Given Triangle DEF has point D(-1,-5), E(-2,-1) and F(-4,-3) and is
rotated around the origin 90 degrees clockwise onto triangle D'E'F, what
are the coordinates of D'. E', and F?

Answer:

b) 10

Step-by-step explanation:

In this case the frequency would be equal to the quotient between the sample that creative artists tell us (that is to say 120 people) and the amount of sastrological signs that there are (that is to say 12 signs), therefore it would be:

F = 120/12 = 10

Which means that the expected frequency for each category equal to 10.

So the answer is b) 10

Answer:

The answer is the 4th one

Answer: This is the right answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

D:(0,10)

R:(14, infinitly)

Answer:

\(5565\)

Step-by-step explanation:

\(1+2+3+4...+113+114=\frac{114*115}{2} =6555\)

\(1+2+3+4 ... +43+44=\frac{44*45}{2} =990\)

Thus, \(45+46+47+48...+113+114=\) \(6555-990=5565\)

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

4 minutes               60 calories

60 minutes              ?

Using cross-multiplication, you can find the solution.

4x = 3600

x = 900

Yes its true, you can burn 900 calories in 4 minutes

Answer:

they are equal

Step-by-step explanation:

adding a 0 to a number that is a . doesn't change it's value unless it is infront of the number

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

y=55

x=70

Step-by-step explanation:

Answer:

C=0.75m+3

Step-by-step explanation:

3=flat fee

0.75 per mile

m=mile

c=cost

Answer:

Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,

600 N + 800 N - 1200 N = (2250 kg) a

Solve for the acceleration a :

200 N = (2250 kg) a

a = (200 N) / (2250 kg)

a ≈ 0.0889 m/s/s

Step-by-step explanation: I hope this helps!

Answer:

Ms. Rangtonsmith will get $30 after raise

Step-by-step explanation:

Current salary = $25

raise = 1/5 of current salary

substituting current salary with $25

raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5

Thus, raise is $5

total salary after raise will be sum of current salary and raise

total salary after raise = $25 + $5 = $30

Thus, Ms. Rangtonsmith will get $30 after raise

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

2 * 3 * 5

Step-by-step explanation:

The factors of 30 are 1,2,3,5,6,10,15, and 30. Lets just pick out the prime numbers from this and see if they multiply to 30.

\(2\times 3\times 5=30\)

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

Solution given;

we have

Cos 30=adjacent/hypotenuse

Cos 30=12/x

x=12/cos30

x=8√3

and

Sin 30=opposite/hypotenuse

Sin30=y/x

y=sin30*x

y=sin30*8√3

y=4√3

Option D.

x=8√3 and y=4√3 is a required answer.

A power series representation for the function the interval of convergence is x > -14 .

Given :

a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 1273 Determine the interval of convergence.

f ( x ) = 3 / 17 + x

Interval of convergence :

The interval of convergence can be calculated once you know the radius of convergence. First you solve the inequality |x − a| < R for x and then you check each endpoint individually.

3 / 17 + x < 1

3 < 1 * ( 17 + x )

3 < 17 + x

-14 < x

x > -14

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Answer:

do the math, giving steps.

Step-by-step explanation:

52 = male

52-y= female

male + female = total amount of members

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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Find the missing endpoint if S is the midpoint RT. R(-9, 4) and S(2, -1); Find T.

we know that

The formula to calculate the midpoint between two points is equal to

we have

S(2,-1)

(x1,y1)=R(-9,4)

(x2,y2)=T

substitute the given values in the formula

Find the x2 coordinate

2=(-9+x2)/2

-9+x2=4

x2=4+9=13

Find the y2 coordinate

-1=(4+y2)/2

4+y2=-2

y2=-2-4

y2=-6

therefore

Answer:

Step-by-step explanation:

cos θ=8/17

sec θ=17/8

sec² θ-tan²θ=1

tan θ=√(sec²θ-1)=√((17/8)²-1)=√((289-64)/64)=√(225/64)=15/8

Answer:

A. The function has three distinct real zeros.

Step-by-step explanation:

The correct option is that the function has 3 distinct real zeros.

For a quadratic graph, the point where the curves intersect the x-axis is the x-intercept of the graph.

The zeros of the graph are the point where the curves touches the x-axis. From the given graph, we can see that the curve cuts the x-axis at three points at, x = 1, x = 4 and x = 6.

Since the values are real and distinct, hence the correct option is that the function has 3 distinct real zeros.

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Answer:

16076.8

Step-by-step explanation:

Volume of Cylinder=πr²h

h= 20 m

r = 32/2 = 16

=πr²h

=  (3.14)(16^2)(20)

=16076.8 m^2

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The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Answer:

Population standard deviation

Step-by-step explanation:

Mean value =  4 + 12 + 6 + 9 + 6 + 11 = 48 / 6 = 8 mean

Standard deviation with numbers close together in random samples show the numbers would be close to their average mean and would never show spread of data in lower range numbers

Range = 12 - 4 = 8 does not determine the ''spread'' for measures such as temperatures it shows the mean also as unintended.

Criteria must include lowest and highest temperature to reflect 100 years and so population standard in lower set data would reflect a reliable calculation.

As the condition has mentioned in the problem , population standard deviation would be prefer for this data set

Temperature range for year 1915 to 2015 has been given in question
= 4, 12, 6, 9, 6, 11

The standard deviation is used to calculate the spread of values in the set of data.

Mean =  (4 + 12 + 6 + 9 + 6 + 11)/6
48/6 = 8
mean = 8

\(\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}\)

σ= population standard deviation

N= population size

xi= each value from the population

μ =    population mean

Range = 12-4
=8
since the range is very small difference to its extreme points on sets of temperature relative b the year difference which is a century i.e, 100 years . Though, Its implies formula that has been mentioned above which is of standard deviation for population shows the perfect calculation for this lower range of temperature gives the precise information of the spread.  

Thus, Population standard deviation would be preferred for the further calculations.

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Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

3sqrt(5)

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal of the rectangular box.

The Pythagorean theorem states that for a right triangle with legs of length a and b and hypotenuse of length c, we have:

c^2 = a^2 + b^2

In this case, the legs of the right triangle are 3 inches and 6 inches, and the hypotenuse is the length of the straw. So we have:

straw length^2 = 3^2 + 6^2 straw length^2 = 9 + 36 straw length^2 = 45

Taking the square root of both sides, we get:

straw length = sqrt(45) = sqrt(9*5) = sqrt(9)*sqrt(5) = 3sqrt(5)

Therefore, the length of the straw is 3sqrt(5) inches.