What are the potential solutions of In(x2 - 25) = 0?
X=+ 1:
VE
O x=+5
O
X=+26
O x=10

Answer:

7.3 if 48 is a number (I'm not sure if you meant 4,8 or 48)

4 if you meant 48 to be separate

Step-by-step explanation:

Mean means average so you add up all the numbers then divide the answer by how many numbers there are, so 44/11=4

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

Answer:

See attached

Step-by-step explanation:

The proof is in the attached image

Answer:

w = 134°

Step-by-step explanation:

w and 46° are adjacent angles and sum to 180° , that is

w + 46° = 180° ( subtract 46° from both sides )

w = 134°

Answer:

134 degrees

Step-by-step explanation:

These are known as supplementary angles, or two angles that add up to 180 degrees. We know they add up to 180 degrees because they both lie upon the same straight line.

Using this information, we can take:

180 = 46 + w

134 = w

134 degrees

Answer:

x = -30

Step-by-step explanation:

g(x)= -2/3x+5

Let g(x) = 25

25= -2/3x+5

Subtract 5 from each side

25-5= -2/3x+5-5

20 = -2/3x

Multiply each side by -3/2

-3/2 * 20 = -3/2 * -2/3 x

-30 = x

Answer:

x = -30

Step-by-step explanation:

g(x)= -2/3x+5

25 = -2/3x + 5

20 = -2/3x

x = -30

Answer:

The architect will disagree because the given side lengths cannot form a triangle shape

Step-by-step explanation:

Here, we want to state why the architect will not agree

from the question, we need to form a triangular shaped flower garden

the side lengths of the supposed triangle are 40 ft, 24 ft and 15 ft

However, it is mathematically impossible for these three side lengths to form a triangle

This is because for three side lengths to be able to form a triangle, then the sum of any two of the side lengths must be greater than the third

For example, if the side lengths are a, b and c

Then for us to have a triangle;

a + b > c

b + c > a

and

a + c > b

But, since;

24 + 15 is less than 40

It means we cannot have a triangle formed

Answer :

Equation :

2y + 3 = 51

Solving :

• 2y + 3 = 51

• 2y = 51 - 3

• 51 - 3 = 48

• 2y = 48

• y = 48 ÷ 2

• 48 ÷ 2 = 24

• so , y = 24

Answer:

2/3

Step-by-step explanation:

x^2 = 4/9

x = 2/3

Remark

All you need do is add the two points  together and divide by 2.

Group the like terms.

Answer: Midpoint = -3 - i

Answer:

-7 + 1i

Step-by-step explanation:

1. Find the midpoint of the segment with endpoints of 6 + 3i and −12 − 5i.       -3 + -1i

2. Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i.

-7.5 + 2.5i

3. A segment in the complex plane has a midpoint at −1 + 7i. If one endpoint of the segment is at

3 + 8i, what is the other endpoint?

-5 + 6i

4. A segment in the complex plane has a midpoint at −1.5 + 3.5i. If one endpoint of the segment is at 4 + 6i, what is the other endpoint?

-7 + 1i

Answer:

13 and 15

Step-by-step explanation:

x + (x+1) + (x+2) > 40

3x + 3 > 40

3x > 37

x > 12.34

Therfore x= 13,15 satisfy the equation

Answer:

136 sq units

Step-by-step explanation:

area = length  * width

a = 17 * 8

a = 136 sq units

The area of the rectangle is given by the equation A = 136 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L

Now , the value of L = 17 units

Let the width of the rectangle be W

Now , the value of W = 8 units

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 8 x 17

Area of rectangle A = 136 units²

Therefore , the value of A is 136 units²

Hence , the area of rectangle is 136 units²

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Answer:

45 = ABD

Step-by-step explanation:

ABC = ABD + DBC

115 = ABD + 70

Subtract 70 from each side

115 - 70 = ABD

45 = ABD

Answer:

Add -8

Step-by-step explanation:

Take the second term and subtract the first term

6-14 = -8

Check with the third and second terms

-2 -6 = -8

We are subtracting 8 from each side

(or adding -8)

Step-by-step explanation:

14, 6, -2, -10 , -18

ok so if you are starting at 14 then you would be add -8

14-8=6

6-8=-2

so on and so on..

