches, and the surface area (A), in square inches, of the solid. The formulas are described below:

Volume

V = π · r² · h

Surface area

A = 2π · r² + 2π · r · h

If we know that r = 6 in and h = 13 in, then the volume and the surface area of the cylinder are, respectively:

Volume

V = π · (6 in)² · (13 in)

V = 468π in³

Surface area

A = 2π · (6 in)² + 2π · (6 in) · (13 in)

A = 228π in²

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Jane wants to rent a boat and spend less than $75.

The boat costs $8 per hour, and Jane has a discount coupon for $5 off

Let t for the number of hours

Then we can write the following inequality

The discount coupon is being subtracted since it was off.

Let us solve the inequality for t

Step 1: Add 5 to both sides of the inequality

Step 2:

Divide both sides of the inequality by 8

This means that Jane could rent the boat for less than 10 hours

The submarine is at a position of -775 feet or 775 feet below sea level.

Here, we assume that the submarine was originally at the sea level, which means it was at position 0.

It then descended 500 feet below sea level. Which means it is now at a position of 500 feet below sea level. This, can be written as-

0 - 500

= -500 feet

Further, it is given that the submarine descended another 275 feet. This means that from -500 feet it further descended 275 feet. This can be written as-

-500 - 275

= -775 feet

Thus, the submarine is at a position of -775 feet or 775 feet below sea level.

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Your question was incomplete. Check for full content below-

A submarine descended 500 feet below sea level. It then descended another 275 feet. Write and then evaluate a subtraction expression to determine the new position of the submarine.

The new speed of Ms.Torres is 119/4 miles/ hour for the driving.

For the given question;

The distance covered by Ms.Torres; 178 1/2 miles

Convert mixed fraction to fraction; 357/2 miles.

The time taken by Ms.Torres; 4 1/2 hours

Convert mixed fraction to fraction; 9/2 hours.

Speed = distance/ time

Speed = 357/2 miles/9/2 hours

Original Speed = 119/3 miles/ hour.

Now, the speed covered by her is 3/4 of the original speed.

Thus,

= (3/4)×(119/3)

= 119/4

Therefore, the new speed of Ms.Torres is 119/4 miles/ hour.

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Equation for the function graphed is f(x) = -0.6 (x - 1)² ÷ (x + 1)(x + 3)

Given, the y-intercept is at (0, 0.2).

From the given graph, it can be deduced the vertical asymptotes are at x = -1, x = 1 and x = -3.

Which implies denominator is 0 and the function is undefined for x = -1, x = 1 or x = -3.

So, -1 and -3. are the roots of the denominator. As a result, the denominator equation has the form: (x + 1)(x + 3).

For finding the equation of the function f(x) = a(x - 1)² ÷ (x + 1)(x + 3)

Put f(0) = 0.2

f(0) = a(0 - 1)² ÷ (0 + 1)(0 + 3) = 0.2

a = - 0.6

∴ Equation is f(x) = -0.6(x - 1)² ÷ (x + 1)(x + 3) for y-intercept is at (0,0.2).

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Ths values of a and b in the equivalent ratio illustrated on the table will be 6 and 12

It should be noted that from the information given, the relationship that exist between the numbers is illustrated as:

y = 0.8x

Therefore, when y is 4.8, the value of x will be:

y = 0.8x

x = 4.8 / 0.8

x = 6

When x = 15, the value of y will be:

y = 0.8x

y = 0.8 × 15

y = 12

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Answer:

[tex]1. a=-10[/tex]

[tex]2. b=-0.2[/tex]

[tex]3. c=0.25[/tex]

Step-by-step explanation:

1. 1/5a = -2

a=-10

2. 8+b=7.8

b=-0.2

3.-0.5=-2c

c=0.25

:]

(Brainliest would help a lot) Tell me if this is incorrect!

Answer:

74.44

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]

Answer:

Step-by-step explanation:

x=3?

Answer:

3

Step-by-step explanation:

If you multiply 1 by 3 it gives you 3, the side of triangle B. Using that scale factor. you can then take the side of triangle B that is 9 and divide it by 3. That gives you the missing side of triangle A.

Hope this helps! :)

The equation y = 2x + 3 is in its slope-intercept form in which slope = 2 and y-intercept is 3.

If the slope is 2, then this means that the rise = 2 and the run = 1.

Knowing the slope and the y-intercept, let's now graph the line.

Let's remove the indication of the slope, here is the graph of the line y = 2x + 3.

Answer:

D

Step-by-step explanation:

A and B don't prove anything because we have the slopes of sides LM and ON to worry about. C could mean that yes, the figure is a quadrilateral, but with those parameters it could be a square, a rectangle, or trapezoid. Therefore D is the correct answer

Diagonal Mo bisects diagonal LN.

Midpoint of line MO =  Midpoint of line LN

Option C is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

In a rhombus,

- All sides are equal

- Opposite sides are parallel

- Diagonals bisect each other

- opposite angles are equal

Now,

Midpoint of line MO =  Midpoint of line LN

Since diagonals bisect each other

Thus,

Diagonal Mo bisects diagonal LN.

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The logarithmic function log ( x³ y² ) when expressed in terms of log x and log y is 3 log ( x ) + 2 log( y).

The opposite of exponentiation is the logarithm. In other words, the exponent to which a fixed number, the base a, must be raised in order to create a specific number x, is represented by the logarithm of that number.

