In triangle ABC,
DSA

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

The trucks arrive 10 minutes after the first call. The first and the second truck travel for 5 miles and 8 miles respectively.

In a time difference of 3 minutes, two fire trucks are called.

The average speed of the first truck is 30 miles per hour.

The average speed of the second truck is 60 miles per hour.

The trucks totally travel for 12 miles and arrive at the same time.

Let d be the number of miles the first truck drove.

Let t be the number of minutes it took the first truck to travel.

Now, Convert 30 miles per hour to a half mile per minute and 60 miles per hour to a mile per minute as we are measuring time in minutes.

For the first truck:

d = 0.5t

The second truck traveled 12 - d miles if the first truck traveled d miles. In the event where the first truck traveled for t minutes and was called 3 minutes later, the second vehicle would have gone for t - 3 minutes.

For the second truck:

12 - d = t - 3

Therefore,

12 - 0.5t = t - 3

15 = 1.5t

t = 15 / 1.5

t = 10 minutes

The trucks arrive after 10 minutes after the first call.

Then,

d = 0.5t = 0.5(10) = 5 miles

And 12 - d = 12 - 5 = 8 miles.

Hence, the first truck traveled for 5 miles and the second truck traveled for 8 miles.

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The complete question is mentioned below:

A fire truck is called to a scene. Three minutes later, a second truck is called. The first truck averages only 30 mph, but the second averages 60 mph. The trucks travel a total of 12 miles and arrive at the same time. How long from the first call did the trucks take to arrive? How far did each travel? We must first remember to change miles per hour to miles per minute.

Answer:

$1,215

Step-by-step explanation:

$70,250 x 0.06 = 4,215

4,215 - 3,000 = 1,215

Her checking account balance at every given time is represented by the linear function 175 + 8.75t

In this situation, the checking account offers simple interest at a rate of 5% annually. Her account has $175 in it.

The amount of money in the account at anytime will be:

= 175 + (PRT/100)

P = principal

R = rate

T = time

= 175 + [(175 × 5 × t)/100]

= 175 + 8.75t

The function is 175 + 8.75t

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Baxtar needs 3/2 cups of vinegar to make 6 cup of salad dressing.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, Baxter has a recipe for salad dressing that calls for 1/2 cup olive oil, 1/4 cup vinegar, and 3/4 cup pureed avocado.

To make 6 cups of dressing,

we multiply by 6 to every value of ingredients.

That means,

to make 6 cups of salad dressing;

we need vinegar

= 6 x 1/4 cup

= 6/4 cup

= 3/2 cup

Therefore, Baxtar needs 3/2 cups of vinegar to make 6 cup of salad dressing.

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Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

for every 13 dogs, there are 25 cats. is the answer.

The possible weather conditions for Andrea’s trip are clear skies with minimal precipitation.

The correct option is B

Applying science and technology to forecast the weather is known as weather forecasting. It involves determining the atmosphere's state at a specific location and moment in time. For millennia, people have made impromptu weather predictions, and since the 19th century, formal forecasts have been made.

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I understand that the question you are looking for is:

Andrea plans to go fishing in the morning, so she checks the weather forecast. The forecast shows a high-pressure area forming near her fishing spot. Using the weather data below, predict the possible weather conditions for Andrea’s trip.

A. cloudy skies with minimal precipitation

B. clear skies with minimal precipitation

C. cloudy skies with moderate precipitation

D. clear skies with heavy precipitation

Answer:  B. clear skies with minimal precipitation

Step-by-step explanation:

i got 5 out of 5 on the test

The function g(x) that represents the three transformations is g(x) = - f(x - 1) - 6.

Before answering, we shall remind the reader that this statement offers an open problem, that is, a problem that offers the posibility of more than a solution. Herein we show only one of all possible solutions to obtain a given point and the function behind the point:

First transformation - Translate the point and the function a unit in + x direction:

(x, y) = (1, 1) + (1, 0)

(x, y) = (2, 1)

f'(x) = f(x - 1)

Second transformation - Translate the point and the function six units in + y direction:

(x, y) = (2, 1) + (0, 6)

(x, y) = (2, 7)

f''(x) = f'(x) + 6

f''(x) = f(x - 1) + 6

Third transformation - Reflect the point and the function about the x-axis:

(x, y) = (2, - 7)

g(x) = - f''(x)

g(x) = - f(x - 1) - 6

The function g(x) that represents the three transformations is g(x) = - f(x - 1) - 6.

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Answer:

x=4

Step-by-step explanation:

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Answer:

14°

Step-by-step explanation:

Both angles are vertical angles and are opposite, hence, from angle theorem., vertically opposite angles are equal :

Angle EGD = Angle FGH

Angle EGD = (4x + 8)

Angle FGH = 64

HENCE,

4x + 8 = 64

4x = 64 - 8

4x = 56

x = 56/4

x = 14°

Answer:

A

Step-by-step explanation:

i hope this helps

Answer:

0 or none

Step-by-step explanation:

jump the number line

The interquartile range (IQR) for this data set is 1.5.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the interquartile range (IQR), we need to first find the first quartile (Q1) and the third quartile (Q3).

To find Q1, we need to find the median of the lower half of the data.

The lower half of the data is:

2, 3, 3, 4, 4

The median of the lower half is (3 + 4) / 2 = 3.5.

Therefore, Q1 = 3.5.

To find Q3, we need to find the median of the upper half of the data.

