if ln2=0.693, what is the value of ln32

Answer:

[tex]\large\boxed{y+7=-3(x-5)}[/tex]

Step-by-step explanation:

[tex]\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_2)-point\\\\\text{We have}\ m=-3\ \text{and}\ (5,\ -7).\\\text{Substitute:}\\\\y-(-7)=-3(x-5)\\y+7=-3(x-5)[/tex]

Answer:

y=5 is horizontal

(-4,5) is on the line

Step-by-step explanation:

y= a number is always a horizontal line

x= b number is always a vertical line

So y=5 is horizontal and it includes every single ordered pair with a y-coordinate of 5. So it contain the ordered pair (-4,5).

So there are two statements.

The correct statements are :

The graph of y = 5 is a vertical line.

The point (-4, 5) lies on the line.

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

So the line passes through ( -4,5)

So options A and D are correct.

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Answer: 14 is 20% of 70

Answer:

Congruent Angles

Reasoning:

An angle bisector bisects/splits an angle into two equal/congruent parts/angles.

Answer with explanation:

→ The Meaning of Angle bisector is that line or line segment which divide an Angle in two equal Parts.

→So, If a Line or line segment  that is  Angle bisector is bisecting an Angle , it will divide the angle into two equal Angles.

For example: Suppose an Angle has Measure of 60°, the Angle bisector will divide it into two congruent Angles each being equal to 30°.

⇒The presence of an angle bisector will result in Congruent type of angles

Answer:

-5

Step-by-step explanation:

We have two points.  We can find the slope m using

m = (y2-y1)/ (x2-x1)

   = (8--2)/ (1-3)

      (8+2)/(1-3)

     10/-2

   -5

The slope is -5

Answer:

-5

Step-by-step explanation:

Answer:

x = 90° or π/2 rad

Step-by-step explanation:

4+ 2 sin x=14-8 sin x

2 sin x + 8 sin x  = 14 - 4

10 sin x = 10

sin x = 1

Using a calculator

x = sin[tex]sin^{-1}[/tex]1

x = 90° or π/2 rad

x = 90° or π/2 rad

If you are in high school, take Algebra one or two, Trigonometry, Analytic Geometry, or Precalculus. If you're in college take College Algebra, Trig, or then Calculus.

4+ 2 sin x=14-8 sin x

2 sin x + 8 sin x  = 14 - 4

10 sin x = 10

sin x = 1

Using a calculator

x = sin1

x = 90° or π/2 rad

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Answer:

128 degrees, so C is again the answer.

Step-by-step explanation:

Since angles 3 and 11 are corresponding(from your previous question), angles 1 and 11 will add up to 180 degrees, since a line is that long. Therefore your answer is 180-(degrees of angle 1)= 180-52= 128

m∠11 = 128°.

A line that cuts three parallel lines forms congruent angles which means they measure the same.

In this problem m∠1 = 52° = m∠4 = m∠5 = m∠8 = m∠9 = m∠12, and  m∠2 = m∠3 = m∠6 = m∠7 = m∠10 = m∠11.

To calculate m∠11, we know that m∠12 = m∠1 = 52°, the sum of the angle of m∠11 and m∠12 is 180°. Then:

m∠11 + m∠12 = 180°, with m∠1 = 52° = m∠12

m∠11 + 52° = 180°

m∠11 = 180° - 52°

m∠11 = 128°

The equation 3 • (10 • 12) = (3 • 10) • 12 is justified by the associative property of multiplication, stating that the grouping of numbers in multiplication does not change the outcome.

The equation 3 • (10 • 12) = (3 • 10) • 12 can be justified using the property of associative property of multiplication. This property states that when three or more numbers are multiplied, the way in which the numbers are grouped does not change the product. In simpler terms, no matter how we place the parentheses in a multiplication equation, the result will always be the same.

For example, let's take three numbers, a, b, and c. The associative property of multiplication tells us that (a • b) • c = a • (b • c). Applying this to the given equation, 3 • (10 • 12) is the same as (3 • 10) • 12 because, according to the property, the grouping of numbers does not affect the outcome. This demonstrates why the original equation holds true.

Answer:

57.12cm²

Step-by-step explanation:

From the attached picture, you will notice that you can fill in the 4 corners of the hexagon with 4 triangles (i.e shaded areas) to form a rectangle.

Area of each shaded corner (triangle) = [tex]\frac{1}{2}[/tex] x 4 x 2.14 = 4.28 cm²

Area of 4 shaded corners = 4 x 4.28 = 17.12cm²

Area of rectangle = 9.28 x 8 = 74.24 cm²

Area of hexagon

= Area of rectangle - Area of 4 shaded corners

= 74.24 - 17.12

= 57.12cm²

[tex]4-(6(3x+2)-x)+4=-(18x+12-x)+8=-(17x+12)+8=-17x-12+8=-17x-4[/tex]

Answer:

Step-by-step explanation:

A pie weighs n pounds.  How much would one serving weigh if the entire pie were to be shared equally among 12 people?

