Sketch the graph of, 3x - 4y = 16.​

Answer:

-3

Step-by-step explanation:

To find the answer, you need to use the formula y2-y1/x2-x1.

2-17/2-(-3)

2-17=-15

2-(-3)=5

-15/5=

-3

Hope this helps :D

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

b = 4

Step-by-step explanation:

4/6 is equivalent to 2/3, so with the slopes and y-intercepts being the same, there will be infinitely many solutions

Answer: \(y = -\frac{1}{2} x -8\)

Step-by-step explanation:

Going to build the equation in slope-intercept form, let me know if you need another form :)

Slope intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Simply plug in the slope for m to get: y = -1/2x + b.

Then simply plug in the point to get:

-6 = -1/2(-4) + b

-6 = 2 + b

b = -8

y = -1/2x -8

Hope it helps :)

Answer:

c) alternate hypothesis

Step-by-step explanation:

Answer:

An alternate hypothesis is a statement about a population parameter that is accepted when the null hypothesis is rejected. ... A test statistic is a value determined from sample information collected to test the null hypothesis

Step-by-step explanation:

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.

When dividing a number by 10, the decimal point is moved one place to the left.

What is the arithmetic operation?

Arithmetic operations involve the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

When dividing a number by 10, the decimal point is moved one place to the left.

For example, if we divide 345.67 by 10, the result is 34.567.

Similarly, if we divide 345.67 by 100, the result is 3.4567.

If we divide 345.67 by 1000, the result is 0.34567.

In general, if we divide a number by 10^n (where n is a positive integer), the decimal point is moved n places to the left.

For example, if we divide 345.67 by 10^4, the result is 0.034567.

Hence, When dividing a number by 10, the decimal point is moved one place to the left.

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Step-by-step explanation:

now, really !

you don't know, if 0 is larger than 16.4 or smaller than -16.4 or ... ?

0 is right between any negative and positive numbers. in integer view between -1 and +1.

0 is therefore larger than any negative number, and smaller than any positive number.

and -0 = +0 = 0

so, I hope, the position of 0 on the line of all numbers is now clear.

and it is also clear that when you multiply 0 with something else, the result is always 0. right ?

so, of course,

a

is correct.

0 is not greater than 16.4 (kills b and c).

0 is not smaller than -16.4 (kills d).

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

17.91

Step-by-step explanation:

8.79+2.59+2.99+3.54

=17.91

sry if wrong

the total is 8.79+2.59+1.99=14.37

Answer:

F. 4d + h + 2f

Step-by-step explanation:

have a good day!

Answer:

F. 4d + h + 2f

Step-by-step explanation:

There are 4 drinks (4d)

2 Fries (2f)

And 1 Hamburger (h)

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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The simplified form of the given expression as a fraction is 7x/x-7

Fractions  are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the expression below;

(1/7+1/x)/(1/49+1/x²)

Find the LCM to have:

(x+7/7x)/(x²-49)/49x²

Divide to have:

x+7/7x * 49x²/(x²-49)

(x+7) * 7x/(x+7)(x-7)

Cancel out the like terms to have:

1 * 7x/x-7

= 7x/x-7

Hence the simplified form of the given expression as a fraction is 7x/x-7

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Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

The lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we know, the slope formula is:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

A (- 3, 10) and (1, 2)

m = (2-10)/(1+3)

m = -8/4 = -2

y = mx + c

y = -2x + c

Plug (- 3, 10)

10 = -2(-3) + c

c = 10 - 6 = 4 (positive y-intercept)

Similarly, for the other points:

B (- 1, 6) and (0, 2)

y = -4x + 2 (positive y-intercept)

C (1, 2) and (3, 4)

y = x + 1 (positive y-intercept)

D (0, - 4) and (3, - 2)

y = 0.667x - 4 (negative y-intercept)

E (3, 1) and (5, 2)

y = 0.5x -0.5 (negative y-intercept)

Thus, the lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

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Answer:

-1

Step-by-step explanation:

the slope of the line is given by the equation m=(y2-y1)/(x2-x1)

here the line passes with the coordinate (-2,0),(0,-2)

m=(-2-0)/(0-(-2))

 = -2/2

 = -1

Let R be the minutes Tisha runs and W be the minutes Tisha walks. Since she requires 24 minutes to do 6 laps running and 3 laps walking, we have the following equation:

Now, when she requires 20 minutes to do 6 laps running and 2 laps walking, we have:

So, we have the following system of equations:

We are going to solve it by elimination. Notice that the coefficients of R are the same, so we just have to multiply one equation by -1 and add it altogether to the other equation:

Then:

Now we use the value W=4 to find R:

Therefore, it takes Tisha to complete a lap 2 minutes if she's running and 4 minutes if she's walking.

For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.

What is Compound interest?

Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.

Now,

The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.

The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is

P(x) = pˣ (1-p)ⁿ⁻ˣ

where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.

The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is

FV = PV x (1 + r/n)ⁿˣ

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.

While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.

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The binomial probability mass function formula and the compound interest formula are not directly related to each other.

The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:

A = P * (1 + r/n)^(nt)

where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.

While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.

The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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Answer:

x=1.4

Step-by-step explanation:

Write the equation

\(\frac{5.6}{x} =4\)

Multiply both sides by x

\(5.6=4x\)

Divide both sides by 4

\(1.4=x\)

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The value of x is 1.4 when z = 4.0 and y = 5.6.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given the equation as:

z = y/x

z = 4.0 and y = 5.6

To determine the value of x

⇒ z = y/x

Multiply by x on both sides

⇒ xz = y

Substitute the values z = 4.0 and y = 5.6

⇒ x(4) =(5.6)

Divide both sides by 4

⇒ x = (5.6)/(4)

⇒ x = 1.4

Hence, the value of x is 1.4 when z = 4.0 and y = 5.6.

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Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

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Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Answer:

  256

Step-by-step explanation:

The revenue from the sale of n tickets at $38 each is given as ...

  38n = 9728 . . . . total sales from special event tickets

Dividing by the coefficient of n gives the number of tickets:

  n = 9728/38 = 256

256 tickets were sold for the special event.

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean score of in-state applicants

x2 = sample mean score of out-of-state applicants

s1 = sample standard deviation for in-state applicants

s2 = sample standard deviation for out-of-state applicants

n1 = number of in-state applicants

n2 = number of out-of-state applicants

For a 90% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (8 - 1) + (17 - 1) = 23

z = 1.714

x1 - x2 = 1144 - 1200 = - 56

Margin of error = z√(s1²/n1 + s2²/n2) = 1.714√(25²/8 + 26²/17) = 18.61

Confidence interval = - 56 ± 18.61

Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

Answer:x=cost per pound of meat

Y=Cost per pound of cheese

The deli charges 4.50 for a pound of meat

Step-by-step explanation:

Answer:

The variable x represents the

✔ cost per pound of meat

.

The variable y represents the

✔ cost per pound of cheese

.

The deli charges $

✔ 4.50 for a pound of meat

.

Step-by-step explanation: