?
Which is equivalent to 80
80
480*
80
( 0

Answer:

y = 1/2 x - 4

Step-by-step explanation:

point slope form would be

( y - - 3) = 1/2 (x-2)       you can re-arrange as

y = 1/2x -4

Hope it helps :) and let me know if you want me to explain why

Answer:

A

Step-by-step explanation:

DECYPHERED

14 orders of guacamole need  24.5  avocadoes

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

4 orders of guacamole need  7 avocadoes

14 orders of guacamole need  x avocadoes

Equivalent ratios:

4/7 = 14/x

Solve for x.

=> 4x = 7*14 = 98

=> x = 98/4 = 24.5

So, 14 orders of guacamole need  24.5  avocadoes

To learn more about equivalent ratios from the link

https://brainly.com/question/2914376

#SPJ1

According to the question we have  approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To answer this question, we will use the normal distribution formula and z-score.

First, we need to find the z-score for the lower limit of $1.20:

z = (1.20 - 1.50) / 0.10 = -3

Next, we need to find the z-score for the upper limit of $1.80:

z = (1.80 - 1.50) / 0.10 = 3

Now, we can use a z-table to find the area under the curve between these two z-scores.

The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.

To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:

0.9987 - 0.0013 = 0.9974

Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To know more about Percent visit :

https://brainly.com/question/31323953

#SPJ11

Answer:

1+B,2+D,3+E,4+C and 5+A

Step-by-step explanation:

(A)161 (B)130 (C)168 (D)150 (E)132

1. 26 x 5=130

This is Option B, therefore we have the match:1+B

2. 25 x 6=150

This is Option D, therefore we have the match:2+D

3. 22 x 6=132

This is Option E, therefore we have the match: 3+E

4. 21 x 8=168

This is Option C, therefore we have the match: 4+C

5. 23 x 7=161

This is Option A, therefore we have the match:5+A

Answer:

321

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The 1220 feet is positive because the plane is above her.

The 14 feet is negative because the tree is below her.

Because you're comparing distances, you need the absolute value of both distances.

The absolute value of 1220 is 1220 and the absolute value of -14 is 14, so the absolute value of 1220 is greater than the absolute value of -14. The answer is D.

Answer:

multiplying :v

Step-by-step explanation:

................

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

To know more about hydrologic cycle click here:

https://brainly.com/question/13729546

#SPJ4

The effective annual rate for a 8.65% interest compounded monthly is 9.14%.

To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.

We can use the formula for compound interest to calculate the effective annual rate:

Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1

Plugging in the given values:

Effective Annual Rate = (1 + (8.65% / 12))^12 - 1

                     = (1 + 0.0072083)^12 - 1

                     = 1.0072083^12 - 1

                     ≈ 0.0914 or 9.14%

Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.

Learn more about compound interest from the given link:

https://brainly.com/question/14295570

#SPJ11

Answer:

p = 7

Step-by-step explanation:

2(p+1)=16

Distribute to get 2p+2=16

Subtract both sides by 2 to get 2p=14

Divide both sides by 2 to get p=7

Answer:

p = 7

Step-by-step explanation:

2 (p+1)=16

2p + 2 = 16

2p = 14

p = 14/2

p = 7

Solving by factoring in steps shown below

Answer:

\(\textsf{1. \quad $x=1, \quad x=-\dfrac{2}{5}$}\)

\(\textsf{2. \quad $x=1, \quad x=3$}\)

Step-by-step explanation:

Solving quadratic equations by factoring

Given equation:

\(5x^2=3x+2\)

Subtract (3x + 2) from both sides:

\(\implies 5x^2-(3x+2)=3x+2-(3x+2)\)

\(\implies 5x^2-3x-2=0\)

Find two numbers that multiply to \(ac\) and sum to \(b\), and rewrite \(b\) as the sum of these two numbers:

\(\implies ac=5 \cdot -2=-10\)

\(\implies b=-3\)

Therefore, the two numbers are -5 and 2.

Rewrite \(b\) as the sum of the two numbers:

\(\implies 5x^2-5x+2x-2=0\)

Factor the first two terms and the last two terms separately:

\(\implies 5x(x-1)+2(x-1)=0\)

Factor out the common term (x - 1):

\(\implies (5x+2)(x-1)=0\)

Apply the zero-product property:

\(\implies 5x+2=0 \implies x=-\dfrac{2}{5}\)

\(\implies x-1=0 \implies x=1\)

Therefore, the solutions are:

\(\boxed{x=1, \quad x=-\dfrac{2}{5}}\)

Given equation:

\(\implies x^2-4x+3=0\)

Find two numbers that multiply to \(ac\) and sum to \(b\), and rewrite \(b\) as the sum of these two numbers:

\(\implies ac=1 \cdot 3=3\)

\(\implies b=-4\)

Therefore, the two numbers are -3 and -1.

