Triangle DEF is similar to triangle ABC. What is the measure, in degrees, of F?

answer:

Step-by-step explanation:

graph 3 on the y axes then go up five and over one the answer is that

Answer:

they would each be getting an average of 0.25 liters of water a day

Step-by-step explanation:

Answer:

it represents a polynomial

Answer:

\((-\infty,0)\cup (0,5)\).

Step-by-step explanation:

Note: In the given options it should be negative infinity instead of -0 because -0 does not make any sense.

It is given that cube of a number is less than five times the square of the number.

Let the unknown number be x.

\(x^3<5x^2\)

\(x^3-5x^2<0\)

\(x^2(x-5)<0\)

This is possible when both factors \(x^2\text{ and }(x-5)\) have different sign.

We know that \(x^2\) is always greater than or equal to 0. So,

\(x-5<0\)

\(x<5\)

\(x\in (-\infty,0)\cup (0,5)\)

Because \(x^2(x-5)<0\) is not true for x=0, so, 0 is not included in the solution set.

Therefore, the solution set is \((-\infty,0)\cup (0,5)\).

Answer:

C

Step-by-step explanation:

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

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Answer:

Manny.

Step-by-step explanation:

Because they split cleaning on Thursday and Manny finished first, then on Friday Manny will clean more stalls because they are faster.

Yo look down for my explanation AND answer.

Step-by-step explanation:

In order to complete the proportion, we will apply the rule of a similar shape.

Therefore,

Final answers

There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.

The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:

nCr = n! / (r! * (n-r)!)

where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).

So the number of different groups of applicants that can be selected is:

16C4 = 1820

Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.

The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:

9C4 = 126

Therefore, there are 126 different groups of trainees that would consist entirely of women.

Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):

Probability = 126 / 1820 = 0.0692

So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).

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Answer:

$2.08 will be his change

Step-by-step explanation:

1. multiply 2.52x2=5.04 for binders

2. multiply 0.33x3=0.99 for gluesticks

3. multiple 1.89x1= 1.89 for pencils

4. add all the totals up, 5.04+0.99+1.89=$7.92

5. subtract the total of $7.92 from the 10 dollar bill

$10-$7.92= $2.08

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

There are 0.186411 miles in 0.3 km.

The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

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Answer:

  z^2 +7z -8 = 0

Step-by-step explanation:

Let z = 3x+2. Then we can substitute z wherever we see 3x+2.

  z^2 +7z -8 = 0 . . . . equivalent quadratic

__

This is easily factored to ...

  (z -1)(z +8) = 0

So, the original quadratic has solutions ...

  (3x +2) -1 = 0

  x = -1/3

and

  (3x +2) +8 = 0

  x = -10/3

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

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Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

Answer:

-45 is you answer

Step-by-step explanation:

The statement "Z-scores are negative for values of x that are less than the distribution mean" is true. A

measures the number of standard deviations a given value is from the mean.

Since values less than the mean are below the average, their z-scores will be negative.

B. The statement "Z-scores are equal to 1.0 for values of x that are equal to the distribution mean" is false. The z-score for a value equal to the mean is always 0, not 1. A z-score of 1.0 represents a value that is one standard deviation above the mean.

C. The statement "Z-scores are zero for values of x that are less than the distribution mean" is false. Z-scores for values less than the mean will be negative, not zero. As mentioned earlier, the z-score of 0 corresponds to a value equal to the mean.

D. The statement "Z-scores are positive for values of x that are less than the distribution mean" is false. Z-scores for values less than the mean will be negative, not positive. Positive z-scores represent values greater than the mean.

Regarding Allison counting the number of customers visiting her store on a given day, the statement "she is working with continuous data" is true. Continuous data refers to measurements that can take on any value within a certain range. The number of customers visiting a store can be any non-negative real number, making it a continuous variable.

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The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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Volume

Convert to ounces

Option C

Answer:

16 ounces (nearest ounce)

Step-by-step explanation:

Formula

Volume of a cylinder = πr²h  (where r is the radius and h is the height)

Diameter = 2r  (where r is the radius)

Given:

⇒ radius = 7 ÷ 2 = 3.5 cm

⇒ Volume of the jar = π · 3.5² · 12 = 147π cm³

If 1 cm³ = 0.034 ounce, then

⇒ Ounces jar can hold = 147π × 0.034

                                      = 15.70168008

                                      = 16 ounces (nearest ounce)

Answer: The length of porch is 18 feet.

Step-by-step explanation:

Given: The scale drawing of a porch is 8 inches wide by 12 inches long.

The actual porch is 12 feet wide.

Actual porch and the drawing are similar, then

\(\dfrac{\text{Actual length}}{\text{Actual width}}=\dfrac{\text{ length in drawing}}{\text{Width in drawing}}\)

\(\Rightarrow\ \dfrac{\text{Actual length}}{12}=\dfrac{12}{8}\\\\\Rightarrow\ \text{Actual length}= \dfrac{12}{8}\times12\\\\\Rightarrow\ \text{Actual length}= 18\)

Hence, the length of porch is 18 feet.

Given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.

Shapes that are similar have corresponding sides that are proportional to each other.

Thus:

Therefore:

x/12 = 12/8

Cross multiply

8x = (12)(12)

x = 18 inches.

Therefore, given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.

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When Albert drew a rhombus in a coordinate plane, and three of its vertices are (5, 2), (7, 0),  (9, 2). the fourth point is (3, 0)

The length of  sides of a rhombus are equal, hence in an ordered pair the length of a side will be calculated using using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (5,, 2) and (9, 2) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(5 - 9)² + (2 - 2)²}

d =√{16 + 0}

d = √16

d = 4 units

subtracting 4 units in (7, 0)

(7 - 4, 0)

(3, 0)

the fourth side of the rhombus is (3, 0)

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Answer:

slope = 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=−10, y=−3

x=10, y=7

y=7,x=10

y=−3,x=−10

A spurious correlation is a correlation between two variables that appears to be causally linked but is actually due to the influence of a third variable that is not considered. The correct answer is  spurious correlation.

Spurious correlations are correlations that exist between two variables, but they are not actually causally related to one another, despite the fact that they appear to be causally related at first glance. The relationship between two variables may be accounted for by a third variable that was previously overlooked or not considered, causing the original correlation to be explained away. Spurious correlations are commonly found in science and research, and they can lead to misleading results if not properly identified and accounted for. It is critical to account for all potential confounding variables in order to establish causal links between variables and avoid spurious correlations. Therefore, researchers must carefully consider all variables that might influence the relationship between two variables to avoid drawing inaccurate conclusions.

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Answer:

i think the answer is 4

Step-by-step explanation:

i'm sorry if it isn't right i'm not the smartest person in the world

Answer:

$0.25

Step-by-step explanation:

If the baseball card is worth 60 times as much as before, and it's worth $15 right now, then:

$15 = 60x

This means that 60 times the original price x is $15.

The original price would be:

$15 = 60x

0.25 = x

x = $0.25