Which describes the intersection of line m and line n?

Answer:

d = 3 in

Step-by-step explanation:

Since we are trying to find the diameter, and the diameter is given to us as 3 in, our diameter is 3 in.

Answer:

Option (C)

Step-by-step explanation:

Option (A):

(-1, -2),(0, 4), (1, 3), (5, 14), (7, 4)

In these ordered pairs (4, 4) and (7, 4) have the same y-value.

This function is not a one-to-one function.

Therefore, this function will have no inverse function.

Option (B):

(-1, 2), (0,4), (1, 5), (5, 4), (7, 2)

(-1, 2) and (7, 2) have the same output values for input values -1 and 7.

This function is not a one-to-one function.

Therefore, this function will have no inverse function.

Option (C).

(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)

For every input value there is a different output value in these pairs.

So the function is one-to-one function.

Therefore, inverse of this function will be a function.

Option (D).

(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)

Here (-1, 4) and (0, 4) show the same y-value which shows, the given function is not a one-to-one function.

Therefore, inverse of this function will not be a function.

Answer:

upper sum= 0.859

lower sum = 0.659

Step-by-step explanation:

y = √(1 − x²)

if n= 5

Answer:

The correct answer is the last option (-2, 8)

Step-by-step explanation:

You can see that the lines intersect at the point -2, 8.

Hope this helped! :)

Answer:

D.

Step-by-step explanation:

The point (-2,8) is the only given point that is on the two lines in this graph.

If you want to make sure, you can just use a graphing calculator on your laptop/ computer & zoom in on it. Hopefully this helps & gets a brainliest. Thx for giving me time.

Answer:

Yes

Since the time taken t= 7.58 hours required to complete both buildings is less than the 8-hours shift then she can finish the two buildings.

Step-by-step explanation:

Given;

Building A = 3,000 square feet

Building B = 2,460 square feet

Total area of building A and B = 3,000+2460

= 5460 square feet

Rate = 5 seconds per square foot

Time taken to complete both buildings is;

Time t = Total area × rate per area.

t = 5460 × 5 seconds

t = 27300 seconds

t = 27300/60 minutes = 455 minutes

t = 455/60 hours

t = 7.583333333333 hours

t = 7.58 hours

Since the time taken t required to complete both buildings is less than the 8-hours shift then she can finish the two buildings.

Answer:

[tex]y = -3/2x + 4[/tex]

Step-by-step explanation:

[tex](2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4[/tex]

Answer:

Nikki grows 20 tomato plants and she measures their heights.

We want to complete the frequency table.

All we have to do is count the number of values that fall between each range.

The values are:

5  10  12  16  14

17  20  15  10  7

13  11  6  18  15

6  12  17  8  12

  Height              Frequency

-> 5 ≤ h < 10             5

10 ≤ h < 15                8

15 ≤ h < 20               6

20 ≤ h < 25               1

Answer:

x=-52

Step-by-step explanation:

1/3x=-17 1/3

x=-52

Answer:

E. 1, 2, 3, and 4

Step-by-step explanation:

Well all them are equal,

both rectangles in part 2 has a 3cm^2 area.

Both red and green in part 4 has 2 squares and 1 triangle or half of a square.

Both of part 3 have all the same shapes in them.

Same with part 1 both shapes have same area and perimeter.

Thus, answer choices E. 1,2,3, and 4 is correct.

Answer:

[tex]\frac{12}{x^2 +7x}[/tex]

Step-by-step explanation:

Simply multiply straight across which you get

12/X X × ( X +7 )

Then just multiply X into the parenthesis

Hope this helps :)

Answer:

B. y=-4x+2

Step-by-step explanation:

y-6=-4x-4

y=-4x-4+6

y=-4x+2

Answer:

Yearly budget= $3840

Monthly budget= $320

Step-by-step explanation:

His budget will be calculated first by rounding off to the nearest$10 all his monthly spending.