But if you are starting from -18 then you would add 8

-18, -10,-2, 6, 14

-18+8=-10

-10+8=-2 so on and so on

so either one of those depending on which number your starting with

Answer:

The equation has 0 solutions (answer C).

Step-by-step explanation:

Starting with x = x - 9, we subtract x from both sides.  This leaves us with:

0 = -9,

which is never true.

The equation has 0 solutions (answer C).

Answer:

I hope the above picture help you mate

have a great day

I did it in white board so that I can explain better.i hope you understand if u have any problem in understanding be sure to reach out

#liliflim

Answer:

see below

Step-by-step explanation:

all formulas of exponent given by:

[tex] \displaystyle {x}^{1} = x \stackrel{ \rm example}{ \iff} 2^{1} = 2[/tex]

[tex] \displaystyle{x}^{0} = 1\stackrel{ \rm example}{ \iff} 2^{0} = 1[/tex]

[tex] \rm \displaystyle {x}^{m} \cdot { x }^{n} = {x}^{m + n} \stackrel{ \rm example}{ \iff} x^{1 } \cdot {x}^{2} = x^{1 + 2 } = {x}^{3} [/tex]

[tex] \displaystyle \sqrt[n]{{x} }= x^{1/n} \stackrel{ \rm example}{ \iff} \sqrt[3]{x} = x^{1/3}[/tex]

[tex] \rm \displaystyle \frac{{x}^{m} }{ { x }^{n}} = {x}^{m - n} \stackrel{ \rm example}{ \iff} \frac{x^{3} }{ {x}^{1} } = x^{3 - 1} = {x}^{2} [/tex]

[tex] \rm \displaystyle ({x}^{m} {)}^{n} = {x}^{m n} \stackrel{ \rm example}{ \iff} (x^{1 } {)}^{2} = x^{ 2 } [/tex]

[tex] \rm \displaystyle ({x}^{m} {y}^{m} {)}^{n} = {x}^{m n} {y}^{mn} \stackrel{ \rm example}{ \iff} (x^{1 } { {y}^{1} )}^{2} = x^{ 2 } {y}^{2} [/tex]

[tex] \rm \displaystyle \left(\frac{{x}^{} }{ { y }^{}} \right) ^{m} = \frac{{x}^{m} }{ { y }^{n} } ^{} \stackrel{ \rm example}{ \iff} = \left(\frac{ {x}^{2} }{ {y}^{2} } \right)^{2} = \frac{ {x}^{4} }{ {y}^{4} }[/tex]

[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } \stackrel{ \rm example}{ \iff} x^{ - 2} = \frac{1}{ {x}^{2} } [/tex]

Answer:

13.76

Step-by-step explanation:

Find the area of the entire square (8 x 8 = 64)

Find the area of the circle (3.14 x 4^2 = 50.24)

Subtract the two (64 - 50.24 = 13.76)

Answer:

Al 8

Step-by-step explanation:

The minute hand is pointing to 20 minutes later at the number 8.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The minute hand is pointing to the 4.

Now,

Since, The minute hand is pointing to the 4.

Hence, The value of number after pointing to 20 minutes later is,

We know that;

Every 5 minutes gives 1 point.

⇒ 20 / 5

⇒ 4

Thus, The minute hand is pointing to 20 minutes later is,

⇒ 4 + 4

⇒ 8

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Answer:

Incorrect.

Step-by-step explanation:

1 toss could not change the frequency by such a large margin 0.47 ---> 0.55.

The number of heads obtained in 30 tosses = 30 * 0.47 =  14.

So if the next toss came up heads the relative frequency of heads would be

15/31 = 0.48.

