O Mark this ques Which statement explains what the slope tells you about the variables in this graph? LIFE EXPECTANCY VERSUS YEARS OF DRUG ABUSE 90 80 70 60 50 40 30 20 10 0 10 Years of Drug Abuse O T

The percentage of 322 out of 450 using the percentage formula was found out to be approximately 71.56%.

To find the percentage of 322 out of 450, we can use the following formula:

percentage = (part/whole) x 100

where, "part" is the value we want to express as a percentage (in this case, 322), "whole" is the total value (in this case, 450), and "x" means "multiply".

Using the formula mentioned above, we get:

percentage = (322/450) x 100

percentage = 0.7156 x 100

percentage = 71.56%

Therefore, percentage of 322 out of 450 is approximately 71.56%.

A percentage is a way to express a number as a fraction of 100. It is often denoted using the "%" symbol.

Learn more about percentage here brainly.com/question/16797504

#SPJ4

Answer:A.8

Step-by-step explanation:The distance from the centre to a point on the circle is the radius.

Calculate radius r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, - 2)

r =

 =

 =  = 8 → A

Answer:

x=4 i did math

Step-by-step explanation:

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

Learn more about the alternative interior angles -

https://brainly.com/question/20344743

82 students attended the dance.

In algebra, an equation can be expressed as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

An equation is defined as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are said the "left-hand side" and "right-hand side" of the equation. Assuming this does not reduce the generality, this can be realized by subtracting the right-hand side from both sides.

According to the given problem,

Let the number of students be x,

2.50x + 120 = 325

⇒ 2.5x = 325 - 120

⇒ 2.5x =   205

⇒ x = 82

Hence, 82 students attended the dance.

Read more about the equation:

https://brainly.com/question/17145398

#SPJ4

Answer:

1) A term is a number, variable, or group of variables with coefficients.Terms are separated by a + = - ÷ or x sign.

The degree of a term is the exponent the term is raised to.

The degree of a polynomial is the highest exponent any of the terms in the polynomial is raised to.

2) Number of terms is 3. The degree of the polynomial is 5

3) A composite function is a function that has another function substituted into it.

Step-by-step explanation:

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

To learn more about partial derivatives click here : brainly.com/question/28750217

#SPJ11

The midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₋/2 )

Given the coordinate points( -3, 8) and (2, -4)

Substitute

M(x, y) = (-3+2/2, 8-4/2)

M(x, y)= (-1/2, 4/2)

M(x, y) =(-0.5, 2)

Hence the midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

Learn more on midpoint of coordinate here:

#SPJhttps://brainly.com/question/55664191

Answer:

5

Step-by-step explanation:

The whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B).

It is given that the ratio is,

(10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹)

We have to apply the arithmetic operation for the given ratio in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

\(=\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} \\\\ =\frac{10^{2000}(1+100)}{10^{2000}(10+10)} \\\\ =\frac{101}{20} \\\\=5\)

Thus, the whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism

The correct response is B. 8. The largest of these three integers is 8.

Zero, a positive natural number, and a negative integer denoted by a minus sign are all examples of integers. The negative numbers are the inverse additions of the comparable positive numbers. 0 is an integer because it may be expressed as a full number with no remainder. True. Whole numbers are defined as 0, 1, 2, 3, 4, and so forth. Positive integers are produced when two positive numbers are added as opposed to two negative integers, which results in a sum with a negative sign. The outcome of subtracting two separate signed integers, with the sign of the result matching that of the larger number, is always subtraction.

Let the three consecutive integers be x,(x+1),(x+2)

About the issue, we have

4x=3(x+2)

∴4x=3x+6

∴4x−3x=6

∴x=6

The biggest number will be (x+2)=6+2=8

Learn more about integers here

https://brainly.com/question/929808

#SPJ4

The smallest of the three consecutive integers is 6. The largest of these integers is 8. Therefore, the answer is B. 8.

The problem involves finding three consecutive integers such that four times the smallest is three times the largest. To solve the problem, we first let x be the smallest integer. Then, the next two consecutive integers are x+1 and x+2. Using the given information, we can set up an equation and solve for x. Simplifying the equation yields x=6, which means the three consecutive integers are 6, 7, and 8.