For groceries= $176.47

Round off=$ 180.00

For phone =$ 78.66

Round off = $80.00

For gas = $62.37

Round off= $60.00

His total round off = $180+$80+$60

His total round off = $320

Before the round off, his total spending was $176.47+$78.66+$62.37

= $317.5

So his monthly budget should be $320

And yearly budget =$ 320*12

Yearly budget= $3840

Answer:

The dollar amount 8 years from now of $500 invested at 7% annual interest is $859.09

Step-by-step explanation:

In order to calculate the dollar amount 8 years from now of $500 invested at 7% annual interest we would have to calculate the following formula:

dollar amount=PV*(1+r)∧n

According to the given data we have the following:

PV=$500

r=7%

n=8

Therefore, dollar amount=$500*(1+0.07)∧8

dollar amount=$859.09

The dollar amount 8 years from now of $500 invested at 7% annual interest is $859.09

Answer:

2x+1/(x-2)(x²+1)= 1/(x-2) + (-2x )/(x²+1)

Step-by-step explanation:

2x+1/(x-2)(x²+1) = a/(x-2) + (bx+c)/(x²+1)

Multiplying with the denominators

2x+1= a(x²+1) +( bx+c)(x-2)

Let x = 2

2(2) + 1 = a(2² + 1) + 0

5 = a5

a = 1

Then let's expand the brackets

2x +1= ax² + a + bx² -2bx + cx - 2c

Comparing co-efficients

ax² + bx² = 0

a + b = 0 equation 1

a -2c = 1 equation 2

-2bx + cx = 2x

-2b + c = 2 equation 3

Let's remember a= 1

a + b = 0

1 + b= 0

b = -1

a -2c = 1

1 - 2c = 1

c= 0

-2b + c = 2

-2(-1) + 0 = 2

2= 2. Verified.

a/(x-2) + (bx+c)/(x²+1)

= 1/(x-2) + (-2x )/(x²+1)

2x+1/(x-2)(x²+1)= 1/(x-2) + (-2x )/(x²+1)

Answer:

-17x + y = 128

Step-by-step explanation:

First, find the slope.

[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{9-(-8) }{-7-(-8)}\\m=\frac{9+8 }{-7+8}\\m=\frac{17}{1} \\m=17[/tex]

Now, use point-slope form to find the equation.

y - y = m(x - x)

y - 9 = 17(x - (-7))

y - 9 = 17(x + 7)

y - 9 = 17x + 119

y = 17x + 128

Since your equation needs to be in Ax + By = C form, rearrange the equation so that the x and y values are on the left side of the equation.

y = 17x + 128

-17x + y = 128

Answer:

T < -25

Step-by-step explanation:

Was correct on TTM

Answer:

33.777 yd = 0.030886 km

Step-by-step explanation:

==>Given:

33.777 yd

==>Required:

Convert 33.777 yd to km to 6 decimal places, using the metric and U.S systems.

==>Solution:

To convert, note that 1 km = 1093.6133 yd.

Thus,

1 km = 1093.6133 yd

x km = 33.777 yd

Cross multiply

1 × 33.777 = 1093.6133 × x

33.777 = 1093.6133x

Divide both sides by 1093.6133, to solve for x

33.777/1093.6133 = x

0.03088569 = x

x ≈ 0.030886 (to 6 decimal places)

Therefore, 33.777 yd = 0.030886 km

Answer:

SSA the only other right one missing is ASA

Answer:

A

Step-by-step explanation:

For lines to be parallel, their slopes need to be the same.

For lines to be perpendicular, the product of their slopes needs to be -1.

None of these conditions are met since the slopes are 2 and 4 respectively.

Sooo.... The answer must be A! :)

Answer:

The lines given are neither perpendicular nor are they parallel.

Step-by-step explanation:

In order for two lines to be be parallel, they must have the same slope but different y-intercepts. In order for two lines to be perpendicular, one line has to have a slope that is the negative reciprocal of the other line.

We are given two line equations.

y = 2x

y = 4x + 1

These lines do not represent a perpendicular situation nor do they represent a parallel situation.

The greatest number is 6.23 times 10 superscript 12.

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

We are given that the number so;

A.6.23 x 10^12 is equivalent to rolling the decimal 12 times to the right.

B.6.23 x 10^8 is equivalent to rolling the decimal 8 times to the right.

C.6.23 x 10^-6 is equivalent to rolling the decimal 6 times to the left.

D.6.23 x 10^3 is equivalent to rolling the decimal 3 times to the right.

This shows the 10 has been multiplied by itself thrice.

Learn more about scientific notation here:

https://brainly.com/question/3112062

#SPJ6

Answer:

Average cost

= [200,000 + 5,700x + 4,200y − 100,000e−⁰•⁰¹⁽ˣ ⁺ ʸ⁾] ÷ (x + y)

Step-by-step explanation:

Average cost is the cost per unit of production. It is expressed mathematically as the total cost divided by the total number of units produced.