Answer:

12 r 23

Step-by-step explanation:

for me how I got it was basically by dividing 515 by 41 or by seeing how many time 41 can go into 515

Answer:

12.560976  and the .560976's repeat over and over, so there should be a repeating bar over those numbers

Step-by-step explanation:

Answer:

this means that for just an hour or 2 you're going to pay $25/hour which would be the initial value...but if you keep it for 5 hours you only pay $16/hour...the more you buy the less you pay per thing you're buying. ...this is a partial relationship, because there is an initial value greater than 0, and has a constant rate of change. a direct relationship would be when one variable did affects the other, meaning when one changes, so does the other ....it would mean the price got cheaper by a certain amount with every hour added ...in this example, the price doesn't get cheaper until hour 5, meaning the initial value is affected by the variable of hours rented...but is not a constant change, it is a partial change because it only changes under certain circumstances, (5 hours) rather than changing constantly with each passing hour....

The correct answer is the Additive rate of change.

We have given that,

A data set contains an independent and a dependent variable.

Let x be the independent variable and y be the dependent variable.

To write the  relationship we will have :

y = kx + c

Where k and c are constants.

In the case of a line, the constant k is the gradient.

A multiplicative change is a log form and it is given by :

Y = Ck^x

The relationship is not linear but exponential.

The correct answer is the Additive rate of change.

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Answer:

y = 0.126X - 7.119

8.63

Step-by-step explanation:

X = year, we subtract the year in the data from 1900 ;

So for the years we have :

78,79,80,90,91,96,97,107,108,109

Using technology to fit the data above, the regression model obtained is ;

y = 0.126X - 7.119

Where x = years

y = minimum hourly wage

The minimum hourly wage in 2025

Year = x = 2025 - 1900 = 125 years

y = 0.126(125) - 7.119

y = 8.631

Predicted Minimum hourly wage = 8.63

The estimated minimum wage for 2025 is $ 13.75.

Taking into account the wage data, to determine the equation that models the wage increase and estimate the minimum hourly wage of a U.S. worker in 2025 the following calculations must be performed:

Therefore, the estimated minimum wage for 2025 is $ 13.75.

Answer: 3 ohms

Step-by-step explanation:

Answer:

Domain(-3 , 1]

Range [-4,0)

Step-by-step explanation:

Domain is the values that x can take

x > -3 since it is an open circle and x≤ 1

Using interval notation

(-3 , 1]

The range is the value that y can take

y ≥-4 for the closed circle and y <0 since it doesn't touch 0 at x=0

Using interval notation

[-4,0)

Answer:

an = (2n-1) + a(n-1)

a1 =1

Step-by-step explanation:

a1 =1

a2 = 4

a3 = 9

We can see that the number of boxes is the term number squared

an = n^2 is the explicit formula

an = (2n-1) + an-1

a1 =1

Check

a1=1

a2 = (2*2-1)+1 =3+1 =4

a3 =  (2*3-1)+4 =5+4 =9

a4 = (2*4-1)+9 =7+9 =16

Step-by-step explanation:

Let the box be x

x¹ = 1

x ² = 4

x³ = 9

Here, we can notice that the no. of boxes are in the term of square .

x n = (2n-1 ) + an - 1 is the formula

x ¹ = 1

x ² = (2 × 2 - 1) + 1 = 4

x ³ = ( 2 ×3 -1 ) + 4 = 9

x ⁴ = ( 2 × 4 - 1 ) + 9 = 16

Answer:

For each ticket sold they earned 3 dollars

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{5}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of the line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - [tex]\frac{1}{5}[/tex] x + 5 ← equation of perpendicular line

Answer:

y = -x/5 + 5

Step-by-step explanation:

Equation of a line L : y=mx+b perpendicular to another line L1 through a point P(p,q)

Given :

L1 : y = 5x+2

P : P(p,q) = P(0,5)

Solution :

Slope of L1 = 5.  For L to be perpendicular, product of slopes = -1 =>

m*5=-1, or m = -1/5

Since L passes through P(0,5), using the point slope form of the line L :

L : (y-5) = -(x – 0) / 5

L : y = -x/5 + 5