Find the surface area of an open box with length of 12 inches, width of 7 inches, and height of 4.5 inches

Also, Good Moring
Worth 20 points

Answer:

x=2 is the true solution.

Step-by-step explanation:

We have been given the expression:

2\ln 4x=2\ln 8

Using:

n\ln m=\ln m^n

Our given expression becomes:

\ln{4x}^2=\ln{8^2}

Cancel ln from both sides we get:

4x^2=8^2

On simplification we get:

16x^2=64

x^2=4

Final simplification gives the result:

x=2

Answer:

x = 8

Step-by-step explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8

Answer:

A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2

Step-by-step explanation:

We are given the line y - 2x = 3;

For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;

6 - 2 * x = 3 ⇒ Subtract 6 on either side,

-2 * x = - 3 ⇒ Divide - 2 on either side of equation

x = 1 and 1 / 2 for y = 6,

Solution; A ( 1.5, 6 )

Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;

y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,

y - 30 = 3 ⇒ Add remaining terms,

y = 33 for x = 15,

Solution; B ( 15, 33 )

To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;

y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept

y = 2x + 3, ⇒ Solution; Slope ⇒ 2

Answer:

b) 8/40 = 1/5

The probability of the relative frequency for females in the age group 60-69 is 0.625.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

here we have to find the probability that a resident is female.

[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]

here the total number of females are=19+2+4

                                                              =25

and the total number of males=1+9+5

                                                   =15

Hence, the total number of people=25+15=40

So Probability=25/40

                      =0.625

Hence option D is correct.

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Answer:

93.75 per year

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{2}{7}+\frac{1}{4}[/tex]

LCD = 28

[tex]\frac{2}{7}+\frac{1}{4}=\frac{2*4+1*7}{28}\\\\=\frac{8+7}{28}\\\\=\frac{15}{28}\\[/tex]

= 0.535  {Round off to tenth}

= 0.5

[tex]\frac{5}{6}+\frac{1}{4}=\frac{5*4-1*6}{24}\\\\=\frac{20-6}{24}\\\\=\frac{14}{24}\\\\=\frac{7}{12}\\[/tex]

= 0.583 {Round off to tenth}

= 0.6

So 2/7 +1/4 is closer to 1/2

Answer:

1). A

2). C

Step-by-step explanation:

please mark brainliest

We have been given a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. We are asked to find the measure of arc g.

We can see that angle with 38 degrees measure is a secant tangent angle outside the circle.

We know that measure of an angle formed by intersection tangent and secant outside circle is half the difference of intercepted arcs.

[tex]38^{\circ}=\frac{1}{2}(119^{\circ}-g^{\circ})[/tex]

[tex]38^{\circ}\cdot 2=\frac{1}{2}\cdot 2(119^{\circ}-g^{\circ})[/tex]

[tex]76^{\circ}=119^{\circ}-g^{\circ}[/tex]

[tex]76^{\circ}+g^{\circ}=119^{\circ}-g^{\circ}+g^{\circ}[/tex]

[tex]76^{\circ}+g^{\circ}=119^{\circ}[/tex]

[tex]76^{\circ}-76^{\circ}+g^{\circ}=119^{\circ}-76^{\circ}[/tex]

[tex]g^{\circ}=43^{\circ}[/tex]

Therefore, the measure of smaller arc is 43 and option B is the correct choice.

Answer:

33%

Step-by-step explanation:

There are 33 squares out of 100 that are shaded

33/100

Percent means out of 100

33%

Answer: 33%

Explanation: A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.

Answer:

B because 5/6 is roughly .83, which is bigger than .8

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

This is correct trust me! :)

(Stay safe loves!)

Answer:

c

Step-by-step explanation:

Answer:

Answer: C

Step-by-step explanation:

Step-by-step explanation:

Start with a point on (0,6) This is because the 6 represents the point on the y - axis

Then, move up 1 and 3 to the right; This should result with a point on (3,7)

Keep repeating this to get your line

Answer:

x intercept = (6,0)

y intercept = (0,-18)

the line is negative so it'll look like that -> /

Step-by-step explanation:

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

Answer:

216

Step-by-step explanation:

Answer:

Step-by-step explanation:

6/20 Gallons

Answer:

[tex]\frac{3}{10}[/tex].

Step-by-step explanation:

To do this, we will need to subtract fractions.

[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)

Answer:

20% of 198,000 is $39,600

To set up the equation you would do:

198,000 * .2 (which is the 20%)

The answer is 39,600.

I hope this helps.

Answer:

24+70+56=150

Step-by-step explanation:

Answer:

966

Step-by-step explanation:

Follow the order of operations.

