what is the slope of the line that passes through (−2, 3) and (5, −6) ?responses −12 negative 1 half −1 negative 1 −97 negative fraction 9 over 7 i don't know.

As per the combination method, there are 15 different ways are possible for this situation.

Combination method:

Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.

Given,

Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.

Here we know that that the value of

Total number of students = 6

Best student = 1

Runner - up = 1

So, as per the NCR formula, the value of n = 6 and the value of r = 2

Then the possible combinations are calculated as,

=> ⁶C₂ = 6! / 2!(6 - 2)!

=> ⁶C₂ = 6!/2!4!

=>⁶C₂ = 15

Therefore, the resulting number of ways is 15.

To know more about Combination method here.

https://brainly.com/question/28998705

#SPJ4

Using the given angles, the value of x in the triangle is x = 3

From the question, we are to determine the value of x

Given that the measures are the angles of a triangle ABC.

Then, we can write that

A + B + C = 180° (Sum of angles in a triangle)

From the given information,

A = 75

B = 2 + 11x

C = 70

Thus,

75 + 2 + 11x + 70 = 180

147 + 11x = 180

11x = 180 - 147

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence, the value of x is 3

Learn more on Calculating angles in a triangle here: https://brainly.com/question/12165620

#SPJ1

Considering the figure angle EBF is calculated to 68.75 degrees

Examining the figure and noting the parallel lines

< CBF = < BFE (alternate angels postulates)

< CBF = 42.5

< BFE = 42.5

Triangle BFE is an isosceles triangle given that the two sides are equal the base angles are also equal

Therefore, applying sum of angels of a triangle = 180 we have

< BFE + < FEB + < EBF = 180 (sum of angles of a triangle)

< FEB = < EBF (base angles of isosceles triangle)

let < FEB = x

42.5 + x + x = 180

42.5 + 2x = 180

2x = 180 - 42.5

2x = 137.5

x = 68.75

angle < EBF is solved to be 68.75

Learn more on angles here:

https://brainly.com/question/29322749

#SPJ1

Answer: It takes 3 cups of sugar for 4 cups of cranberry

Step-by-step explanation:

12 cups of sugar, 16 cups of cranberry

Divide both numbers by 4

12/4=3

16/4=4

It takes 3 cups of sugar for 4 cups of cranberry

Answer:

1 5/8

Step-by-step explanation:

9/4x2/2=18/8

18/8-5/8=13/8,

so the answer will  be 1 5/8, yes!

Answer: Given the Total No. of boxes = 72

Step-by-step explanation:

We need to find the number of rows and columns for four layers.

= 74 divided by 4 = 18

For 18 we have some arrangement

= (3 rows, 6 columns) (6 rows, 3 columns) (2 rows, 9 columns) and

(9 rows, 2 columns)

For 4 layers, we have a total of 4 numbers arrangement of rows and columns. Which most preferable is (3 rows and 6 columns) because it gives the balance row and column arrangement. It is always preferred that the number of rows should be lesser than the number of columns.

Answer:

Step-by-step explanation:

Answer:

X =  1

X = -4/5

Hope this helps!

Answer:

  (b)  $9.45

Step-by-step explanation:

You want to know how much Marissa's mom spent at the coffee shop for ...

after her rewards program discount of $0.50 was applied.

Adding up the bill, we find it to be ...

  $3.95 + 2×1.50 +3.00 -0.50 = $9.45

Marissa's mom spent (b) $9.45 at the coffee shop.

<95141404393>

Answer:

Measures are SV=9 units., SY=14 units, YW= [tex]\sqrt{75units}[/tex], YW=[tex]\sqrt{27units}[/tex]

Step-by-step explanation:

===================================================

Explanation:

The circumcenter is found by intersecting the perpendicular bisectors of the triangle.

Segments VY, WY, and XY are perpendicular bisectors of triangle STU.

A perpendicular bisector has two properties:

Perpendicular bisector WY divides side TU into equal pieces TW and WU

In short:

TW = WU

So

TW = 11

since WU is equal to 11 as well

---------------------------------------

Focus on triangle TWY.

This is a right triangle with the sides of...

We'll use the pythagorean theorem to determine the unknown leg.

Plug in a = 11 and c = 14. Then let's solve for b.

[tex]a^2+b^2 = c^2\\\\11^2+b^2 = 14^2\\\\121+b^2 = 196\\\\b^2 = 196-121\\\\b^2 = 75\\\\b = \sqrt{75}\\\\b \approx 8.66025\\\\b \approx 8.7\\\\[/tex]

Therefore, segment YW is roughly 8.7 units.

The probability that the integer is in the range 10 through 20, inclusive is 1/10 .

Given :

an integer is randomly selected from the integers 0 through 99, inclusive. what is the probability that the integer is in the range 10 through 20, inclusive.

The number of integers between 0 and 99 is 100.

And the number of integers between 10 and 20 is 10.

