What is the slope of the line with equation y + 2 = 5 (x - 3) ?

Answer:

  >

Step-by-step explanation:

1 - 3 ?? -4

-2 ?? -4

The appropriate symbol for this ?? relation is >.

  1 -3 > -4

Answer:

She has 28 pennies

Step-by-step explanation:

Janae has 280 dimes in her piggy bank she has 10 times as many pennies .

If she has 280 dimes in piggy bank

And has 10 times as many pennies

Let dimes= x

Let pennies= y

X= 10y

But x= 280

280= 10y

280/10 = y

28 = y

She has 28 pennies

Answer:

2,4

Explanation:

Because a midpoint is the middle of the line

Answer:

[tex]mAB=(2,4)[/tex]

Step-by-step explanation:

Step 1: Use the midpoint formula to solve

[tex]mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )[/tex]

[tex]mAB=(\frac{0+4}{2},\frac{6+2}{2} )[/tex]

[tex]mAB=(\frac{4}{2},\frac{8}{2} )[/tex]

[tex]mAB=(2,4)[/tex]

Therefore the midpoint on the line segment AB is (2,4)

Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

Answer:

Rate of depreciation = 27%

Step-by-step explanation:

Given:

Purchase price = $32,650

Rate in 2020 = $23,834.50

Find:

Rate of depreciation

Computation:

Depreciation = Purchase price - Rate in 2020

Depreciation = $32,650 - 23,834.50

Depreciation = $8,815.5

Rate of depreciation = [8,815.5 / 32650] 100

Rate of depreciation = 27%

Question:

At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:

Answer:

[tex]Probability = \frac{1}{125}[/tex]

Step-by-step explanation:

Given

Population = 12,500

Selection = 100

Required

Determine the probability that the selected person will win a prize

To do this, we simply divide the number of those that needs to be selected by the total population;

i.e.

[tex]Probability = \frac{Selection}{Population}[/tex]

[tex]Probability = \frac{100}{12500}[/tex]

Divide the numerator and denominator by 100

[tex]Probability = \frac{1}{125}[/tex]

Hence, the required probability is ;

[tex]Probability = \frac{1}{125}[/tex]

Complete question is;

Multiple-choice questions each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.

Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find P(WWWWC), where C denotes a correct answer and W denotes a wrong answer.

P(WWWWC) =

Answer:

P(WWWWC) = 0.0819

Step-by-step explanation:

We are told that each question has 5 possible answers and only 1 is correct. Thus, the probability of getting the right answer in any question is =

(number of correct choices)/(total number of choices) = 1/5

Meanwhile,since only 1 of the possible answers is correct, then there will be 4 incorrect answers. Thus, the probability of choosing the wrong answer would be;

(number of incorrect choices)/(total number of choices) = 4/5

Now, we want to find the probability of getting the 1st 4 guesses wrong and the 5th one correct. To do this we will simply multiply the probabilities of each individual event by each other.

Thus;

P(WWWWC) = (4/5) × (4/5) × (4/5) × (4/5) × (1/5) = 256/3125 ≈ 0.0819

P(WWWWC) = 0.0819

$915 I’m pretty sure

Answer:

Verbal expression =9(x+8) =7

Step-by-step explanation:

Let the unknown number be x

[tex]9(x+8) =7\\[/tex]

Further solution ;

[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]

Answer:

112

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

ans

a) Rational

Hope this helps you...

learners of Agriculture: 34/58

semplify it

divide by 2

34 > 17

58 > 29

they are prime numbers, so can't be semplify anymore

17/29 will do Agriculture

in percentage we have a proportion:

17 : 29 = x : 100

x = (17 * 100) / 29 = 1700 / 29 ≅ 48,62

The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.

The largest leaf in the bottom row is 7 and that represents

7*(10 thousand) = 70 thousand = 70,000

Adding the stem and leaf values gets us

300,000 + 70,000 = 370,000

Answer:

y= 3(x-1)^2+2

Step-by-step explanation:

The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.

HOPE THIS HELPED!

HAVE A GREAT DAY!

The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.

Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.

  ax² + bx + c

–3x² – 6x + 5

Therefore, the value of a, b, and c is -3, -6, and 5.

Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,

h = -b/(2a) = -(-6)/(2 × -3) = -1

k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8

Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ2

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)

m = [tex]\frac{-2-4}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 2 ), then

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - 2x + 2 ← equation of line

Answer:

85.6

Step-by-step explanation:

you just add the numbers which is 428 and divide that by 5 which is 85.6

Answer:

85.6

Step-by-step explanation:

To find the mean, add up all the scores then divide by the number of tests

(76+ 88+ 82+ 94+88)/5

428/5

85.6

Answer:

Can you show the diagram please?

Answer:

D.

Step-by-step explanation:

A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'

When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.

For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.

Another example of an irrational number is √2.

Thus the correct statement that defines irrational number is option D.

Answer:

D. a number with a nonrepeating and nonterminating decimal expansion​

Step-by-step explanation:

Answer:

2.69 x [tex]10^{9}[/tex]

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x [tex]10^{9}[/tex] ≈ 2.69 x [tex]10^{9}[/tex]

The number of times a heart will beat in 73 years is required.

The heart will beat [tex]1.6\times 10^{11}\ \text{times}[/tex] in a lifetime.

The number of times heart beats per minute is 70.

Number of years in a lifetime is 73 years

Ignoring leap year a year has 365 days.

So minutes in a leap year is

[tex]365\times 24\times 60\times 60[/tex]

Minutes in a lifetime of 73 years

[tex]73\times 365\times 24\times 60\times 60[/tex]

The product of beats per minute and the minutes in a lifetime will given the required heart beats

[tex]70\times 73\times 365\times 24\times 60\times 60=1.6\times 10^{11}\ \text{beats}[/tex]

Learn more about algebra:

https://brainly.com/question/6143254

Answer:

3rd Option: -1

5th Option: 2

7th Option: i√6

8th Option: -i√6

Step-by-step explanation:

Graph the function first to find our real root factors.

