Find following measure.
m DH

Answer:

−87.5

Step-by-step explanation:

3×5−4×7×5+2×4×5−5÷2=-87.5

The method that would best describe the study above is D. observational study

In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.

Observational studies, often known as epidemiological studies, are those in which the researcher does not influence the study subjects but rather observes the associations that naturally exist between causes and outcomes. This was illustrated in the case regarding the students.

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Step-by-step explanation:

Using the formula c=6p+200 you can plug 350 in for c and solve for p

350=6p+200

-200 -200

150=6p

/6 /6

25=p

So, she can invite 25 people to her birthday party.

The geometric mean between pair of numbers 3√2/7 and 5√2/7 is 0.78.

The geometric mean is the average or mean value that signifies the central tendency of a set of numbers. This is obtained by finding the product of their values.

Geometric mean (GM) is calculated as:

GM = [tex]\sqrt{x y}[/tex]

where x and y are the given two values.

According to the given condition, x = [tex]\frac{3\sqrt{2} }{7}[/tex] and y = [tex]\frac{5\sqrt{2} }{7}[/tex]

Substituting these values in the equation above,

∴GM = [tex]\sqrt{\frac{3\sqrt{2} }{7} \frac{5\sqrt{2} }{7} }[/tex]

= [tex]\sqrt{\frac{30}{49} }[/tex]

= 0.78.

Thus, the geometric mean between the given two numbers is 0.78.

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Answer:

Step-by-step explanation:

x^2+2x-16-2x = x^2 - 16

= ( x - 4) ( x+ 4)

The measure of the length of BC from the expression is 8

The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Given the following segments

AB = 7

AD = 25 and:

CD = 10

Using the addition postulate below:

AB+BC+CD = AD

Substitute the given parameters

7+BC+10 = 25

17+BC = 25

Subtract 17 from both sides

17+BC-17 = 25 - 17

BC = 8

Hence the measure of the length of BC from the expression is 8

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The Least Common Multiple (LCM) of A and B is 11,741,730 and the Highest Common Factor (HCF) of A and B is 10

The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

The highest common factor of two or more numbers is the highest number among all the common factors of the given numbers. It is also known as HCF.

So, Given numbers LCM of A and B can be calculated by

Listing all prime factors for each number.

Prime Factorization of A is:

2 x 3 x 5 x 11 x 13

Prime Factorization of B is:

2 x 5 x 7 x 17 x 23

The new superset list is

2, 3, 5, 7, 11, 13, 17, 23

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 5 x 7 x 11 x 13 x 17 x 23 = 11741730

Now, Given numbers HCF of A and B can be calculated by

The factors of A are: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290

The factors of B are: 1, 2, 5, 7, 10, 14, 17, 23, 34, 35, 46, 70, 85, 115, 119, 161, 170, 230, 238, 322, 391, 595, 782, 805, 1190, 1610, 1955, 2737, 3910, 5474, 13685, 27370

Then the greatest common factor is 10.

Therefore, LCM of A and B is 11741730 and HCF of A and B is 10.

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Answer:

C=115+29m

Step-by-step explanation:

C=115+29(24)

C=£811

so the first option

Using the distance formula the distance between and pair of points Q(-12,2) and T(-9,6) is 5 units

Given,

The points = Q(-12,2) and T(-9,6)

We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

Substitute the values in the equation

The distance = [tex]\sqrt{(-9--12)^{2}+(6-2)^{2} }[/tex]

[tex]=\sqrt{3^{2}+4^{2} } \\=\sqrt{9+16}\\ =\sqrt{25}[/tex]

=5 units

Hence, Using the distance formula the distance between and pair of points Q(-12,2) and T(-9,6) is 5 units

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Answer: 14/40 or 7/20

Step-by-step explanation: We need to set the fraction's denominators equal to each other and their LCM is 40 so Andrea ran 1/8 which =5/40. Billie ran 1/5 which =8/40. 5/40+8/40=13/40/ Carol ran both Andrea's and Billie's length combined so that's another 13/40 = 26/40. The whole length is 40/40 so 40/40-26/40=Dana's length which =14/40 or 7/20

Answer: Celeste lives 20 miles from her workplace.

Step-by-step explanation:

Answer:

Step-by-step explanation:

if it takes 12 miles to get there in the morning +

8 miles at the end

she lives 20 miles from her workplace.

Truth Table is used to perform logical operations in Maths. These operations comprise boolean algebra or boolean functions. It is basically used to check whether the propositional expression is true or false, as per the input values. This is based on boolean algebra.

A truth table is a breakdown of a logic function by listing all possible values the function can attain. Such a table typically contains several rows and columns, with the top row representing the logical variables and combinations, in increasing complexity leading up to the final function.

Here we construct truth table for And operation -

see attachment below -

So because we don't have statements on either side of the "and" symbol that are both true, the statment ~p∧q is false. So ~p∧q=F. Now that we know the truth value of everything in the parintheses (~p∧q), we can join this statement with ∨p to give us the final statement (~p∧q)∨p.

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Distance between the pair of points A(5,1) and C(-3 ,-3) is equal to

8.9 units (nearest tenth).

As given in the question,

Given points are  A (5, 1) and C( -3,-3)

Distance between the pairs of points = [tex]\sqrt{(y_{2}-y_{1})^{2} + (x_{2}-x_{1})^{2} }[/tex]

                                                          =[tex]\sqrt{(-3-1)^{2} + (-3-5)^{2} }[/tex]

                                                          = [tex]\sqrt{16 + 64}[/tex]

                                                          = [tex]\sqrt{80}[/tex]

                                                          = 8.9 units (nearest tenth)

Therefore, distance between the pair of points A(5,1) and C(-3 ,-3) is equal to 8.9 units (nearest tenth).