Answer:

34a + 12

Step-by-step explanation:

12a + 6a + 8 + 10a - 4 + 6a + 8

combine like terms

12a + 6a + 10a + 6a

and 8 + 8 - 4

34a + 12

Answer: "The true mean height of the giraffes is less than or equal to 15 feet".

Step-by-step explanation:

A hypothesis in a statement that is made about a statistical parameter of a population.

A null hypothesis [tex]H_0[/tex] is usually the hypothesis that is tried to reject by an alternate hypothesis [tex]H_a[/tex]

In this case  [tex]H_a[/tex] is:

"The true mean height of the giraffes is more than 15 feet".

Therefore, for this case, the null hypothesis must be:

 "The true mean height of the giraffes is less than or equal to 15 feet".

Answer:

The game’s expected value of points earned for a turn is 71.

Step-by-step explanation:

Here we know that:

Points     Frequency

50           55

75            32

150          13

Here points earned is a random variable.

We need to find its expected value,

Finding Expected value:

Expected value of a random variable is its mean value. So we will first find the mean value of points earned per turn from the table we are given.

Total number of turns = sum of frequencies

= 55 + 32 + 14 = 100

Total points earned = 50(55) + 75(32) + 150(13)

= 7100

Expected value of points earned for a turn = Mean value of points

= Total points/no. of turns

= 7100/100

= 71

Answer:

The surface area of the figure is [tex]SA=458\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the figure is equal to

[tex]SA=2B+PH[/tex]

where

B is the area of the L-shaped cross section

P is the perimeter of L-shaped cross section

H is the width of the figure

Find the area of the L-shaped cross section

[tex]B=12*7+5*5=109\ ft^{2}[/tex]

Find the perimeter P of L-shaped cross section

[tex]P=(12+7+7+5+5+12)=48\ ft[/tex]

[tex]H=5\ ft[/tex]

substitute

[tex]SA=2(109)+(48)(5)=458\ ft^{2}[/tex]

Answer:

Surface area = 458 square ft

Step-by-step explanation:

From the figure attached with this answer we can see figure.

To find the surface area of the figure

Surface area is sum of area of  small rectangles

Surface area = 2(12 * 7 ) + 4(5 * 5) + 2(12 * 5) + 2(7 * 5)

= 2*84  + 4*25 + 2 *60 + 2*35

 = 168 + 100 + 120 + 70

 = 458

Therefore surface area of given figure = 458 square ft

The Midpoint of a segment divides the segment into two segments of equal length.

Answer:

Midpoint

Step-by-step explanation:

The midpoint is the point on the segment halfway between the two endpoints. In some cases the midpoint of a segment can be found simply by counting.

For example in a straight line between (2,0) and (6,0) the midpoint would be located on the point (4,0).

Answer:

y=5x+1

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(0,1) and (5,0)

m=(0-1)/(5-0)

m=-1/5

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

m1=-1/5

substitute

(-1/5)*m2=-1

m2=5

step 3

Find the equation of the line with slope m=5 and y-intercept (0,1)

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=5

b=1

substitute

y=5x+1

Answer:

C

Step-by-step explanation:

Answer:

4. (a) = 12 m

   (b) = 27 cm

   (c) = 24 mm

   (d) = 18 km

   (e) = 10 m

   (f) = 36 cm

Step-by-step explanation:

Perimeter is sum the distance round a figure.

if a shape has those, they signify that the shape has two side that are equal

a)  4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .

b)  10 + 10 + 7 = 27

c) 5 + 5 + 8 + 6 = 24

d)  3 + 3 + 6 + 6 = 18

e) 2.5 + 2.5 + 2.5 + 2.5 = 10

f) 12 + 7 + 7 + 5 + 5 = 36

If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.

Hope this helps and if it does pls mark as branliest answer thx.

the asnwer is most likey 12x^4-32x^3+24x^2

Answer:

Last option:  [tex]8x^4-32x^3+24x^2[/tex]

Step-by-step explanation:

Given the expression [tex]4x^2(2x^2-8x + 6)[/tex], you need to remember the Product of powers property, which states the following:

 [tex](a^m)(a^n)=a^{(m+n)}[/tex]

Knowing this, you can apply the Distributive property. Therefore, you get:

[tex](4x^2)(2x^2)-(8x)(4x^2) +(6)(4x^2)=8x^{(2+2)}-32x^{(1+2)}+24x^2=8x^4-32x^3+24x^2[/tex]

You can observe that this matches with the las option.

Answer:

no

Step-by-step explanation:

a line is better for a more constant and organized data. this data is unorganized and is scattered. this would be best for this type of dara

Answer:

A and B, A and C

Step-by-step explanation:

A and B touch at T same as A and C. The tangent is in between the two circles but through the touching points. B and C share the tangent but externally since at T it does not pass in between them.

Answer:

[tex]\large\boxed{b=0}[/tex]

Step-by-step explanation:

[tex]4b+6=2-b+4\qquad\text{combine like terms}\\\\4b+6=(2+4)-b\qquad\text{add}\ b\ \text{to both sides}\\\\5b+6=6\qquad\text{subtract 6 from both sides}\\\\5b=0\qquad\text{divide both sides by 5}\\\\b=0[/tex]

Hello!