If total cost = C(x, y)

Average cost = C(x, y) ÷ (x+y)

For this question, total cost function is

C(x, y) = 200,000 + 5,700x + 4,200y − 100,000e−⁰•⁰¹⁽ˣ ⁺ ʸ⁾

The average cost is simply this total cost function divided by the total number of units produced.

Average cost

= [200,000 + 5,700x + 4,200y − 100,000e−⁰•⁰¹⁽ˣ ⁺ ʸ⁾] ÷ (x + y)

If numerical values are then provided, this can then be worked around. But as the numerical values are absent, the average cost function just remains in this its raw form.

Hope this Helps!!!

Answer:

60 ml of 40% saline and 90 ml of 15% saline

Step-by-step explanation:

We can call the amount of 40% solution x and the amount of 15% solution y.

x + y = 150 -- (1)

0.40x + 0.15y = 150 * 0.25 -- (2)  --- 150 * 0.25 = 37.5

40x + 15y = 3750 (Multiply (2) by 100 to get rid of decimals)

15x + 15y = 2250 -- (3) (Multiply (1) by 15)

25x = 1500           (Subtract (3) from (1)

x = 60

y = 150 - 60 = 90

Answer:

[tex] 37.5= 0.4 x +0.15 y[/tex]

We can solve for x and we got:

[tex] x= \frac{37.5-0.15y}{0.4}= 93.75-0.375 y[/tex]

And replacing into the water condition we have:

[tex] 112.5 = (93.75-0.375 y)*0.6 +0.85y[/tex]

Solving for y we got:

[tex] 112.5= 56.25 -0.225 y+0.85 y[/tex]

[tex] y = \frac{112.5-56.25}{0.625}= 90[/tex]

And then solving for x we got:

[tex] x=\frac{37.5- 0.15*90}{0.4}= 60[/tex]

So we need 60 ml for the solution of 40% saline and 90 ml for the 15% saline solution

Step-by-step explanation:

We can solve this problem with the following system of equations:

[tex] 150*0.25 = x*0.4 + y *0.15[/tex] salt

[tex] 150*(1-0.25)= x(1-0.4) +y(1-0.15)[/tex] water

With x the ml of solution for 40% concentration and y the ml of solution at 15% of concentration

From the salt condition we have:

[tex] 37.5= 0.4 x +0.15 y[/tex]

We can solve for x and we got:

[tex] x= \frac{37.5-0.15y}{0.4}= 93.75-0.375 y[/tex]

And replacing into the water condition we have:

[tex] 112.5 = (93.75-0.375 y)*0.6 +0.85y[/tex]

Solving for y we got:

[tex] 112.5= 56.25 -0.225 y+0.85 y[/tex]

[tex] y = \frac{112.5-56.25}{0.625}= 90[/tex]

And then solving for x we got:

[tex] x=\frac{37.5- 0.15*90}{0.4}= 60[/tex]

So we need 60 ml for the solution of 40% saline and 90 ml for the 15% saline solution

Answer:

[tex]\boxed{10 elements}[/tex]

Step-by-step explanation:

[tex]n(P) = 22[/tex]

[tex]n(Q) = 28\\[/tex]

n(P∪Q) = 40

Using Formula

n(P∪Q)=n(P)+n(Q)−n(P∩Q)

For, n(P∩Q), it becomes

=> n(P∩Q)=n(P)+n(Q)−n(P∪Q)

So,

=> n(P∩Q) = 22+28-40

=> n(P∩Q) = 50-40

=> n(P∩Q) = 10 elements

Answer:

Of the total 31 + 20 + 6 + 6 + 6 = 69 medals, the USA won 31 of them. 31/69 as a percentage is about 45%. Since there are 360° in a full circle, 45% of that is 0.45 * 360 = 162°.

Answer:

How many degrees will the USA section be in a circle graph?