Consider the logarithmic function log x³ y⁴

Using the logarithmic formula,

log ( a b ) = log  (a) + log (b)

We have,

log( x³ y² )  = log ( x³ ) + log( y² )

By applying the logarithmic property:

log ( xⁿ ) = n log x

We have,

log x³ y² = log ( x³ ) + log( y² )

log x³ y² =  3 log ( x ) + 2 log( y)

Therefore, the function log ( x³ y² ) in terms of log x and log y is 3 log ( x ) + 2 log( y).

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Answer:

Smallest to largest would be:

0.008, 0.086, 0.867, 0.870

Step-by-step explanation:

math.

Answer:

a

Step-by-step explanation:

as all the other points had inflection

The measure of angle A in triangle ABC is 90 degrees.

An isosceles triangle is a triangle that has at least two sides of equal length.

Since side AC the same as side AB, this forms an isosceles triangle and angle C is the same as angle B.

Hence;

Note that, the sum of the interior angle of a triangle is 180°

Hence

Angle A + Angle B + Angle C = 180°

4x + 2x + 2x = 180

Solve for x

8x = 180

Divide both sides by 8

8x/8 = 180/8

x = 180/8

x = 22.5

Now, we find measure of angle A.

Angle A = 4x

Plug in x = 22.5

Angle A = 4( 22.5 )

Measure of angle A = 90°

Therefore, the measure of angle A in the isosceles triangle is 90°.

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For the given expression (8^7)^2 = 2^y , the number equals to y is 42.

As given in the question,

Given expression :

(8⁷)² = [tex]2^{y}[/tex]

Simplify the given expression by using law of exponents :

Here the law of product of exponents or product law of exponents (power or index) has been applied under which [tex](8^{7})^{2} = 8^{7times2} = 8^{14}[/tex]

(  8¹⁴ ) =  [tex]2^{y}[/tex]

⇒ (2³)¹⁴ = [tex]2^{y}[/tex]

⇒ 2⁴² =  [tex]2^{y}[/tex]

Comparing the exponents i. e. power (or index), since the base is common, Also when two exponential numbers with common base are equal, their exponents (power or index) can be equated.

Number equals to represent the value of y is 42

Therefore, for the given expression (8^7)^2 = 2^y , the number equals to y is 42.

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Answer:

The first one

Step-by-step explanation:

The first quotient (7) is different from the other three (0.7)

Hope this helps

The retirement counselors at the Valley View Bank$454404.05 > $129818.11 > $108780.71, then the Venus have the largest accumulation.

[tex](1+10)^{15}[/tex]Venus invests $1,200 per year and stops after 15 years.

He can get money : [tex]1200*[/tex] [tex](1+10)^{15}[/tex] at the first year,

We can use ,

Compound interest formula, S = [tex]P*(1+i)^{n}[/tex]

Where,

P means the Principal

I means the interest

n means the year

S means the principal and interest

At the second year he can get,

= 1200 * [(1+[tex]\frac{10degrees}{1}[/tex]) + ([tex]1+[\frac{10degrees}{1} ]^{2}[/tex])

The money of first year has two years interest,

The money of second year has one year interest.

So, we can calculate the 15th year he can get :

= 1200 * [[tex](1+\frac{10degrees}{1}] ^{1}) +(1+(\frac{10degrees}{1} )^{2} )+......(1+(\frac{10degrees}{1})^{15} )[/tex]

= 1200 * [tex]\frac{(1*1)*(1-1*1^{15} )}{1-1*1}[/tex]

The sum of geometric progression,

[tex]S_{n} =\frac{a*(1-q)^{n} }{1-q}[/tex]  ,  q≠1

= $ 41939.67

The rest of years he can get money :

= 41939.67 * ([tex](1+10percent))^{40-15}[/tex]

= $ 454404.053

Kevin can get money 1200* [[tex](1+(\frac{10degrees}{1}) ^{1} )+.......(1+(\frac{10degrees}{1} )^{15} )[/tex]

= 41939.67 at 30th year

Finally he can get money = 41936.67 [tex](1+\frac{10degrees}{1}) ^{40-15*0}[/tex]

= $ 108780.71

Rafael can get money : 1200 * [[tex](1+(\frac{10degrees}{1}) ^{1} )+.......(1+(\frac{10degrees}{1} )^{25} )[/tex]

= $ 129818.11

$454404.05 > $129818.11 > $108780.71

Therefore,

The retirement counselors at the Valley View Bank$454404.05 > $129818.11 > $108780.71, then the Venus have the largest accumulation.

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The width of rectangle is 83 meter.

What is the area of rectangle?

By dividing the rectangle's length by its breadth, we may determine the area of a rectangle.

Formulas for rectangles.

Formula for the perimeter of a rectangle. Rectangle Area Formula: P = 2 (l + b). A = l × b, where l is length of rectangle and b is width of rectangle.

Given area of rectangle is 8217m^2

length l = 99 m

Let width of rectangle be b meter

Therefore,

99 x b = 8217

=> b = 8217/99

=> b = 83

Therefore, the width of rectangle is 83 m.

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The most appropriate choice for corrosponding angle will be given by-

x = 2 is the correct answer

What is corrosponding angle?

At first we need to understood what is angle, parallel lines and transversal

Angle

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Parallel lines

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal

Transversal is a line that intersects two or more parallel lines

Corrosponding angle

The angles formed in the same position on the same side of transversal when a transversal cuts two or more parallel lines

Here,

(7x + 3)° and (8x + 1)° are corrosponding angles.

Lines m and n are parallel.

So corrosponding angles are equals

By the problem,

(7x + 3) = (8x + 1)

8x - 7x = 3 - 1

x = 2

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Answer:

C

Step-by-step explanation:

multiply 24.23 by 4