The upper half of the data is:

4, 4, 4, 5, 5, 6, 7

The median of the upper half is (5 + 5) / 2 = 5.

Therefore, Q3 = 5.

Now that we have Q1 and Q3, we can find the IQR by subtracting Q1 from Q3:

IQR = Q3 - Q1 = 5 - 3.5 = 1.5

Therefore,

The interquartile range (IQR) for this data set is 1.5.

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Answer:

ya cant even see it

Step-by-step explanation:

Answer:

Sorry I did not read right its b

Step-by-step explanation:

THERE EQUAL

Answer:

b

Step-by-step explanation:

if a shape is 1/2 of the original, you can put it back to the original by multiplying it by 2 because its the reciprocal of 1/2

hope this helps :))

Answer:

  it depends

Step-by-step explanation:

I like to choose the units to be compatible with the use of the number.

In Engineering, we often choose units so the number itself is between 1 and 1000. Here, that means 3.4×10^-7 mm would be better expressed as 3.4 angstroms or 340 pm (picometers). (The purpose of SI prefixes is to facilitate this way of representing metric measures.)

If you're comparing the length to something measured in km, then the representation as 3.4×10^-13 km might be the most useful

If you're comparing the distance to something measured in mm, then 3.4×10^-7 mm would be more appropriate than 3.4×10^-13 km.

Answer:

Answer:

2 + 2 = 4

Step-by-step explanation:

The type of conic section that is represented in the provided equation form is ellipse.

To identify the type of conic section from an equation whether it is circle or ellipse.

Let us  suppose the equation as,

\(Ax^{2} +By^{2}+Cx+Dy+E=0\)

In this equation,

We have to identify the type of conic section that has the equation,

\(4x^{2} +25y^{2}=100\)

By comparing this equation with the above equation, we get,

\(A=4\\B=25\)

Here neither \(A\) or \(B\) is equal to \(0\) and the sign of both are

similar(positive), so the equation form is ellipse.

Therefore, the type of conic section which is represented in the provided equation form is ellipse.

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Answer:

Step-by-step explanation:

They have the same amount

Answer:

-4, 20, -100, 500, -2500

Step-by-step explanation:

Since this is a geometric sequence, you know that to get from one term to the next, you must multiply the previous term by a constant value. To find this constant value, known as the constant ratio, divide a term by the consecutive previous term (the term right before it). For this sequence, we can divide the second term, 20, by the first, -4, to get a constant ratio of -5. Now we know that to get from one term to the next, you multiply the previous term by -5. Now, apply this to the question: if you have -100 and need to find the next two terms, multiply -100 by -5 to get the fourth term, 500, and multiply that by -5 again to get your fifth term, -2500. So, your next two terms of this sequence are 500 and -2500, making the sequence -4, 20, -100, 500, -2500, and so on.

Answer: 40 grams

Step-by-step explanation:

Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.

This means that 300 milligrams should be in 15 pounds of feed.

In 2,000 pounds therefore, the medication that should be added is;

= (2,000 * 300) / 15

= 40,000 milligrams of supplement

Question calls for how much grams are needed.

1 gram is 1,000mg

40,000 milligrams is;

= 40,000/1,000

= 40 grams

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

I think option B) -5

I hope help you

Using Excel, the probability that 2 or fewer students are left-handed in a random sample of 70 students from a school where 10% of the students are left-handed can be calculated as approximately 0.9999.

To calculate the probability using Excel, we can utilize the binomial distribution function. The binomial distribution is appropriate for situations with a fixed number of independent trials (sampling 70 students) and two possible outcomes (left-handed or not left-handed).

In Excel, the formula to calculate the probability of 2 or fewer left-handed students can be written as "=BINOM.DIST(2, 70, 0.1, TRUE)". Here, "2" represents the number of left-handed students (or fewer) we want to calculate the probability for, "70" is the total number of students in the sample, and "0.1" is the probability of a student being left-handed (10% or 0.10).

Evaluating this formula in Excel yields a probability of approximately 0.9999 when rounded to four decimal places. This implies that there is an extremely high probability (close to 100%) of having 2 or fewer left-handed students in a random sample of 70 students from the school, given that the overall proportion of left-handed students in the school is 10%.

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Considering the desired test, it is found that:

1)

The null hypothesis is: \(H_0: \mu = 5\)

The alternative hypothesis is: \(H_1: \mu < 5\)

2) Since the p-value is greater than the standard significance level of 0.05, we do not reject the null hypothesis.

3) The p-value is the probability of finding a measure as extreme as the one found in the sample, considering any of the three kind of tests: left-tailed, right-tailed and two-tailed.

At the null hypothesis, we test is the mean weight is still the same, that is:

\(H_0: \mu = 5\)

At the alternative hypothesis, we test if the weight has decreased, that is:

\(H_1: \mu < 5\)

Question 2:

Since the p-value is greater than the standard significance level of 0.05, we do not reject the null hypothesis.

Question 3:

The p-value is the probability of finding a measure as extreme as the one found in the sample, considering any of the three kind of tests: left-tailed, right-tailed and two-tailed.

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Answer:

3x² + 10x + 5

Step-by-step explanation:

Sum the sides together for perimeter (P)

Starting with the base and going clockwise

P = x² + 5x - 2 + x² + 5 + x² + 1 + 4 + 3x - 3 + 2x ← collect like terms

  = 3x² + 10x + 5