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Answer:

see attached photo for the graph

Answer:

the greatest common factor of 6 and 12 is 6

Step-by-step explanation:

6 can be divided by six, one time. 12 can be divided by six, two times.

The answer is 6.

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The GCF of a number is the greatest common factor of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.

Answer:

10

Step-by-step explanation:

there’s 360 degrees in a full circular area, so dividing it by 36 sides equals 10 degrees each.

Answer:

I believe the correct answer to this question is D.

Step-by-step explanation:

You can use Desmos (graphing calculator)  to graph the equation to verify it. :)

The simplification by combining like terms of 7s -s  is 6s.

According to the given question.

We have an expression 7s - s.

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression

7s - s.

Here 7s and s both are the like terms.

So, we subtract coeffcients of s to simplify the given expression.

Therefore, the simplification of the expression 7s - s is given by

7s - s

= 6s

Hence, the simplification by combining like terms of 7s -s is 6s.

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The difference between the distances flown by these birds is 150 Km.

We have a graph given in the question.

We have to find the difference in the distances flown by these two birds after 3 hours of flight.

The general equation of a line is -

y = mx + c

According to the question -

The slope of the line is -

m = 400/5 = 80

The y - intercept of the line is 0. Therefore → c = 0.

Therefore, the equation of the line will be -

y = 80x

The distance covered by Bird 1 →

D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.

The distance covered by Bird 2 →

D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.

Therefore, difference between the distances flown by these birds -

D[2] - D[1] = 640 - 490 = 150 Km.

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[ The given question is incomplete. A graph is attached at the end of answer which is also a part of the question]

Answer:

rocco has 0.10 liters orange soda and 1.63 liters of grape soda more angelo has

than

Answer:

(2, 7 )

Step-by-step explanation:

y = 3x + 1 → (1)

5x = y + 3 → (2)

substitute y = 3x + 1 into (2)

5x = 3x + 1 + 3

5x = 3x + 4 ( subtract 3x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1)

y = 3(2) + 1 = 6 + 1 = 7

solution is (2, 7 )

Answer:

[tex] \sf \: x=8 and y=1[/tex]

Step-by-step explanation:

Let's solve your system by elimination.

x+3y=11;4x−y=31

Multiply the first equation by -4,and multiply the second equation by 1.

−4(x+3y=11)

1(4x−y=31)

Becomes:

−4x−12y=−44

4x−y=31

Add these equations to eliminate x:

−13y=−13

Then solve−13y=−13for y:

−13y=−13

−13y/−13=−13/−13

(Divide both sides by -13)

y=1

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

x+3y=11

Substitute1foryinx+3y=11:

x+(3)(1)=11

x+3=11(Simplify both sides of the equation)

x+3+−3=11+−3(Add -3 to both sides)

x=8

The equation of the line in point-slope form, which passes through the pair of points located at (1 , 9) and (6 , 2), is y - 9 = -7/5(x - 1).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (1 , 9) and (6 , 2).

m = (y2 - y1)/(x2 - x1)

m = (2 - 9)/(6 - 1)

m = -7/5

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = -7/5 and (x1 , y1) = (1 , 9)

(y - 9) = -7/5(x - 1)

y - 9 = -7/5(x - 1)

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Given statement 'A vector is in standard position when the initial point is at the origin.' is True.

In given question,

We have been given a statement 'A vector is in ₋standard ₋position when the initial point is at the origin.'

We know that the tail of a vector is the initial point of the vector.

And the head of a vector is the final point of the vector with an arrowhead.

The definition of standard position of vector is: "When a vector is in a standard position the head of the arrow is at a point (x, y) and the tail of the arrow is at the origin."

Therefore, given statement 'A vector is in standard position when the initial point is at the origin.' is True.

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Answer:

False

Step-by-step explanation:

The rate of change/slope of the linear equation is 8.

The y-intercept is the point where x has no value and y does.

And in the linear equation y = 8x+3, the y-intercept is 3.

Therefore, false.

- Thanks.

Answer: 32 Times

Step-by-step explanation:

4 * 4 * 2 = 32

Answer: 32

Step-by-step explanation:

4*4=16

16*2=32

or just look it up on whatever browser your using.

The next three terms of the sequence are 84.375, 63.28, 47.46

In order to determine the next three terms, the relationship between the numbers have to be determined.

When examined, it can be seen that the next number is 75% of the previous number

150 / 200 = 75%

112.50 / 150 = 75%

The next number would be 75% of 112.50 = 112.50 x 0.75 = 84.375

The second number would be 75% of 84.375 = 0.75 x 84.375 = 63.28

The third number would be 75% of 63.28 = 0.75 x 63.28 = 47.46

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The  periods that you can use for an n period moving average is 3.

The term n period moving average is the type of average that an investor can use to determine the trends in investments and the equities market. This type of average helps the traders to be able to understand the moving trends in the market and also to be able to make forecasts.

The period of the moving average spans across the times that the stock would last. This is determined by the equities market. Hence we can say that number of periods that you can be able to substitute for n to obtain the period moving average is 3.

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Answer:

pretty sure it's -5

Step-by-step explanation:

the cubed root if 125 is 5 so you just make it negative

Answer:

y = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] y{}^{3}=125[/tex]

Step 1: Take cube root.

[tex] \sf \: y= {(125)} ^ {( \frac{1}{3} )}[/tex]

y=5

Radius = 799.877cm

or = 7.99877m(in meters)

Explanation

Radius of a circle from area: if you know the area A, the radius is r = √(A / π).

➟ r = √(201/3.142)

➟ r = √63.98

➟ r = 7.99877m