2) Choose the letter of the equation that best represents the problem. *

A meteorologist measured the average rainfall received in Cities A and B. Both cities received

11inches of rainfall in total. While City A received x inches of rain, City B experienced three times

the amount of rainfall than City A.

Answer:

24

Step-by-step explanation:

To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.

Answer: 2 complex solutions; the discriminant is less than zero

Step-by-step explanation:

When the D<0 there are no real solutions because the quadratic does not intercept the x-axis on the graph.

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

To know more about roots go through:-

https://brainly.com/question/428672

#SPJ4

The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

The function f1(x) would be f1(x) = 1 - 2x + 3x² - 4x³ + 5x⁴.

Based on the given information, it looks like we have a bounded sequence of numbers (an) and we're asked to define a function fn(x) for each natural number n and number x.
The function fn(x) is defined as fn(x) = a0 + a1x + a2x² + ... + anxⁿ, where a0, a1, a2, ... , an are the terms of the bounded sequence (an).
So for example, if the sequence (an) is {1, -2, 3, -4, 5}, then the function f1(x) would be f1(x) = 1 - 2x + 3x² - 4x³ + 5x⁴.
It's important to note that since the sequence (an) is bounded, the function fn(x) will also be bounded for any natural number n and any x. This means that the range of fn(x) will be finite, and there will be both an upper bound and a lower bound for the values that fn(x) can take.

To know more about Function visit:

https://brainly.com/question/10500042

#SPJ11

Answer:

a

Step-by-step explanation:

The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Interpreting the scatterplot, it is found that the correct option is:

Springside weakens the correlation shown in the scatterplot.

Springside weakens the correlation shown in the scatterplot.

A similar problem is given at https://brainly.com/question/13961820

The given statement that the analysis of regression is used to test the significance of a linear regression equation based on a sample of n is TRUE.

 What is linear regression?

Linear regression analysis is used to predict the value of a variable based    on the value of another variable.

TRUE ,The significance of a linear regression equation based on a sample of n data points is examined using an analysis of regression, which tests the null hypothesis that the coefficients of the regression equation are equal to zero.

To learn more about linear regression from the given link

https://brainly.com/question/26755306

#SPJ4

This is the derivative of x with respect to y, given the equation y^4 - 5x^3 = 7x.

The equation relating x and y is y^4 - 5x^3 = 7x. Using implicit differentiation, we can find the derivative of x with respect to y.

Taking the derivative of both sides of the equation with respect to y, we get:

d/dy (y^4 - 5x^3) = d/dy (7x)

Differentiating each term separately using the chain rule, we have:

4y^3(dy/dy) - 15x^2(dx/dy) = 7(dx/dy)

Simplifying the equation, we have:

4y^3(dy/dy) - 15x^2(dx/dy) - 7(dx/dy) = 0

Combining like terms, we get:

(4y^3 - 7)(dy/dy) - 15x^2(dx/dy) = 0

Now, we can solve for dx/dy:

dx/dy = (4y^3 - 7)/(15x^2 - 4y^3 + 7)

This is the derivative of x with respect to y, given the equation y^4 - 5x^3 = 7x.

Learn more about differentiation here:

https://brainly.com/question/31383100

#SPJ11

Answer:

10.6 units

Step-by-step explanation:

Answer:

AB=36

Step-by-step explanation:

BC=AC

AB=√(AC²+BC²)=√[(18√2)²+(18√2)²]=√(2×18²×2)=2×18=36

Answer:

14.49

Step-by-step explanation:

The volume of the balloon is 32π/3 ft³, and the rate at which the surface area is increasing is 16π square feet per minute.

The volume V of a balloon is given as V = (4/3)πr³, where r is the radius of the balloon.

Differentiating both sides of the equation concerning time t, we get

dV/dt = 4πr²(dr/dt).

Here, dV/dt represents the rate at which the volume is changing, which is 4 ft³/min as given in the problem.

the volume is 32π/3 ft³, we can substitute these values into the equation

4 = 4πr²(dr/dt)

To simplifying, we have

r²(dr/dt) = 1/π

The surface area A of a balloon, we can use the formula

A = 4πr².

Differentiating both sides of the equation concerning time t, we get dA/dt = 8πr(dr/dt).

We need to find dA/dt when V = 32π/3 ft³.