When you find your real root factors, factor the equation down with x + 1 and x - 2 and then use Quadratic Formula to find complex roots.

Answer:

-2, 1. i[tex]\sqrt{6}[/tex], and -i[tex]\sqrt{6}[/tex]

Step-by-step explanation:

just took the test

Answer:

Multiplying a number by -1 means the sign on the number is made opposite. If the number was positive, it becomes negative. If the number was negative, it becomes positive.

edmentum answer!!

Answer:

d.f.(treatment) = 6

d.f.(error) = 35

Step-by-step explanation:

In the question we have

k = 7

r= 6

n= rk= 42

1. The degrees of freedom for the numerator is calculated as under

d.f.(treatment) = k-1= 7-1= 6

Where k gives the number of columns

2. The degrees of freedom for the denominator is calculated as under

d.f.(error) = k (r-1)= n-k= 42-7=35

where k gives the number of columns and r gives the number of rows.

This is for one way ANOVA as asked above.

Answer:

a. x = 9

b. x = 3.6

Step-by-step explanation:

a. By Basic proportionality theorem:

AB/BD = AC/CE

4/4 = x/9

1 = x/9

9 = x

x = 9

b.

[tex] In \: \triangle ABC \: \& \: \triangle EDF\\

\angle B \cong \angle D....(given) \\

\angle C \cong \angle F.....(given) \\

\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\

\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\

\therefore \frac{2}{5} = \frac{x}{9}\\

\therefore x = \frac{2\times 9}{5} \\

\therefore x = \frac{18}{5} \\

\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

[tex]p, q, r, s[/tex]

The average will be Sum of all numbers divided by count of numbers.

[tex]\dfrac{p+ q+ r+ s}4[/tex]

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

[tex]\dfrac{p+ q+ r+ s}4 <p[/tex]

[tex]\dfrac{p+ q+ r+ s}4 <q\\\dfrac{p+ q+ r+ s}4 <r\\\dfrac{p+ q+ r+ s}4 <s[/tex]

Now, let us add all of them:

[tex]\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4<p+q+r+s\\\Rightarrow p+q+r+s<p+q+r+s[/tex]

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

An average of four real numbers will be greater than or equal to at least one of the four real numbers.

What is average?

An average is simply defined as the mean of the given set of numbers. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Prove the following using proof by contradiction.

The average of four real numbers is greater than or equal to at least one of the numbers.

Method of a contradiction means we assume opposite to the fact to be proved and then we contradict our assumption.

Let the four numbers be a, b, c, and d.

The average will be

[tex]\rm \dfrac{a+b+c+d}{4}[/tex]

Now let us assume the opposite that the average is less than all the numbers.

[tex]\rm \dfrac{a+b+c+d}{4} < a\\\\\rm \dfrac{a+b+c+d}{4} < b\\\\\rm \dfrac{a+b+c+d}{4} < c\\\\\rm \dfrac{a+b+c+d}{4} < d[/tex]

Let us add all of them.

[tex]\rm \rightarrow \dfrac{a+b+c+d}{4} +\dfrac{a+b+c+d}{4} +\dfrac{a+b+c+d}{4}+\dfrac{a+b+c+d}{4} < a+b+c+d\\\\\rightarrow \dfrac{4(a+b+c+d)}{4} < a+b+c+d\\\\\rightarrow a+b+c+d < a+b+c+d[/tex]

That can never be possible hence, our assumption is contradicted.

Our assumption is wrong.

Therefore, by contradiction, it is proved that;

An average of four real numbers will be greater than or equal to at least one of the four real numbers.

More about the average link is given below.

https://brainly.com/question/897199

Your question is not complete

Answer:

parallel

Step-by-step explanation:

u = <-9,9,3>

v = <12,-12,-4>

test if the given vectors are orthogonal ( dot product = 0 )

we have to find the dot product of the vectors to determine is it will be = 0

u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0

hence the given vectors is not orthogonal

next check if the vectors are linearly dependent

(-9/12 ) = - 3/4

(9/-12)  =  - 3/4

( 3/-4 )  = - 3/4

since they are linearly dependent then they are parallel

Answer:

[tex]i^{54}=-1[/tex]

Step-by-step explanation:

First, recall the 4 basic imaginary exponents:

[tex]i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1[/tex]

So, we want to find:

[tex]i^{54}[/tex]

This is the same as:

[tex]=i^{52}\cdot i^2[/tex]

52 is 4 times 13. Thus:

[tex]=(i^4)^{13}\cdot i^2[/tex]

Since we know that i to the fourth is 1:

[tex]=(1)^{13}\cdot i^2[/tex]

Simplify:

[tex]=i^2[/tex]

And this equals:

[tex]=-1[/tex]

So:

[tex]i^{54}=-1[/tex]

Answer:

5

can be done by multiplication multiplicative property

Step-by-step explanation:

2/3 * (3/2 * 5)

1st = 2/3 * 3/2 * 5

2nd = 2 * 3 * 5

             3 * 2

3rd = 3 * 5

            3

therefore

the answer = 5

Answer:

[tex]\Large \boxed{\mathrm{associative \ property \ of \ multiplication}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The associative property of multiplication can be use to make the problem easier to solve.

In associative property of multiplication, when we multiply a bunch of numbers, we can group the numbers in any combination.

[tex]a \times (b \times c) = (a \times b) \times c[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

a. DC

b. B

c. ED

Ray CD is the same as ray DC.

A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.

The opposite ray to ray EC is ray ED. The two rays are opposite to each other.