Probability = number of favorable outcomes / number of possible outcomes

= 10 / 100

= 1 / 10

Therefore the probability that the integer is in the range 10 through 20, inclusive is is 1/10.

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ4

[tex]d= \sqrt{ {5}^{2} - 4 \times 2 \times ( - 7) } \\ d= \sqrt{25 + 56} \\ d = \sqrt{81} \\ d = 9[/tex]

The percentage that she spent on present for her sister is 26.67%

What does % example mean?

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Given that :

She spent = 360 * 1/5 = $72 on presents for her parents

she spent = 360 - 72 = 288 * 2/3 = $192 on presents for her friends

She spent = 288 - 192 = $96 on presents for her sister

Percentage of the $360 that she spent on presents for her sisters is

96/360 * 100 = 26.67%

Hence the percentage that she spent on present for her sister is 26.67%

Learn more about percentages

https://brainly.com/question/24877689

#SPJ1

The roster form of the set C={x|x+6=10} is C={4}

A set is mathematically represented in a straightforward way using roster notation. The components (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set comprises more than one element, a comma is used in a roster notation to indicate the separation of every two elements. Since each person is counted separately, the roster form is also known as an enumeration notation.

In the given set, the value of x is such that when it is added with 6 the result is 10.

∴x+6=10⇒x=10-6=4

To learn more about the roster form visit: brainly.com/question/28469852

#SPJ4

It is possible for humans to contract bird flu viruses. There have been outbreaks of two strains, H5N1 and H7N9, that have affected some populations in Asia, Africa, the Pacific, the Middle East, and portions of Europe. Other unusual forms of avian flu that have affected humans in the US have also been reported. The majority of humans who contract bird flu have had direct contact with diseased birds or surfaces that have been contaminated by the saliva, mucus, or droppings of infected birds.

Through their saliva, mucus, and excrement, infected birds spread the bird flu virus. Inhaling the virus or getting it in one's eyes, nose, or mouth can result in human infection with bird flu viruses.

After contacting birds or surfaces that could be contaminated with their saliva, mucus, or feces, whether they are wild or domesticated, avoid touching your mouth, nose, or eyes.

To know more about Time visit:-

https://brainly.com/question/28050940

#SPJ4

Answer:

i can understand your problem

Answer: 8 hours

Step-by-step explanation:

speed = distance/time

time = distance/speed

[tex]time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours[/tex]

The statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

Given:

EFGH is a parallelogram and ∠HEF is a right angle.

Then ∠FGH is also right angle.

Since opposite angles in a parallelogram are congruent.

Hence, the statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.

To know more about parallelogram, click on the link

https://brainly.com/question/970600

#SPJ1

Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

Answer:

the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6} is {15/4, 3, -3/4}. The range is the set of all possible values of y for x in the given domain, which includes the values 15/4, 3, and -3/4.

Step-by-step explanation:

The range of a function is the set of all possible values of the output (y) for a given set of inputs (x). To determine the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6}, you can plug in each value from the domain into the function and solve for y.

When x = -6, y = (-3/4)(-6) + 3/2 = 9/4 + 3/2 = 15/4.

When x = -2, y = (-3/4)(-2) + 3/2 = 3/2 + 3/2 = 3.

When x = 6, y = (-3/4)(6) + 3/2 = -9/4 + 3/2 = -3/4.

Answer: 6 days and 18 hours

Step-by-step explanation: 9/4=1.25 1.25x3=6.75 and so on

The value of x (B) 5 makes the inequality 5x + 6 ≤ 2x + 15 FALSE.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.

So,  we have the inequality:

5x + 6 ≤ 2x + 15

Now put the given values and check as follows:

(A) -2

5x + 6 ≤ 2x + 15

-10 + 6 ≤ -4 + 15

-4 ≤ 11

TRUE

(B) 5

5x + 6 ≤ 2x + 15

25 + 6 ≤ 10 + 15

31 ≤ 25

Correct: 31 > 25

FALSE

Therefore, the value of x (B) 5 makes the inequality FALSE.

Know more about inequality here:

https://brainly.com/question/28964520

#SPJ4

Complete question:
Determine which integer will make the inequality 5x + 6 ≤ 2x + 15 false.

a:{−2}

b:{5}

c:{2}

d:{−5}

 x = 8 , -3 are the factor of x .

What is factor ?

The definition of a factor is a number that divides another number by itself with no remainder. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them.

                         Factors are the figures that can divide an amount precisely. There is therefore no residual after division.

x² - 5x - 24 = 0

x² - ( 8 - 3 )x - 24 = 0

x² - 8x + 3x - 24 = 0

x(x - 8 ) + 3 ( x - 8) = 0

( x + 3 ) ( x - 8 ) = 0

  x = 8 , -3

Learn more about factor

brainly.com/question/24182713

#SPJ1

The complete question is -

x² - 5x - 24 = 0  by factoring.

