Find AB if (-9,2) and B(5,-4)​

Answer:

28 days

Step-by-step explanation:

Day 1  = 3 m,  day 1 end = 3 - 1 = 2 m

Day 2 end = 2 + 3 -2 = 3m

Day3 end = 3 + 3- 2 = 3 +1 = 4m

On 27th day end = 26+ 3 - 2 = 27 m

On 28th day =27 + 3 = 30 m

Answer: The infinite geometric series converges to 38.4

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

Explanation:

Divide each term by its previous term

term2/term1 = 9.6/19.2 = 0.5

term3/term2 = 4.8/9.6 = 0.5

The common ratio is r = 0.5

Since -1 < r < 1 is true, this means the infinite geometric series converges.

It converges to...

S = a/(1-r)

S = 19.2/(1-0.5)

S = 38.4

Answer:

Top is right

Step-by-step explanation:

Answer:

[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Answer:

2+2x=y  

Step-by-step explanation:

We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y  

Answer:

the fifth number is 11

Step-by-step explanation:

8,11,13 and 17, x

the mean is =12  ( which means the sum of the terms divided by the numbers of terms )

to find the mean :

(8+11+13+17+x)/5 =12

5*12=49+x

60-49=x

x=11

Number of red roses a florist has = 49

Number of white roses a florist has = 63

To find the number of centerpieces with equal number of white and red roses we will find the greatest common factor of both the numbers,

49 = [tex]7\times 7[/tex]

63 = [tex]7\times 9[/tex]

GCF of 49 and 63 = 7

Therefore, number of centerpieces = 7

Now divide the total number of red roses by GCF to find the number of red flowers in each centerpiece.

Number of red roses in each centerpiece = 7

Similarly, number of white roses in each centerpiece = 9

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Slope intercept form needs two things. The slope and y-intercept.

y = mx + b

m = the slope

b = y-intercept.

In this problem, we are given the slope and a point the line passes through.

m = -3/4

So far we have y = -3/4x + b

To find b, we need to plug the point into the line.

-4 is the x-coordinate, so we plug -4 into x

7 is the y-coordinate, so we plug 7 into y

7 = -3/4(-4) + b

Simplify.

7 = 3 + b

Subtract 3 from both sides.

4 = b

Our equation is: y = -3/4x + 4

The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is  y = (-3/4) x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

(-4,7);m=-3/4

The equation of a linear line in point-slope point is given as,

y = mx + c

Put (-4,7);m=-3/4

7 = -3/4 (-4) + c

c = 7 - 3 = 4

Thus equation will be as, y = (-3/4) x + 4

Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".

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Answer:

[tex]f^{-1}(0)=6[/tex]

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

[tex]f^{-1}(0)[/tex]

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

[tex]f^{-1}(0)=y[/tex]

This means that we have the point:

[tex](0,y)[/tex]

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

[tex](x,0)[/tex]

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

[tex]f(6)=0[/tex]

So:

[tex]f^{-1}(0)=6[/tex]

And we're done!

Answer:

b.False it equals x=1

Answer:

2 3 and 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:c and d

Step-by-step explanation:

Statements in the options 3 and 4 are true inequalities.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here,

1) a - b < a + b

Here, the statement is not true.

2) ac ≥ bc

Here, the statement is not true.

3) If a ≥ b, then a + c ≥ b + c

Here, the statement is true.

4. If c > d, then a-c < a-d

Here, the statement is true.

5) If a < b, then a < b + c

Here, the statement is not true.

Therefore, options 3 and 4 are correct answers.

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-6) and (-3,-2)

The distance is

[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer:

Depends on what is the problem!

Answer:

x=-3.5

Step-by-step explanation:

3(x-1)+2=5x+6

3x-3+2=5x+6

3x-1=5x+6

3x-5x=6+1

-2x=7

[tex] - \frac{7}{2} [/tex]

x=-3.5

Area of triangle = 1/2 × b × h

b = base and h = height

Area = 1/2 × (x+4) × (2)

Area of rectangle = lb

l = Length and b = Breadth

Area = 10 (x + 2)

Area = 10x + 20

The area of rectangle is 8 times greater than the area of the triangle.

According to the question,

10x + 20 = 8(x+4)

or, 10x + 20 = 8x + 32

or, 10x - 8x = 32 - 20

or, 2x = 12

or, x = 12/2 = 6

The value of x is 6.

Hence, Option D. 6 is correct.

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                             = 10 *(x +2)

                             = 10*x + 10*2

                             = 10x + 20   unit²

Area of triangle = [tex]\frac{1}{2}bh[/tex]

                          [tex]=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4[/tex]

Area of rectangle  = 8*area of triangle

10x + 20 = 8* (x+ 4)

10x + 20 = 8x + 32           {Subrtact 20 from both sides}

        10x = 8x + 32 - 20

        10x = 8x + 12   {subtract 8x form both sides}

  10x - 8x = 12

         2x = 12     {divide both sides by 2}

      2x/2 = 12/2

          x = 6

Hope this helps!

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Answer:

exact form = 1/625

decimal form = 0.0016

The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

From the question,

We are to evaluate 5^-4.

First, we will write the expression properly.

The given expression is 5⁻⁴

Now, we will write the expression as a fraction

From one of the laws of indices, we have that

[tex]a^{-x} =\frac{1}{a^{x} }[/tex]

Therefore,

[tex]5^{-4} =\frac{1}{5^{4} }[/tex]

In simplest form

[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]

Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

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Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

Answer:

2 1/4 inches longer

THE CORRECT ANSWER IS 2 1/4. hope this help

Answer:

0.034

Step-by-step explanation:

thirty-four thousandths

or

zero point zero three four

Answer:

8 1/2 hour periods will make up 4 hours.

Step-by-step explanation:

half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.

hope this helps! best of luck <3

Answer:

Step-by-step explanation:

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

Answer: The mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.

Step-by-step explanation:

Formula : Mean  of the sampling distribution of sample proportions

[tex]\mu_p= p[/tex]

Standard error of the sampling distribution of sample proportions

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]

, where p = population proportion

n= sample size

Here, p =0040

n= 500

So , Mean  of the sampling distribution of sample proportions

[tex]\mu_p= 0.40[/tex]

Standard error of the sampling distribution of sample proportions

[tex]\sigma_p=\sqrt{\dfrac{0.40(1-0.40)}{500}}\\\\=\sqrt{\sdfrac{0.40\times0.60}{500}}\\\\=\sqrt{\dfrac{0.24}{500}}\\\\=\sqrt{0.00048}\\\\\approx0.0219[/tex]

Hence, mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.

Answer:

Mean = 0

Variance = 4/3

Standard Deviation √4/3

a= 0.9

Step-by-step explanation:

If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12

Here a=  -2 and b= 2

Now finding the mean = a+b/2=-2+2/2= 0

Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3

Standard Deviation = √Variance= √4/3

b) [tex]\int\limits^a_b f({x}) \, dx[/tex]=  \int\limits^a_a {\frac{1}{a- (-a)} } \, dx

                =1/2a[x]^a_-a= 2a/2a= 1  (applying the limits to the function)

P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a    (applying the limits to the function)

P(−a<X<a)= 0.9

a= 0.9

In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.

Using the uniform distribution, we have that:

An uniform distribution has two bounds, a and b.

In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].

The mean is:

[tex]E(X) = \frac{a + b}{2}[/tex]

Hence:

[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]

The variance is:

[tex]V(X) = \frac{(b - a)^2}{12}[/tex]

Hence

[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]

The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]

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