Find the slope of the line passing through the points (-5,2)
and
(-8,8).

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer:

x represents the number of level 1 tickets; y represents the number of level 2 tickets

Step-by-step explanation:

The first equation (x + y = 1,000 ) shows that x + y equal to the number of seats in the auditorium. That means that they represent the number of tickets. In the second equation (75x + 100y = 25,000) x and y are being multiplied by the cost of their level ticket. So x represents the number of level 1 tickets; y represents the number of level 2 tickets.

hope this helps!

Answer:

8.97 x \(10^{6}\)

Step-by-step explanation:

To add in scientific notation, the exponents need to be the same for the bases of 10.  You can either make them both to the exponent of 6 or 5.  It does not matter.  I made them both to the power of 5

(8.6 x \(10^{6}\)) + (3.7 x \(10^{5}\))

(86 x \(10^{5}\)) + (3.7x\(10^{5}\))  

(86 x 3.7) x \(10^{5}\)

89.7 x\(10^{5}\)  Rewrite in scientific notation

8.97 x \(10^{6}\)

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

Step-by-step explanation:

First sentence

Let the number be X

second sentence

X-5

Third sentence

X-5=14

X=19

The number is 19

Hi there!  

»»————-　★　————-««

I believe your answer is:

19

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\text{"I am thinking of a number. l take away 5. The result is 14."}\\\\\text{5 taken away from 'said number' would be 14.}\\\\\boxed{n-5=14}\\\\\\\boxed{\text{Solving for 'n'...}} \\\\\rightarrow n - 5 + 5 = 14 + 5\\\\\rightarrow \boxed{n = 19}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

(f-g) (x) = 2x – 1 - log(x)

Step-by-step explanation:

f(x) = 2x – 1

g(x) = log x

We are given the two function and want to subtract g(x) from f(x)

(f-g) (x) = 2x – 1 - log(x)

Answer:

Step-by-step explanation:

angle x and y=2x=90-24

2x=66

x=33

angle3=33+24

=57

angle4=33

The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.

In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.

This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.

In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.

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Answer:

Solution given:

x+4y=8.......[1]

since slope intercept form is:

y=mx+c where m=slope and c=constant

making equation 1 in slope intercept form:

x+4y=8

4y=8-x

y=\(\frac{-x+8}{4}\)

y=-¼x+2

comparing above equation with y=mx+c we get

m=-¼

So slope is -¼.

Answer:

x = 6

Step-by-step explanation:

we both know you dont wanna know how you just want the answer

Answer:

x = 27 ; y = 35

Step-by-step explanation:

Amount to spend = 3495

Let : Number of basketball = x ; number of football = y

Cost per basketball = $75

Cost per football = $42

75x + 42y = 3495

We could insert reasonable values into x and y

Using the trial and compare option :

x = 27 ; y = 35

Compare :

75x + 42y = 3495

75(27) + 42(35) = 3495

2025 + 1470 = 3495

Answer:

Yes

Step-by-step explanation:

Well to figure out if 210879 is divisible by 3 we do,

210879 / 3

= 70 293.

Thus,

210879 is divisible by 3.

Hope this helps :)

Answer: Yes

Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.

Image is provided below.

The divisibility rules tell us that if the sum of the digits is divisible by 3,

then the number is also divisible by 3.

So since 27 is divisible by 3, 210,879 must also divisible by 3.

So our answer is yes, 210,879 is divisible by 3.

Calculating this using a calculator or spreadsheet software, we get:

Salary after year 7(including the interest rate) = $92,378.41

The interest rate serves as a barometer for both the cost of borrowing and the benefits of saving. You will be required to pay interest if you are a borrower, which is calculated as a percentage of the total loan amount.

Since the employee receives a 4% raise once per year, the new salary each year will be:

New salary = Old salary + 4% of old salary

We can simplify this to:

New salary = Old salary x (1 + 0.04)

So, after the first year, the employee's salary will be:

Salary after year 1 = $70,200.00 x (1 + 0.04) = $73,008.00

After the second year, the employee's salary will be:

Salary after year 2 = $73,008.00 x (1 + 0.04) = $75,928.32

And so on, for each year up to year 7. To find the employee's salary after 7 years, we can use the same formula:

Salary after year 7 = $70,200.00 x (1 + 0.04)^7

Calculating this using a calculator or spreadsheet software, we get:

Salary after year 7 = $92,378.41

Therefore, the employee's salary after 7 years will be $92,378.41.