The solutions are x =

Answer:

x=2

Step-by-step explanation:

4(2)= 8

8 + 3 = 11

..........

Only focus on triangle MPQ

Notice that line OQ is a perpendicular bisector and that MO = OP.

MQ must equal QP

11 = 4x + 3

8 = 4x

8/4 = 4x/4

x=2

Hope this helps

There are two solutions if a is positive, one solution if a is 0, and no solutions if a is negative.

If x² = a, then x can be either positive or negative.

Thus, there are two solutions if a is positive, one solution if a is 0, and no solutions if a is negative.

Example 1: a = 9

If a = 9, then x² = 9,

so x can be either 3 or -3.

Thus, there are two solutions in this case: x = 3 or x = -3.

Example 2: a = 0

If a = 0, then x²= 0,

so x can only be 0.

Thus, there is one solution in this case: x = 0.

Example 3: a = -4

If a = -4, then x² = -4, which is not possible because the square of a real number cannot be negative.

Thus, there are no solutions in this case.

Learn more about solution of equation on:

brainly.com/question/15523338

#SPJ1

The mass of a proton is 0.18 x 10⁴ times the mass of an electron.

Given is that mass of an electron is approximately 9.7 x 10⁻³¹ kilograms and the mass of a proton is approximately 1.7 x 10⁻²⁷ kilograms.

It is given that -

mass of electron = m{e} = 9.7 x 10⁻³¹ kilograms.

mass of proton = m{p} = 1.7 x 10⁻²⁷ kilograms.

Assume that the mass of a proton is [K] times the mass of an electron. So, we can write -

m{p} = K m{e}

K = m{p}/m{e}

K =  (1.7 x 10⁻²⁷/9.7 x 10⁻³¹)

K = (1.7/9.7) x (10⁴)

K = 0.18 x 10⁴

Therefore, the mass of a proton is 0.18 x 10⁴ times the mass of an electron.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

{Question in english language -

The mass of an electron is approximately 9.7 x 10^-31 kilograms. ​The mass of a proton is approximately 1.7 x 10^-27 kilograms. About ,how many times greater is the mass of a proton than the mass of an electron?}

In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.

In the given question, the issue of capital punishment is a hotly debated topic.

Do more republicans than democrats support capital punishment?

A researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment.

In this problem, we want to make inferences about:

A. one mean

B. comparing means from dependent samples

C. comparing means from two independent samples

D. one proportion

E. comparing proportions from two independent samples

F. comparing proportions from dependent samples

As we know that,

A hypothesis test can assist in figuring out whether a variation in the estimated proportions actually reflects a variation in the population proportions. An approximation of the normal distribution is shown by the difference between two proportions. The null hypothesis often argues that the two proportions are equal.

So, a researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.

To learn more about comparing proportions from dependent samples link is here

brainly.com/question/19755788

#SPJ4

Answer:

P'(4,4)

Step-by-step explanation:

⭐ What does it mean to translate a figure?

In the notation you are given ([tex]T__ < x-4,y+7 > P = P'[/tex]), point P is going to be moved 4 units to the left and 7 units up.

⭐How do we translate P?

P' = (8-4, -3 + 7)

∴ P' = (4,4)

If a card is drawn from a pack of 52 playing cards, then the probability that the card will be jack is 1/13

Total number of playing cards in the pack = 52 cards

Number of jack cards in the pack = 4 cards

The probability is the ratio of the number of favorable outcomes to the total number of outcomes

The probability = Number of favorable outcomes / Total number of outcomes

Substitute the values in the equation

The probability that the card will be a jack = 4/52

Simplify the answer

= 1/ 13

Therefore, the probability that the card will be jack is 1/13

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer: First, order them in the order of smallest to largest, which is 40, 60, 70, 80, 80. Then, since there are 5 numbers, the 3rd number, which is 70, would be the median.

Then, add all numbers:

40+60+70+80+80=330

and divide that by 5:

330/5=66

So, the median is 70 and the mean is 66.

Step-by-step explanation:

Answer: 67/15

Step-by-step explanation:

-3+7x-9+8x=54

-12 + 15x = 54

15x = 67

x = 67/15

The energy in an 871 KJ cup of yogurt will last for 18.71 minutes .

In the question ,

it is given that ,

efficiency is = 20% = 0.20 .

the rate of work is 155W ,

we know that Efficiency = [tex]\frac{E_{obtain} }{E_{consumed} }[/tex]

substituting the values ,  

we get ,

[tex]E_{consumed}[/tex] = 155/0.20

= 775 J/sec .

This means that for work of 155W it require to consume energy at the rate of 775 J/sec .

we know that the formula for time , energy and rate  is

Time  = Energy/Rate

time = 871000/775

= 1123 seconds

= 18.71 minutes

Therefore , The energy in the yogurt will last for 18.71 minutes .

Learn more about Efficiency here

https://brainly.com/question/13082009

#SPJ4