31°

162°

45°

184°

Step-by-step explanation:

162° THIS ONE IS RIGHT

PLEASE GIVE ME A Brainiest PLEASE AND THX

HOPE IT HELP

Step-by-step explanation:

line A can be written as y1= 3/4.x -5/4

line B is a linear function : y2= ax +b

4a+b=7 and -a +b =3 so a=4/5 and b=19/5

so y2=4/5x +19/5

so they are not parallel

Line A goes through (0,-5/4) and (1,-1/2)

Gradient of line A = G1= (-1/2 - (-5/4))/(1-0) =3/4=0.75

Gradient of line B= G2= (7/3)/(4-(-1))=4/5=0.8

The Line A and Line B are not parallel to each other.

The equation of line A is,

                           [tex]3x-4y=5[/tex]

Now write in slope intercept form,

                       [tex]3x-4y=5\\\\4y=3x-5\\\\y=\frac{3}{4} x-\frac{5}{4}[/tex]

Slope of line A is [tex]\frac{3}{4}[/tex].

Equation of line B is,

                    [tex]y-7=\frac{3-7}{-1-4}(x-4) \\\\y-7=\frac{4}{5} x-\frac{16}{5}\\ \\y=\frac{4}{5} x+\frac{19}{5}[/tex]

Slope of line B is [tex]\frac{4}{5}[/tex]

Since, the slope of both line A and B are different. therefore, Line A and Line B are not parallel to each other.

Learn more about the parallel lines here:

https://brainly.com/question/24607467

Answer:

Step-by-step explanation:

16. m<CAD + m<DAE = [tex]90^{O}[/tex]  -  Definition of complementary angles

18.  m<CAD + m<DAE = m<CAE =  [tex]90^{O}[/tex]   -  Substitution property

20. m<CAE =   [tex]90^{O}[/tex]                      -  Definition of perpendicular

21. AE ⊥ AC  -  AE is tangent to circle C

To prove that AE is tangent to C. Given that CA is the radius of circle C,

Then,

m<CAD + m<DAE = [tex]90^{O}[/tex]

So that,

AE ⊥ AC

Thus, AE is tangent to C.

Answer:

  49k^3 -23k -4

Step-by-step explanation:

The distributive property is your friend.

  [tex](7k-4)(7k^2+4k-1)=7k(7k^2+4k-1)-4(7k^2+4k-1)\\\\=49k^3+28k^2-7k-28k^2-16k+4\\\\=49k^3+k^2(28-28)+k(-7-16)-4\\\\=\boxed{49k^3-23k-4}[/tex]

Answer:

[tex]\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}[/tex]

Please refer to graph attached.

Step-by-step explanation:

Given that mass of each candy in the box is 5 gm.

Mass of empty box is 20 gm.

Total grams, [tex]T = 5n + 20[/tex]

To find: A table of values and graph of the relation.

Solution:

The given equation is nothing but a Linear equation in two variables.

Let us try to create a table of values by putting some values of 'n' and then finding the values for Total grams 'T'.

Let us put [tex]n = 0 \Rightarrow T =5\times 0 +20 = 20[/tex]

Let us put [tex]n = 1 \Rightarrow T =5\times 1 +20 = 25[/tex]

Let us put [tex]n = 2 \Rightarrow T =5\times 2 +20 = 30[/tex]

Let us put [tex]n = 3 \Rightarrow T =5\times 3 +20 = 35[/tex]

Let us put [tex]n = 4 \Rightarrow T =5\times 4 +20 = 40[/tex]

So, the table of values becomes:

[tex]\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}[/tex]

We can see that the value of T is increasing with increasing values of 'n'.

Please refer to the attached image for the graph of given equation.

As it is a linear equation in two variables, it will be a straight line. It will be an increasing positive slope graph.

Answer: a. 12.4 years

Step-by-step explanation:

Function to represent exponential growth continuously:

[tex]A=A_0e^{rt}[/tex]  ...(i)

, where [tex]A_0[/tex] = initial amount, r= rate of interest ( in decimal) , A = Amount after t years.

As per given , we have

[tex]A_0=\$1300\\\\r=8\%=0.08\\\\ A=\$3500[/tex]

To find : t

Put all values in (i) ,

[tex]3500=(1300)e^{0.08t}\\\\\Rightarrow\ 2.6923077=e^{0.08t}[/tex]

Taking natural log on both sides

[tex]\ln(2.6923076)= 0.08t\\\\\Rightarrow\ 0.99039867=0.08t\\\\\Rightarrow\ t=\dfrac{0.99039866}{0.08}=12.37998325\approx12.4[/tex]

Hence, it would take 12.4 years.

so, the correct option is a. 12.4 years .