Rewrite \(b\) as the sum of the two numbers:

\(\implies x^2-3x-x+3=0\)

Factor the first two terms and the last two terms separately:

\(\implies x(x-3)-1(x-3)=0\)

Factor out the common term (x - 3):

\(\implies (x-1)(x-3)=0\)

Apply the zero-product property:

\(\implies x-1=0 \implies x=1\)

\(\implies x-3=0 \implies x=3\)

Therefore, the solutions are:

\(\boxed{x=1, \quad x=3}\)

Step-by-step explanation:

What graph are we talking about?

he integral 2cos(θ) dr dθ can be written as the product of two separate integrals: ∫∫R 2cos(θ) dA = ∫(θ = θ1 to θ2) ∫(r = r1 to r2) 2cos(θ) r dr dθ

The given double integral is ∬R 2cos(θ) dA, where R is the region in the polar coordinate system.

To evaluate this integral, we first need to determine the limits of integration. The limits for r should be determined by the region R, while the limits for θ should be determined by the range of θ that covers the region R.

The integral 2cos(θ) dr dθ can be written as the product of two separate integrals:

∫∫R 2cos(θ) dA = ∫(θ = θ1 to θ2) ∫(r = r1 to r2) 2cos(θ) r dr dθ

The limits of integration for r and θ should be determined based on the region R. Once the limits are determined, we can integrate 2cos(θ) with respect to r and then with respect to θ using the appropriate integration techniques.

The final result will depend on the specific limits of integration determined for the region R. By evaluating the integrals using the appropriate techniques, the double integral of 2cos(θ) over the region R can be computed.

Learn more about double integral here:

https://brainly.com/question/27360126

#SPJ11

No, 100 milliseconds is not equivalent to 1 second. A millisecond (ms) is a unit of time equal to one-thousandth of a second, whereas a second (s) is a fundamental unit of time in the International System of Units (SI).

To convert milliseconds to seconds, you need to divide the number of milliseconds by 1000. This is because there are 1000 milliseconds in one second.

Therefore, to convert 100 milliseconds to seconds, you would use the formula:

100 ms / 1000 = 0.1 s

This means that 100 milliseconds is equal to 0.1 seconds.

It is important to accurately convert between units of time, especially in fields such as science, engineering, and computing where precise measurements and calculations are required.

Knowing the conversion factors between units of time and being able to perform these conversions quickly and accurately is essential for making precise measurements and calculations.

To learn more about conversion click on,

https://brainly.com/question/21081246

#SPJ4

Answer:

Step-by-step explanation:

Given,

l || m

Therefore,

142° + (3x+8)° = 180° [Since Co-exterior angles]

=> 3x + 8 = 180 - 142

=> 3x + 8 = 38

=> 3x = 38 - 8

=> 3x = 30

\( = > x = \frac{30}{3} \)

=> x = 10 (Ans)

Answer:

7/30

Step-by-step explanation:

-3/9 * -56/80

-3/9= -1/3

-56/80 = -7/10

-1/3(-7/10)

1(7) / 3(10)

7/30 or 0.2333

Answer:

See below

Step-by-step explanation:

Next step is to gather 'like' terms

-x2 - 4x -3 = 2x + 5.

x^2 + (4x + 2x)   + (3+5)    = 0       then simplify

x^2 + 6x + 8     = 0        then factor

(x+4)(x+2) = 0  

so either of these terms = 0

x+4 = 0    means   x = -4

x+ 2 = 0 means  x = - 2          

Answer:

d

Step-by-step explanation:

Combine like terms onto one side of the equation.

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

y=3/2x+3

Step-by-step explanation:

The probability of rolling either 2 or 4 is B) 1/4.

Let's denote the probability of rolling 4 by p. Then, the probability of rolling 3 is 3p, the probability of rolling 2 is 9p, and the probability of rolling 1 is 27p.

The sum of these probabilities must equal 1, so we have:

p + 3p + 9p + 27p = 1

Simplifying this equation, we get:

40p = 1

p = 1/40

Therefore, the probability of rolling 4 is 1/40, the probability of rolling 3 is 3/40, the probability of rolling 2 is 9/40, and the probability of rolling 1 is 27/40. To find the probability of rolling either 2 or 4, we add the probabilities of rolling 2 and 4:

9/40 + 1/40 = 10/40 = 1/4

So, the answer is (b) 1/4.

For more questions like Probability visit the link below:

https://brainly.com/question/30831059

#SPJ11

The remainder when a positive integer x leaves a remainder of 2 when divided by 8 and x+9 is divided by 8 is 5.

If the positive integer x leaves a remainder of 2 when divided by 8, then we can say that x = 8k + 2, where k is an integer.

Now, if we divide x+9 by 8, we get:

(x+9)/8 = (8k + 2 + 9)/8
         = (8k + 11)/8
         = k + (11/8)

So, the remainder when x+9 is divided by 8 is 11/8. However, since we are dealing with integers, the remainder can only be a whole number between 0 and 7.

Therefore, we need to subtract the quotient (k) from the expression above and multiply the resulting decimal by 8 to get the remainder:

Remainder = (11/8 - k) x 8

Since k is an integer, the only possible values for (11/8 - k) are -3/8, 5/8, 13/8, etc. The closest whole number to 5/8 is 1, so we can say that:

Remainder = (11/8 - k) x 8 ≈ (5/8) x 8 = 5

Therefore, the remainder when x+9 is divided by 8 is 5.