From the volume formula, we know that V = (4/3)πr³. Setting V = 32π/3, we can solve for r

(4/3)πr³ = 32π/3

r³ = 8

r = 2

Now, substitute r = 2 into the equation for dA/dt

dA/dt = 8π(2)(dr/dt)

Substituting the value of dr/dt from earlier

dA/dt = 8π(2)(1/π)

dA/dt = 16π

Therefore, when the volume of the balloon is 32π/3 ft³, the rate at which the surface area is increasing is 16π square feet per minute.

To know more about surface area click here :

https://brainly.com/question/10254089

#SPJ4

Answer:

x = 24

Step-by-step explanation:

\( \sqrt{x - 8} - 3 = 1 \\ \sqrt{x - 8} = 1 + 3 \\ \sqrt{x - 8} = 4 \\ squaring \: both \: sides \: \\ {( \sqrt{x - 8)} }^{2} = {4}^{2} \\ x - 8 = 16 \\ x = 16 + 8 \\ \huge \red{ \boxed{x = 24}}\)

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.

The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.

It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.

To learn more about investment: -brainly.com/question/15105766

#SPJ11

Answer:

the total is 80 cm^2

Step-by-step explanation:

just because you should multiply by 2 40*2=80 cm^2

i hope this helps

have a great day

Since, The line of symmetry is drawn between them. That line makes both sides equal. So if area of one half is 40cm² the area of other half will be also 40cm²..

Now, their sum is:

\(40 + 40 = 80\)

Thus, The total area of the rhombus is 80cm²...~

Close ties between the members of the group typically are formed during the norming stage of group development.

The norming stage of group development is the third stage, where the group begins to establish a sense of cohesion and unity. During this stage, members start to accept each other's ideas and opinions, develop relationships with one another, and establish patterns of communication and interaction. As a result of these positive developments, close ties between the members of the group often begin to form.

In the norming stage, group members also start to identify common goals and work together to achieve them. This shared sense of purpose can further strengthen the bonds between group members and contribute to the formation of close ties.

Overall, the norming stage is an important period of transition for groups as they move from the early stages of forming and storming to a more cohesive and productive group dynamic. The close ties formed during this stage can help to foster a supportive and collaborative environment that benefits the group as a whole.

Learn more about  norming stage  from

https://brainly.com/question/16013485

#SPJ11

Answer:

The answer is 5,380,000

Step-by-step explanation:

Answer:

5,380,000

Step-by-step explanation:

The sales tax rate in Sacramento, California is 8.5%

sales tax can be found using the formula:

sales tax = Tax / Subtotal x 100%

Solving gives:

sales tax = 0.85 / 10 x 100%

sales tax = 8.5%

In conclusion, the sales tax rate is 8.5%.

To learn more about sales tax with the given link

https://brainly.com/question/331633

#SPJ4

Answer:

-x+3

Step-by-step explanation:

3 plus signs so 1+1+1= 3

QUESTION A

One-fourth of a circle graph is in the shape of a quadrant. This is shown below:

The color with an approximate shape as shown in the diagram is Pink.

Hence, the answer is PINK.

QUESTION B

Pink or Purple takes up more than 1 quadrant but not quite 2 quadrants.

The angle of a quadrant is 90° while for the full circle, it is 360°.

If we assume that Pink or Purple takes up 1 and a half quadrants, we can approximate that the angle will be:

Therefore, the percentage will be:

This is approximately 40%.

Hence, the answer is 40%.

Volume = 6³ dm³

Volume = 216 dm³

Volume = 10 × 8 × 6 cm³

Volume = 480 cm³

Volume = 1/3 × 14 × 17 × 12.86 cm³

Volume = 1020.226 cm³

Volume = 3.14 ×6.5² × 5 m³

Volume = 663.325 m³

volume = 1/3 × 18.5² × 16 cm³

Volume = 1825.3 cm³

Volume = 4/3 ×3.14 × 7³ m³

Volume = 1436.026 m³

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

using the formula:

→ \(\frac{5-3}{3-2}\)

→ \(2\\\) .............this is slope, also refereed as (m) in short form.

using the equation formula:

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

Answer:

Step-by-step explanation:

Will give brainliest and seventeen points

t+7.45=13 3/4

t = 13 + 0.75 -7.45

t = 6.3