Answer:

[tex]\boxed{b=0}\checkmark[/tex]

The answer should have a positive sign.

Step-by-step explanation:

First, switch sides and group like terms.

4b+6=-b+2+4

Then, add numbers from left/right.

2+4=6

4b+6=-b+6

Subtract by 6 both sides of an equation.

4b+6-6=-b+6-6

Simplify.

4b=-b

Next add b both sides of an equation.

4b+b=-b+b

Simplify.

5b=0

Therefore, you divide by 5 from both sides of an equation.

5b/5=0/5

Finally, you simplify and solve to find that answer is.

0/5=0

b=0 is the correct answer.

Hope this helps!

Have a nice day! :)

-Charlie

Thank you so much!

Answer:

Denise has $17

Step-by-step explanation:

T = Theo, D = Denise, and R = Rudy

T + D + R= 45

(D+ 5) +( D)+ (D - 11) = 45

3D -6 = 45

3D = 51

D = 17

Answer:

[tex]SA=144\pi\ ft^2[/tex]

Step-by-step explanation:

We know that the diameter of the sphere is 12 feet.

By definition the radius of the sphere is:

[tex]r =\frac{d}{2}[/tex]

Where d is the diameter of the sphere

Then

[tex]r =\frac{12}{2}[/tex]

[tex]r =6\ ft[/tex]

Now we calculate the surface area of the sphere using the formula

[tex]SA=4\pi r^2[/tex]

[tex]SA=4\pi (6)^2[/tex]

[tex]SA=4\pi(36)[/tex]

[tex]SA=144\pi\ ft^2[/tex]

The value of x in the triangle is 8 and the value of y is [tex]8\sqrt2[/tex]

How to determine the value of x in the triangle

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the Pythagoras theorem, we have:

[tex]x^2 = 10^2 - 8^2[/tex]

This gives

[tex]x^2 = 36[/tex]

take the square root of both sides

x = 8

How to determine the value of y in the triangle

Using the Pythagoras theorem on the second triangle, we have

[tex]y^2 = 8^2 + 8^2[/tex]

This gives

[tex]y^2 = 2(8^2)[/tex]

take the square root of both sides

[tex]y = 8\sqrt2[/tex]

Hence, the value of x is 8 and the value of y is [tex]8\sqrt2[/tex]

The answer is 12

a² = c² - b²

a² = 15² - 9²

a² = 225 - 81

a² = 144

a = √144

a = 12

Answer:

12 ft

Step-by-step explanation:

The diagonal divides the flag into 2 right triangles.

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse (diagonal ) is equal to the sum of the squares on the other 2 sides.

let x be the length, then

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

The length of the flag is 12 ft

Answer:

1/2

or

0.5

Step-by-step explanation:

you need to get the line in the form of y = mx + b

2x - 4y = 10                  Subtract 3x from both sides

-4y = - 2x + 10              3x on the left disappears. Divide by - 4

-4y/-4 =-2x/-4 +10/-4    Do the division

y = (2/4)x - 2.5

y = (1/2)x - 2.5

The slope is the number in front of the x

y = 0.5x - 2.5

Answer:

[tex]x^2-10x+25[/tex]

Step-by-step explanation:

We have been given an expression [tex]x^2-10x+[/tex]. We are asked to convert our given expression into perfect-square trinomial.

We know that an equation in form [tex]x^2+bx+c[/tex] is a perfect square, if [tex]c=(\frac{b}{2})^2[/tex]

To convert our given expression into perfect-square trinomial, we need to add [tex](\frac{10}{2})^2[/tex] to our given expression.

[tex](\frac{10}{2})^2=5^2=25[/tex]

Therefore, our perfect square trianominal would be [tex]x^2-10x+25[/tex].

The sum of the real numbers x and y is 25 and their difference is 13. To find the value of xy, we need to solve a system of equations. The value of xy is 114.

To solve this problem, we need to set up a system of equations based on the given information. Let's denote x and y as the two real numbers. The sum of x and y is 25, so we can write the equation x + y = 25. The difference between x and y is 13, so the equation becomes x - y = 13. To find the value of xy, we need to solve this system of equations.

First, let's add the two equations together. (x + y) + (x - y) = 25 + 13. This simplifies to 2x = 38. Dividing both sides by 2, we find x = 19.

Now, we can substitute the value of x into one of the original equations (x + y = 25) to solve for y. 19 + y = 25. Subtracting 19 from both sides, we get y = 6.

Therefore, the value of xy is 19 * 6 = 114.

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Answer:

1344 ft^2

Step-by-step explanation:

From the picture we can see that 4w = 3l, which means that l = (4/3)w.  Since w = 12 ft, l = (4/3)(12 ft) = 16 ft.  Then the total area of the floor is

(length of floor)(width of floor) = (48 ft)(12 ft + 16 ft) = 1344 ft^2