If a positive integer x leaves a remainder of 2 when divided by 8, then x can be expressed as 8k + 2, where k is an integer. To find the remainder when x+9 is divided by 8, we divide x+9 by 8 and subtract the quotient from the decimal part. The resulting decimal multiplied by 8 gives us the remainder. In this case, the decimal is 11/8, which is closest to 1. Thus, we subtract the quotient k from 11/8 and multiply the result by 8 to get the remainder of 5.

The remainder when a positive integer x leaves a remainder of 2 when divided by 8 and x+9 is divided by 8 is 5.

To know more about remainder visit:

brainly.com/question/29019179

#SPJ11

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

learn more about binomial here:

https://brainly.com/question/31049218

#SPJ4

Answer:

x>3/8

Step-by-step explanation:

Answer:

40 quarts

Step-by-step explanation:

one gallon is 4 quarts, so ten gallons would be 40.

4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)

Answer:

has no x^2 term

Step-by-step explanation:

Has no x^2 term   <====== that would make it an exponential function, not linear

Applying the definition of complementary angles, the measures are:

7. m<DBE = 64°; m<CBE = 26°

8. m<WVZ = 84°; m<XVW = 96°

9. m<RTS = 63°; m<PTQ = 27°

10. m<EFG = 139°

m<IFH = 49°

Complementary angles are two angles whose sum is equal to 90 degrees. In other words, when two angles are placed side by side, forming a right angle, they are said to be complementary.

7. Angles DBE and CBE are complementary angles, therefore:

17x + 13 + 32 - 2x = 90

15x + 45 = 90

15x = 90 - 45

15x = 45

x = 3

m<DBE = 17x + 13 = 17(3) + 13 = 64°

m<CBE = 32 - 2x = 32 - 2(3) =  26°

8. 5x + 29 = 9x - 15 [vertical angles are equal]

5x - 9x = -29 - 15

-4x = -44

x = 11

m<WVZ = 9x - 15 = 9(11) - 15 = 84°

m<XVW = 180 - 84 = 96° [linear pair]

9. 8x - 17 = 5x + 13 [vertical angles]

8x - 5x = 17 + 13

3x = 30

x = 10

m<RTS = 5x + 13 = 5(10) + 13 = 63°

m<PTQ = 180 - 90 - 63 = 27°

10. (2x + 3) + (6x + 25) = 180 [linear pair]

8x + 28 = 180

8x = 180 - 28

8x = 152

x = 19

m<EFG = 6x + 25 = 6(19) + 25 = 139°

m<IFH = 90 - (2x + 3) = 90 - (2(19) + 3)

m<IFH = 49°

Learn more about complementary angles on:

https://brainly.com/question/16281260

#SPJ1

By simplifying the given expression:

(-5a-3)+(2a+7)

We will find the equivalent one:

-3a + 4

Here we have the following expression:

(-5a-3)+(2a+7)

And we want to find an equivalent expression to this one. To find it, we need to simplify the given expression.

If we break the parenthesis, we will get:

-5a - 3 + 2a + 7

Now we should group like terms, then we will get:

(-5a + 2a) + (-3 + 7)

And now we can simplify this so we get:

(-5 + 2)*a + 4

-3a + 4

That is the equivalent expression we wanted to find.

Learn more about equivalent expressions:

https://brainly.com/question/2972832

#SPJ1

A rank 6 approximation of matrix A would only require us to store 1692 values.

To find the number of values needed to store a rank 6 approximation of the matrix A, we need to consider the formula for the rank-k approximation of a matrix:

A_k = U_k * Sigma_k * V_k^T

where U_k is a matrix of size m x k, Sigma_k is a diagonal matrix of size k x k, and V_k is a matrix of size n x k.

For a rank 6 approximation, we only need to keep the first 6 columns of U and V, and the first 6 diagonal entries of Sigma.

The number of values needed to store U_k and V_k is:

43 x 6 + 85 x 6 = 828

The number of values needed to store Sigma_k is:

6 x 6 = 36

Therefore, the total number of values needed to store a rank 6 approximation of matrix A is:

828 + 36 + 828 = 1692

So, a rank 6 approximation of matrix A would only require us to store 1692 values, which is much less than the 3655 values needed to store the full matrix.

Know more about diagonal matrix here,

https://brainly.com/question/31490580

#SPJ11

Answer:

To find the percent increase between the average low and high temperatures in July, we need to calculate the difference between the average high and low temperatures and then divide that difference by the average low temperature. Finally, we multiply the result by 100 to get the percentage increase.

The difference between the average high and low temperatures is:

90°F - 69°F = 21°F

To find the percentage increase, we need to divide the difference by the average low temperature and multiply by 100:

Percentage increase = (21°F / 69°F) × 100%

≈ 30.4%

Therefore, the percent of increase between the average low and high temperatures in July is approximately 30.4%, rounded to the tenths place.