which number is the estimated square root of 15 closest to​

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]2 = \frac{y - 2}{5 - 2} [/tex]

Simplify it to get value of"y".

[tex]2 = \frac{y - 2}{3} [/tex]

[tex]6 = y - 2[/tex]

[tex]y = 6 + 2[/tex]

Therefore, y= 8.

Hope it helps...

Answer:

[tex]m\angle{QPR}}=40[/tex]

Step-by-step explanation:

We are given that lines [tex]PQ[/tex] and [tex]PS[/tex] are perpendicular lines, meaning they intersect and each other, and as a result, create a right angle ([tex]90[/tex]).

With that being said, let's add the expressions representative of the two angles and set them equal to [tex]90[/tex] degrees:

[tex]7x-9+4x+22=90[/tex]

Combine like terms:

[tex]11x+13=90[/tex]

Subtract 13 from both sides of the equation:

[tex]11x=77[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]11[/tex]:

[tex]x=7[/tex]

Now, let's substitute this into the expression of angle [tex]QPR[/tex]:

[tex]7(7)-9[/tex]

[tex]=40[/tex]

_

You can check your work by substituting the value of [tex]x[/tex] into the other expression, and then adding that answer with our initial answer to make sure it equals [tex]90[/tex] degrees:

[tex]4(7)+22[/tex]

[tex]28+22=50[/tex]

[tex]40+50=90[/tex]

Since the two angles add up to 90, our answer is correct!

Answer:

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.

Answer:

60

Step-by-step explanation:

Answer:

13/18

Step-by-step explanation:

See attachment

Answer:

y = 3x+7

Step-by-step explanation:

The standard form of equation in slope-intercept form is:

y = mx+c

m is the slope

c is the intercept

Given the coordinates (-3, -2) and (3, 16)

Get the slope;

Slope = ∆y/∆x

Slope = y2-y1/x2-x1

Slope = 16-(-2)/3-(-3)

Slope = 16+2/3+3

Slope = 18/6

Slope = 3

Get the Intercept

Substitute one of the points in the formula:

Using the coordinate (-3, -2)

y = mx+c

-2 = 3(-3)+c

-2 = -9 + C

c = -2+9

c = 7

Get the equation of the line by substituting m and c into the equation y = mx+c

y = 3x+7

Step-by-step explanation:

solve by using the formula

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

Learn more about circle here:

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#SPJ2

Answer:

1) 4

2) -11

3) 1

4) -2

Step-by-step explanation:

Answer:

4 m/s

Step-by-step explanation:

Take the number of meters and divide by the number of seconds

12 m/3s

4 m/s

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0

Answer:

y = 6

x = 0.2

Step-by-step explanation:

5x + y =7

20x + 2 = y

5x(4) + y(4) = 7(4)

20x + 4y = 28

(20x = 28 - 4y) = (20x = y - 2)

28 - 4y = y - 2

30 - 4y = y

30 = 5y

y = 6

5x + y =7

20x + 2 = y

y = 7 - 5x

7 - 5x = 20x + 2

5 - 5x = 20x

5 = 25x

x = 0.2

9514 1404 393

Answer:

  $11.69 per pound

Step-by-step explanation:

To find price per pound, divide price by pounds:

  $46.76/(4 lb) = $11.69/lb

Answer:

G

Step-by-step explanation:

50 dollars is the initial value of 0 deposits

150 dollars is equal to 1 deposit

Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.

Step-by-step explanation:

Given: A popular restaurant advertises that it delivers its orders within 30 minutes.

Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.

z-score value represents the number of standard deviations is the data value is far from mean.

Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.

Hence, the correct option is B.

Answer:

B

Step-by-step explanation:

Answer:

Kindly check explanation and attached picture

Step-by-step explanation:

Given the data:

Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12

Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8

a. Make a scatter plot of mean weight against age.

Scatter plot of mean weight against age can be found in the attached picture

b. Is there a positive or negative association between the two variables

There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive

Answer:

no they are not

Step-by-step explanation:

priyas paint would be darker then mais paint because priya added an extra cup of red paint.

Answer:

D

Step-by-step explanation:

Cause the calculator says so...

Answer:

65.44

Step-by-step explanation:

I copied and pasted but this is the answer 65.44

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

Answer:

Zeros

Roots

Solution (Set)

Step-by-step explanation:

As you can tell there are a handful of different names!

Answer:

STEP 3.) x = 9/8

Step-by-step explanation:

x + 5/8 = 7/4

x + 5/8 - 5/8 = 7/4 - 5/8

= x =9/8

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

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Answer: a c e are the correct ones i think

Answer:

y=408

Step-by-step explanation:

y is directly proportional to x

y=kx (where k is the constant)

102=6k

102÷6=k

17=k

y=17x

find y when x=24

y=17(24)

y=408

Answer:

44percent

Step-by-step explanation:

in order to find the percent you just divide the numerator by the denomincator, hope this helps!

Answer:

2m/s^2

Step-by-step explanation:

the difference between 30 and 40 is 10. divide 10 by 5 and you get 2

Answer:

The answer is 2m/s2

Step-by-step explanation:

i got it right

Answer:

4,963.85

Step-by-step explanation:

Answer:

6.0042

Step-by-step explanation:

6 and forty-two ten-thousandths as a decimal.

mixed number : [tex]6\frac{42}{10,000}[/tex]

decimal : 6.0042

Answer:

D

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

Answer:

y = -7

Step-by-step explanation:

The equation of a line is:

y = mx + b    where m = slope

To find b, plug in a point and solve.

(-6,-7)

y = mx + b

-7 = 0(-6) + b

- 7 = 0 + b

-7 = b

So the equation is:

y = 0x + b or

y = -7

No matter what you plug into x, y = -7, because your slope is 0.

The equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

Point through which the given line passes ≡ (-6,-7)

The slope of the line =0

The equation of a straight line passing through the point (x₁, y₁) is given by: [tex]y-y_1 =m(x-x_1)[/tex]

where m is the slope of the line.

So, the equation of the line that passes through the point (-6,-7) and with slope 0 will be:

[tex]y-(-7) = 0(x-(-7))[/tex]

[tex]y+7 =0[/tex]

[tex]y =-7[/tex]

So, the required equation of the line is y=-7.

Therefore,  the equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

To get more about straight lines visit:

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