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Answer:

L = 53.37 cm

Step-by-step explanation:

We have the relationship

M ∝ L³

We can rewrite this as an equation:
M = k · L³

where k, a constant, is known as the constant of proportionality

Given M = 100 kg when L = 20, we get

100 = k · 20³

100 = k · 8000

k = 100/8000 = 0.0125

If M = 1900 kg and k = 0.0125 we can plug in these values to get

1900 = 0.0125 L³

==>  L³ = 1900/0.0125

==> L³ = 152000

Therefore L = ∛152000

L = 53.36803 or

L = 53.37 cm  rounded to 2 DP

Answer:

380.00

Step-by-step explanation:

M=KL

100=20K

K=5

M=5L

1900=5L

L=380

The ratio is 2 : 3 and the missing values are 5 and 7.5

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

The table of values

On the table of values, we have

Red : Green = 2 : 3

The above is the ratio gotten from the first entry

This means that the ratio is 2 : 3

For the missing values, we have

Red = 2 + 3 = 5

Green = 3 + 4.5 = 7.5

Hence, the missing values are 5 and 7.5

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Answer:  220

Step-by-step explanation:

A- 22.50 x 12 = 270

B- 12.50 x 12 = 150

C- 270 + 150 - 200 = 220

ANSWER- 220

To find $\sin(a+b)$ when given $a$ in quadrant III and $b$ in quadrant IV, we can use trigonometric identities and the sign conventions of the trigonometric functions.

We are given that $4\tan a=-3$, which means $\tan a=-\frac{3}{4}$. Since $a$ is in quadrant III, we know that $\cos a<0$ and $\sin a<0$. Therefore, we can draw a right triangle in quadrant III with opposite side $-3$, adjacent side $-4$, and hypotenuse $5$. This triangle has $\sin a=-\frac{3}{5}$ and $\cos a=-\frac{4}{5}$.

We are also given that\($\cos b=\frac{4}{5}$\), which means $\sin^2 b=1-\cos^2 \(b=\frac{9}{25}$.\) Since $b$ is in quadrant IV, we know that $\sin b>0$. Therefore, we can draw a right triangle in quadrant IV with opposite side $3$, adjacent side $4$, and hypotenuse $5$. This triangle has $\sin b=\frac{3}{5}$ and $\cos b=\frac{4}{5}$.

Using the angle addition formula for sine, we get:

\(sin⁡(�+�)=sin⁡�cos⁡�+cos⁡�sin⁡�=(−35)(45)+(−45)(35)=−2425\)

sin(a+b)=sinacosb+cosasinb=(−

\(53​ )( 54​ )+(− 54​ )( 53​ )=− 2524​\)

Therefore \(, $\sin(a+b)=-\frac{24}{25}$.\)

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Answer:

-4 is the slope (m)

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The answer is (d) 0.0025

The probability of a single student getting a Z is 0.05. To find the probability of two students picked independently of each other and at random both getting a Z, we multiply the probability of one student getting a Z by the probability of the other student getting a Z:

0.05 x 0.05 = 0.0025

Therefore, the answer is (d) 0.0025.
Hi! To answer your question, we will use the given grade distribution and the concept of independent probabilities.

The probability of one student getting a Z is 0.05. Since the two students are picked independently and at random, we can multiply the probabilities of each student getting a Z to find the probability of both students getting a Z.

Probability (both students get a Z) = Probability (Student 1 gets a Z) * Probability (Student 2 gets a Z)

= 0.05 * 0.05

= 0.0025

So, the probability that two students picked independently and at random both get a Z is 0.0025, which corresponds to option d.

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MOV EBX,EAX

SHL EAX,4

SHL EBX,1

ADD EAX,EBX these are the  series of instructions that will multiply eax by 18, using a combination of shift, mov, and add instructions.