Let's call the smallest of the three consecutive integers "x". Then, the next two consecutive integers are x+1 and x+2.

From the given information, we can set up the following equation:

4x = 3(x+2)

Simplifying and solving for x, we get:

x = 6

Therefore, the three consecutive integers are 6, 7, and 8, and the largest of these three integers is 8. So, the answer is:

B. 8

Learn more about integers here: brainly.com/question/15276410

#SPJ4

Answer:

sorry but I can understand

The correct answer is (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05.To determine if there is convincing statistical evidence of a difference between the two groups of residents in their opposition to the banning of trans fats, we can conduct a hypothesis test for the difference in population proportions.

The null hypothesis (H0) states that there is no difference between the two population proportions, while the alternative hypothesis (Ha) states that there is a difference.

To conduct the test, we calculate the sample proportions of opposition to the banning of trans fats in each group. In the group with school-age children, the sample proportion is 94/230 = 0.409, and in the group without school-age children, the sample proportion is 147/341 = 0.431.

Next, we calculate the standard error of the difference between the sample proportions using the formula:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

After calculating the standard error, we calculate the test statistic, which follows an approximately normal distribution when the sample sizes are large. The test statistic is given by:

test statistic = (p1 - p2) / SE

Using a significance level of 0.05, we compare the test statistic to the critical value from the standard normal distribution.

If the test statistic falls outside the critical region, we reject the null hypothesis and conclude that there is convincing statistical evidence of a difference between the two population proportions. Otherwise, we fail to reject the null hypothesis.

In this case, the correct answer is (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05.

To Know more about  null hypothesis Visit:

https://brainly.com/question/33666276

#SPJ11

Answer:

40000 and 12.5% respectively

Step-by-step explanation:

soln:

given,

cost price(c.p)=320000

selling price(s.p)=280000

loss(l),loss percentage(l%)=?

we know,

l=c.p-s.p

or,l=320000-280000

•°•l=40000

now,

l%=l/c.p*100%

or,l%=40000/320000*100%

•°•l%=12.5%

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

To learn more about Accelation , refer:

https://brainly.com/question/10307723

#SPJ4

The height of the cone is increasing at a rate of 16/9 units per second when the volume is 12 pi cubic units and the radius is 3 units.

To find the rate at which the radius is changing when the volume of the cone is 12 pi cubic units and the radius is 3 units, we can use related rates.

Given:
- Volume rate of change: dv/dt = 28 pi cubic units per second
- Radius: r = 3 units
- Volume: V = 12 pi cubic units
- Radius rate of change: dr/dt = 1/2 unit per second

We can use the formula for the volume of a cone: V = (1/3) pi r^2 h, where h is the height of the cone.

Since we only have the radius, we need to find the height in order to calculate the rate of change of the radius.

Given that the radius is 3 units, we can use the formula for the volume to solve for the height:
12 pi = (1/3) pi (3^2) h

Simplifying the equation, we get:
12 = (1/3) * 9 * h
h = 12 / (1/3 * 9)
h = 4

Now, we can differentiate the volume equation implicitly with respect to time (t) to find the relationship between the volume and radius rates of change:

dV/dt = (1/3) pi * (2r * dr/dt) * h + (1/3) pi * r^2 * dh/dt

Plugging in the given values:
28 pi = (1/3) pi * (2 * 3 * (1/2)) * 4 + (1/3) pi * (3^2) * dh/dt

Simplifying the equation, we get:
28 = 12 + 9 * dh/dt
dh/dt = (28 - 12) / 9
dh/dt = 16/9

Learn more about radius here :-

https://brainly.com/question/12923242

#SPJ11

Answer:

A burrito costs 2.8 dollars.

Step-by-step explanation:

3b + 2t = 11

1b + 4t = 8

b = 14/5, t = 13/10

14/5 as a mixed number is 2 4/5

4/5 of a dollar is 80 cents.

So b = 2.8

A burrito costs 2.8 dollars.

Answer:

8 cm

Step-by-step explanation:

Because A=a*a

Area equals length times length

So, 8 is the length

64 divided by some number must equal the exact same number. Let me show what I am talking about.