Answer:

If the arrow is pointing to the -2, that’s the constant.

If the arrow is pointing at x, that’s the variable.

If the arrow is pointing at 3, that’s the coefficient.

If arrow points to → 3x → it is a constant value multiplied by a variable.

If arrow points at → 2 → it is a constant number

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression → 3x - 2.

Parts of the expression are called its terms. Term of a expression can be a constant number, a variable or a constant value multiplied by a variable. The expression given is → 3x - 2.

If arrow points to → 3x → it is a constant value multiplied by a variable.

If arrow points at → 2 → it is called a constant number

Therefore, we can write -

If arrow points to → 3x → it is a constant value multiplied by a variable.

If arrow points at → 2 → it is a constant number

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Answer:

The answer is 4 days

Step-by-step explanation:

If the final amount is 12.60 then you would decide that by 3.15 to get to 4 sense 3.15 • 4 would be 12.60

What are the advantages of the parametric equations

Answer:

Step-by-step explanation:

Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.

From  the question given; the advantages of parametric equations  given

x = 1 + 6 cos t

y= -2 + 6 sin t

are :

1) For a given value of the independent variable the parametric equation is used exactly one point on the graph

2) the parametric equations  have a finite domain

3) the parametric equation is easier to enter into a calculator for graphic

Answer:

That dude was wrong on one of them!

A, C, E

The list of sides in triangle EFG in order from smallest to largest is option A) EF, EG and FG.

A triangle is a polygon in two dimension which has three vertices, three edges and three angles.

There are different kinds of triangles like equilateral triangle, isosceles triangle and so on.

Given triangle EFG and the angles of the triangle is also given.

The largest side of a triangle is the side which has the largest opposite angle.

Or in other words, the side opposite to the larger angle will be having larger length.

Here the largest angle is 63°. So the side opposite to this angle which is side FG is having largest length.

Then comes the angle 62°. The side opposite to this is EG which is the side standing next to FG.

The smallest angle is 55° and the side opposite to it which is EF is having smallest side length.

So the order from smallest to largest is EF, EG, FG.

Hence the sides in order from smallest to largest is EF, EG, FG.

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Answer:

155.7

Step-by-step explanation:

Use what you know.

Segment AC is 130 ft

Segment CD is 70ft

If you use the Pythagorean Theorem, in this case being  =  +

To find segment CE, you would do r-70

So,  =  +

= 16,900 +  -140r + 4900

Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together

You'll end up with 140r = 21,800

Divide 140 on each side.

Your final answer will be 155.7 (rounded to the nearest tenth)

Answer:

3 units.

Step-by-step explanation:

If you view the triangle face in halves, the bottom leg is  units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.  

Answer:

i think it's C

Step-by-step explanation:

on the x coordinate, it's shifted two units to the right, so it'd be (x+2)

Answer:

[tex]\huge \boxed{\mathrm{D.} \ g(x)=(x-2)^2 }[/tex]

Step-by-step explanation:

The formula for horizontal translation is written as:

[tex]f(x-h)[/tex]

Where [tex]h[/tex] is the number of units translated.

[tex]f(x)=x^2[/tex]

The graph of f(x) is translated 2 units to the right as shown on the graph.

[tex]f(x-2)=(x-2)^2[/tex]

The translated function is g(x).

[tex]g(x)=(x-2)^2[/tex]

As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.

Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial

2x³ - 3x² + x.

Therefore,

2(1)³ - 3(1)² + 1 = 0

2 - 3 + 1 = 0.

3 - 3 = 0.

0 = 0.

So, The binomial x - 1 is a factor of the polynomial.

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Answer:

What exactly is the question asking? Is that the full question? The answer is 20

Step-by-step explanation:

Answer:

20 sq units

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.

Your equation can be:

2(2x+2) + (3x + 1) = 180

x = 25

S = 2(25) + 2

S = 52 degrees

Answer:

52

Step-by-step explanation:

Because SR = TR, ∡S =∡T= 2x+2

For any triangle sum of all angles = 180°.

2x+2 +2x+2+3x+1= 180

7x + 5 =180

x = 25°

∡S =2x+2=2*25+2 = 52°

Answer:

11.25

Step-by-step explanation:

AB: < 14-3 , 17-12 >

AB: < 11, 15 >

AC = ¾< 11, 15 >

AC = < 8.25 , 11.25 >

OC = OA + AC

OC = < 3 , 12 > + < 8.25 , 11.25 >

OC = < 11.25 , 23.25 >

C: (11,25,23.25)

Answer:

1.3<x<6.7

Step-by-step explanation:

I did this before.

Don't know how to explain. :)