if point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10

Step-by-step explanation:

Q is inversely proportional to P is written as

[tex]Q \: \: \alpha \: \frac{k}{P} [/tex]

where k is the constant of proportionality

we must first calculate the relationship between them

So we have

when Q = 0.25

P = 2

Substitute the values into the above equation

That's

[tex]0.25 = \frac{k}{2} [/tex]

Cross multiply

We have

k = 0.25 × 2 = 0.5

So the formula for the variation is

[tex]Q = \frac{0.5}{P} [/tex]

when P = 5

We have

[tex]Q = \frac{0.5}{5} [/tex]

We have the answer as

When Q = 0.2

We have

[tex]0.2 = \frac{0.5}{P} [/tex]

Cross multiply

That's

0.2P = 0.5

Divide both sides by 0.2

We have the answer as

Hope this helps you

Answer: The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

Step-by-step explanation:

A 95% confidence interval for population mean ([tex]\mu[/tex]) is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error < [tex]\mu[/tex] < Sample mean + margin of error) = 0.95.

Answer:

see below

Step-by-step explanation:

|AB| = | 2 - 5.25| = 3.25

The lines starts at 2 not at 1

Answer:

68,000,000

Step-by-step explanation:

Look at the hundred thousands place. If it's a 5 or higher you round up and if it's lower you round down. Since there is 4 in the hundred thousands place you round down. Everything to the right turns into a zero.

Answer:

Hey there!

The relationship can be y=3x.

Let me know if this helps :)

Answer:

f(x) ≤ -5

Step-by-step explanation:

Answer: hoping the other guy was right lol

Step-by-step explanation:

Answer:

7/4 : 3/8

Step-by-step explanation:

nitrogen =1 3/4 =7/4

potash= 3/8

Answer:

[tex] 2ab^2 -d^3 + c [/tex]

Step-by-step explanation:

Given the expression [tex] 2ab^2 - (d^3 - c) [/tex], all you need to do to evaluate the expression is to open the bracket.

Use the negative sign to multiply all the terms within the bracket alongside the sign they carry.

Thus,

[tex] 2ab^2 - (d^3 - c) = 2ab^2 -d^3 + c [/tex] (negative sign multiplied by negative sign equal positive sign)

We cannot evaluate [tex] 2ab^2 -d^3 + c [/tex] further. The me three terms are different from one another. There are no like terms.

Answer:

1. 20%

2. [tex]33.\overline{33}[/tex]

Step-by-step explanation:

We can use percentage proportions to find out these answers.

For number one, 10 is what percent of 50, we already know our two values so we can make the equation:

[tex]\frac{10}{50} = \frac{x}{100}[/tex]

Using the cross products property, we know that x is [tex](100\cdot10)\div50[/tex] which is 20.

So 10 is 20% of 50.

For number two, we know a different pair of two numbers now: we know the percent of x, and the percent it is, so the equation can become:

[tex]\frac{20}{x} = \frac{60}{100}[/tex]

Again, cross products property tells us that x is [tex](100\cdot20)\div60[/tex], which is [tex]33.\overline{33}[/tex].

Hope this helped!

Answer:

80.385

Step-by-step explanation:

It requires you to use trigonometry. First, ask yourself, which of the angle relationship (between sin, cos, tan) that includes the triangle's "x" and "300", from the angle 15°.

It's tan, because in this case, tan 15° = x / 300.

You then set x = 300 tan 15°, type it on calculator, and voila you get the answer.

Answer:

Hey there!

Tangent 15=x/300

Tangent 15(300)=x

x=80.4

Let me know if this helps :)

Answer:

Sara has $144 at the beginning of the month.

Step-by-step explanation:

At the beginning of the month, x = 0 because no days have passed since the beginning of the month. When x = 0, g(0) = -4.5(0) + 144 = 144, therefore, we know that Sara has $144 on her card at the beginning of the month.

Answer:

-37

Step-by-step explanation:

[tex]a_{1}=-2\\a_{n}=2a_{n-1}-3\\a_{2}=2a_{1}-3=2(-2)-3=-4-3=-7\\a_{3}=2a_{2}-3=2(-7)-3=-14-3=-17\\a_{4}=2a_{3}-3=2(-17)-3=-34-3=-37[/tex]

Answer:

64°

Step-by-step explanation:

If two angles add up to give 90°, that are said to be complementary. One is a complement of the other.

Therefore, given that the measure of an angle, angle A = 26°, the measure of the complement of angle A = 90 - 26 = 64°.

The measure of the complement of angle A, is 64°.

Answer:

[tex]\huge \boxed{a = 2b + 6c}[/tex]

Step-by-step explanation:

b = 1/2a - 3c

Add 3c to both sides of the equation.

b + 3c = 1/2a - 3c + 3c

b + 3c = 1/2a

Switch sides.

1/2a = b + 3c

Multiply both sides of the equation by 2.

2(1/2a) = 2(b + 3c)

a = 2b + 6c

Step-by-step explanation:

[tex]b = \frac{1}{2} a- 3c[/tex]

Multiply both sides ✖ of the equation by 2

[tex]2b = a - 6c[/tex]

Move the variable to the left-hand side and change its sign

[tex] - a + 2b = - 6c[/tex]

MOVE THE VARIABLE TO THE RIGHT-HAND SIDE AND CHANGE ITS SIGN

[tex] - a = - 6c - 2b[/tex]

Change the sign on both sides of the equation

[tex]a = 6c + 2b[/tex]

Therefore the answer is

[tex]a = 6c + 2b[/tex]

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.

Answer:

129.168

Step-by-step explanation:

multiply- 140.40*0.08=11.232

subtract- 140.40-11.232= 129.168

Answer:

Step-by-step explanation:

Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.

2p - 3q = 4 ...................... 1 * 3

3p + 2q = 9 ..................... 2 * 2

Multiplying equation 1 by 3 and 3 by 2:

6p - 9q = 12

6p + 4q = 18

Subtracting both equation

-9q-4q = 12-18

-13q = -6

q = -6/-13

q = 6/13

Substituting q = 6/13 into equation 2

2p - 3(6/13) = 4

2p - 18/13 = 4

2p = 4+18/13

2p = (52+18)/13

2p = 70/13

p = 70/26

p = 35/13

Hence p = 35/13 and q = 6/13

b) If if 223ₓ = 87 find x

Using the number base system and converting 223ₓ  to base 2 will give us;

223ₓ = 2*x² + 2*x¹ + 3*x⁰

223ₓ  = 2x²+2x+3

​

Substituting back into the equation, 2x²+2x+3 = 87

2x²+2x+3-87 = 0

2x²+2x-84 = 0

x²+x-42 = 0

On factorizing:

(x²+6x)-(7x-42) = 0

x(x+6)-7(x+6) = 0

(x+6)(x-7) = 0

x+6 = 0 and x-7 = 0

x = -6 and 7

Hence the value of x is 7 (neglecting the negative value)

[tex]2\frac{7}9}[/tex]

[tex](-1\frac{2}{3})^{2}=(-\frac{5}{3})^{2}=\frac{-5^{2}}{3^{2}}=\frac{25}{9}=2\frac{7}9}[/tex]

Answer:

18/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply the monomial by each and every term of the polynomial

        = (3ax) (2x) - (3ax) (ax) + (3ax) (5)

 = 6ax^2 - 3a^2x^2 + 15ax

Answer:(2,16),(3,24),(4,32),(5,40)

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

===========================================

Explanation:

The angles 4x and 3x+10 are corresponding angles. They are on the same side of the transversal cut (above the transversal) and to the right of each parallel line.

If the corresponding angles are congruent, then line A is parallel to line B.

4x = 3x+10

4x-3x = 10

x = 10

Answer:

disposal earnings I think

Step-by-step explanation:

it is the legal deduction of money by the government I think

Answer:

-i, -1, i, 1

I think the previous answer is arranged in the order of correct answers, if that make sense. For example, next to -i, you would put 1.

Also, are you a member of Calvert? Because this layout looks familiar.

The required expressions with their correct simplest form, follow as:

1. (i³)⁵ = - i

2. - i⁶·i³·i⁵ = - 1

3. - (i)⁴·i⁰·i⁷ = 1

4.  (i⁵·i²·i⁸)⁰= 1  

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The expressions are given in the question, as follows:

1. (i³)⁵

= (i)¹⁵

= (i²)⁷ × i

As we know that i² = -1, where i is an imaginary number.

= (-1)⁷ × i

= (-1 ) × i

= - i

Similarly, further expressions are solved below.

2. - i⁶·i³·i⁵

= i⁶·i³·i⁵

=  (i)¹⁴

=  (i²)⁷

=  (-1)⁷

=  (-1)

= - 1

3. - (i)⁴·i⁰·i⁷

= - (i)¹¹

= - (i²)⁵ × i

= - (-1)⁵ × i

= - (-1 ) × i

= - (- i)

= 1

4.  (i⁵·i²·i⁸)⁰

= ((i)¹⁵)⁰

= 1

Thus, the required expressions with their correct simplest form in the above solution part.

Learn more about the complex numbers here:

brainly.com/question/19007885

#SPJ5

Answer:

CCCC!!!!!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A.

[tex]y=\sin(x^2+3x-1)[/tex]

[tex]\implies y'=\cos(x^2+3x-1)(x^2+3x-1)'=(2x+3)\cos(x^2+3x-1)[/tex]

B.

[tex]y=x^3+\sin x[/tex]

[tex]\implies y'=3x^2+\cos x[/tex]

[tex]\implies y''=6x-\sin x[/tex]

[tex]\implies y'''=6-\cos x[/tex]

C.

[tex]y=\left(x+\dfrac1x\right)^2[/tex]

[tex]\implies y'=2\left(x+\dfrac1x\right)\left(x+\dfrac1x\right)'=2\left(x+\dfrac1x\right)\left(1-\dfrac1{x^2}\right)=2\left(x-\dfrac1{x^3}\right)[/tex]

D.

[tex]y=(5x-2)^{-2}[/tex]

[tex]\implies y'=-2(5x-2)^{-3}(5x-2)'=-10(5x-2)^{-3}=\dfrac{10}{(2-5x)^3}[/tex]

Answer:

9/169

Step-by-step explanation:

JQK of 4 suits = 12 cards

12/52x12/52=

3/13x3/13=

9/169

Answer:

145

Step-by-step explanation:

Rate (no. of pages per hour)

= 87 ÷ 3

= 29

5 hours

= no. of pages per hour × 5

= 29 × 5

= 145

hope it helps :))