А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°

Answer:

An explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

[tex]-4, -8, -16, -32, ...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]

As the ratio 'r' is the same.

so

[tex]r=2[/tex]

as

[tex]a_1=-4[/tex]

Hence, the nth term of the sequence will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Therefore, an explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5

The quotient is 21. the correct answer is option 1) 21.

To find the quotient of 189 divided by 9, we divide 189 by 9.

When dividing 189 by 9, we find that 9 can be subtracted from 189 a total of 21 times without going into negative values. Therefore, the quotient is 21.

So, the correct answer is option 1) 21.

When we divide 189 by 9, the result is 21, which means that 21 is the number of times that 9 can be subtracted from 189 without remainder. The quotient represents the whole number part of the division, indicating the number of groups of 9 that can be formed from 189.

Learn more about quotient here

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Answer:

$232.75

Step-by-step explanation:

Because the tax takes 30% of his pay, he will be left with 70%.

Multiply his pay by 0.7 to get the answer:

332.50 * 0.7 = 232.75

Hope that helps! :D

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

Answer:

Our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Step-by-step explanation:

When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.

In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.

Therefore, we conclude that our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ [tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

I'm confused

Step-by-step explanation:

What am I suposed to do?

Answer:

The answer to your question is A.

Step-by-step explanation:

Answer:

The answer is the first one or 9.5

Step-by-step explanation:

This is because you need to use a^2+b^2=c^2

Plug in 9 and 3

To get 81+9

To get 90

Now find the square root of 90

It is around 9.48

Which is closest to 9.5

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-7, -4)

Point (2, -7)

Step 2: Find slope m

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Answer:

[tex]k=-3[/tex]

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

[tex]y=ax[/tex]

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

[tex]40=5a[/tex]

Divide both sides by 5:

[tex]a=8[/tex]

Therefore, our equation is:

[tex]y=8x[/tex]

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

[tex]-24=8k[/tex]

Divide both sides by 8:

[tex]k=-3[/tex]

Hence, the value of k is -3.

Answer:

3

Step-by-step explanation:

Looking at the first three values of the table- when the x increases by 1, the y increases by 3.

Answer:

It's 3, I believe.

Step-by-step explanation:

If it isn't I'll remove my answer so someone else can answer. :)

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.

Answer:

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

Cost of apple: $2 per pound

Answer:

10

Step-by-step explanation:

The X is 10

Answer:

k=-14

Step-by-step explanation:

Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

[tex]p=2\pi r[/tex]

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

[tex]r=r_{earth}+h[/tex]

where h is the height of the satellite, so the radius of the circle is:

[tex]r=22,300mi + 3,960 mi[/tex]

so

r=26,260 mi

so now we can use the perimeter equation to get:

[tex]p=2\pi r[/tex]

[tex]p=2\pi (26,260)[/tex]

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

Answer:

3n-6>5

3n>5+6

3n>11

n>11/3

n>3.6

Answer:

n < 1/3

Step-by-step explanation:

-3(n-2) > 5

-3n + 6 > 5

-3n > 5 - 6

-3n > -1

n > -1/-3 (flip the sign of the inequality because you divided by a negative number)

Hence, n < 1/3 OR n < 0.333

Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.

When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.

For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.

Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.

It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

Learn more about inequalities here:

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Answer:

18.18%

Step-by-step explanation:

Selling price of one coker = Rs.2574

If she loose 10% on one;

%loss = Cost price - Selliing price/cost price * 100

10 =Cp-2574/Cp * 100

10/100 = Cp-2574/Cp

0.1Cp = Cp-2574

0.1Cp - Cp = -2574

-0.9Cp =  -2574

Cp = 2574/0.9

Cp = Rs. 2860

Amount lost = 2860-2574 = Rs. 286

If she gains 10% on the second

%loss =Sp-Cp/Cp * 100

10 = 2574-Cp /Cp * 100

10/100 = 2574-Cp /Cp

0.1Cp = 2574-Cp

1.1Cp = 2574

Cp = 2574/1.1

Cp = Rs. 2340

Amount gained = 2340-2574 = Rs. 234

Total Loss = Amount lost - Amount gained

Total loss = 286 - 234

Total loss = Rs. 52

Total loss % = 52/286 * 100

Total loss % = 5200/286

Total loss % = 18.18%

Answer:

15 dimes

Step-by-step explanation:

6 quarter = 1.50$

150 / 10 = x amount of dimes

X amount of dimes = 150$

15 dimes = 1.50$

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

6 quarters is in total 1.50, so youll need a total of 15 dimes in order to have the same amount of 6 quarters

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

−5

Step-by-step explanation:

Answer:

y=2/7x+-9

Step-by-step explanation:

I need to go soon

Answer:

y=2/7x-9

Step-by-step explanation:

Goes to the right by 7 units, and goes up by two so 2/7. Line intercepts at -9.

Answer:

The third answer choice

Step-by-step explanation:

-3(x+2) < 5x+10

-3x-6 < 5x+10

-3x-5x < 10+16

-8x < 16

x < -2

9514 1404 393

Answer:

  The sequence 18

Step-by-step explanation:

After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).

The digits 18 will repeat until Nolan gets tired.

Answer:

Step-by-step explanation:

just add

3.17

1.15

2.26

-------

 7. 48 lbs

im pretty sure