STEPS:

1. Copy EAX into another register, say EBX

2. We know that shift left by 'n' bits results in multiplication with 2^'n' , so perform shift left operation of EAX by 4 bits ( results in multiplication of EAX with 16) and perform shift left operation of EBX by 2 bits(results in multiplication of EBX with 2)

3. Now add EAX and EBX which is the required answer ( Since, i*16 + i*2 equals to i*18 )

INSTRUCTIONS:

mov ebx,eax ; make copy

shl eax,4 ; eax * 16

shl ebx,1 ; ebx * 2

add eax,ebx ; answer

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Hope this helps, have a nice day!!

Answer: x=10

Step-by-step explanation:

sum of all the angles inside triangle is equal to 180degrees.

First angle: 9x-16

Second angle: 7x-5

Third angle: 3x+11

let's sum this angles:

9x-16+7x-5+3x+11=19x-10=180

19x=180+10=190

x=190/19=10

Solve each equation to see if the left side equals the right side.

The answer would be C because when solved it becomes -4 = -8 which is false.

The area of the composite figure is the sum of the area of all rectangle which 700cm²

To find the area of the composite figure, we need to divide the figure into small parts and the find the area.

In this problem, we can divide the figure into different rectangular parts

Area of a rectangle; length * width

1. A = L * W = 10 * 5 = 50 cm²

2. A = L * W = 10 * 5 = 50 cm²

3. A = L * W = 20 * 30 = 600cm²

The area of the composite figure is the sum area of the rectangles.

A = 50 + 50 + 600 = 700cm²

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The formula for the circumference of a circle can be derived from the concept of the circle's diameter and π (pi).

The circumference of a circle is defined as the distance around its outer edge. To derive the formula, we first need to understand that the diameter of a circle is the distance across it, passing through the center. It is equal to twice the radius (the distance from the center to any point on the circle).

Now, if we take the ratio of the circumference to the diameter for any circle, we find that this ratio is always constant, regardless of the size of the circle. This constant ratio is denoted by the Greek letter π (pi), which is approximately equal to 3.14159. Therefore, we can express the circumference of a circle as C = πd, where C represents the circumference and d represents the diameter. Alternatively, we can use the radius (r) and express the formula as C = 2πr. These formulas allow us to calculate the circumference of a circle based on its diameter or radius.

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Taking the limit as n \to \infty, we obtain 0 \leq b \leq 0 + 0 = 0, so the value of b = 0.

Let \(\epsilon > 0\) be given.

We need to find N such that n \geq N implies |b_n| < \epsilon.

Now b_n = |a_{n+1} - a_n| \leq |a_{n+1}| + |a_n| for all n.

Let M = \max\{|a_1|, |a_2|, |a_3|, \ldots, |a_N|, 1\}.

We first claim that |a_n| \leq M + 1 for all n. This is true for n = 1, 2, 3, \ldots, N, since each of these terms is either a_1, a_2, a_3, \ldots, a_N or 1.

Suppose the claim is true for all \( n \leq k\). Then

|a_{k+1}| = |a_k + 2a_{k-1}| \leq |a_k| + 2|a_{k-1}| \leq (M + 1) + 2M

= 3M + 1 .

This completes the induction and shows that |a_n| \leq M + 1 for all n.

Now suppose n \geq N. Since the intervals I_n are nested and closed, we have a_n \in I_n for all n.

Thus |a_{n+1} - a_n| = b_n \in I_{n+1} \subseteq I_N.

In other words, b_n is bounded by M + 1 and lies in I_N. Hence, by the Nested Interval Property, there exists a unique number b such that b_n \to b as n \to \infty.

We claim that b = 0. To prove this, we show that b \geq 0 and b \leq 0. Since b_n \geq 0 for all n, it follows that b \geq 0.

On the other hand, we have 0 \leq b_n \leq a_{n+1} + a_n for all n.

Taking the limit as n \to \infty, we obtain 0 \leq b \leq 0 + 0 = 0.

Therefore, b = 0.

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Answer:

Im kind of confused if I rewrite or find the y and x intercept to this equation but I hope this helps.

if you can please give me brainliest.

Answer:

The interest rate is 20%.

Step-by-step explanation:

In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:

$200 -> 100%

$40 -> x%

200/40 = 100/x

200*x = 40*100

200*x = 4000

x = 4000/200 = 20

The interest rate is 20%.

Answer:

No

Step-by-step explanation:

A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.