Our length is a. We multiply a times itself (because that's the formula for the square's area)

Does this number exist?

Yes, it does.

And it's a whole number.

And we know from our times tables that 8*8=64

Hope it helped you

Answer:

8 cm

Step-by-step explanation:

please mark me as brainliest

The equation's remaining constant is the answer if the variable term eventually equals zero and the equation can be said to be true.

By isolating the variable on one side of the equation, we can arrive at a numerical value that satisfies the equation. However, in rare circumstances, the variable term may become zero while the equation is being simplified.

When a common factor is eliminated or an expression containing the variable is simplified, this can take place. The equation has a solution, and that solution is the constant value left over if, after removing the variable element, we arrive at a true assertion.

This is due to the equation's ability to be simplified to a declaration of equality between two constants if the variable term is zero. The constant value is the answer to the equation if the aforementioned assertion is accurate.

Learn more about equations here:

https://brainly.com/question/29538993

#SPJ4

Answer:

y=3^x

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

\(XY+YZ=XZ\\\\3a+14=5a-4\\\\14=2a-4\\\\18=2a\\ \\ a=9\\\\\implies XY=3(9)=27\)

The temperature in degrees celcius in which bacteria cannot survive is greater than 3.66

This is a way of representing a variable with another

Given the inequality below;

q/5 C + 32 ≥ 120

Substitute C = 120oF

q/5(120) + 32  ≥ 120

24q + 32 ≥ 120

24q  ≥ 120 - 32

24q  ≥ 88

q ≥ 88/24

q ≥ 3.66

Hence the temperature in degrees celcius in which bacteria cannot survive is greater than 3.66

Learn more on inequality here: https://brainly.com/question/24372553

#SPJ1

The distance that the bus travels between Hawkes Meadow and Brunswick Street is; 7.3 km

The formula for distance here is;

Total distance = Speed * Time

Now, we are given the speed as 29 km/hour

Now, we want to find the total distance between Hawkes Meadow and Brunswick Street.

The time between Hawkes Meadow and Brunswick Street from the attached table is 14:40 - 14:25 = 15 minutes.

Converting to hours = 15/60 = 1/4 hours

Thus;

Total distance = 29 * 1/4 ≈ 7.3 km

Read more about Total Distance at; https://brainly.com/question/4931057

#SPJ1

The number of different selections possible if at least 3 balls must be blue is 35


1. Calculate the total number of possible selections (6 red + 7 blue = 13 total): 13C4 = 715
2. Calculate the number of possible selections that have fewer than 3 blue balls: 6C4 = 15
3. Subtract the number of possible selections with fewer than 3 blue balls from the total number of possible selections: 715 - 15 = 700
4. Divide the answer by the number of selections with exactly 3 blue balls: 700/7 = 100
5. Multiply the result by the number of selections with exactly 4 blue balls: 100 * 7 = 700
6. Finally, subtract the number of selections with 4 blue balls from the total number of possible selections: 715 - 700 = 35

See more about the number at: https://brainly.com/question/28065038

#SPJ11

Answer:

Example 2:

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

Answer:

y= -1/2x -5

Step-by-step explanation:

in slope intercept form

Answer:

y=-1/2x-5

Step-by-step explanation:

Hope it helps!

The statement that is most important in gathering data for use in statistical analysis is option (a) Both efficiency and effectiveness are important when gathering data

Option a. Both efficiency and effectiveness are important when gathering data is the most appropriate answer.

Efficiency refers to the ability to gather data quickly and with minimal resources, while effectiveness refers to the ability to gather accurate and relevant data that is suitable for the intended analysis. Both of these factors are crucial in gathering data for statistical analysis.

Option b. The data should always be discarded immediately after gathering is incorrect because data is usually retained for further analysis and is not discarded immediately after gathering.

Option c. The data should be gathered in an effective manner is partially correct, but it does not address the importance of efficiency in the data gathering process.

Option d. The data should be gathered in an efficient manner is also partially correct, but it does not address the importance of effectiveness in the data gathering process.

Therefore, the correct option is (a) both efficiency and effectiveness are important when gathering data

Learn more about gathering data here

brainly.com/question/9964007

#SPJ4