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When z= 9, the value of z2 + 1 is

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Answer:

1/6

Step-by-step explanation:

For Omar to drive, he has to get a six when a die is rolled ;

The probability that Omar will get to drive his car is :

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6)

P(rolling a 6) = required outcome / Total possible outcomes

P(rolling a 6) = 1/6

Probability of Omar driving his car is 1/6

Answer: Purchase Price: $85.  Discount: (85 x 24)/100 = $20.40

Final Price:

85 - 20.40 = $64.60

Answer:

63.60, or 63.6, or 67,  how u round it

Step-by-step explanation:

Smartness

Answer:

See below.

Step-by-step explanation:

Alternate Interior Angles - 1

Alternate Exterior Angles - 2

Corresponding Angles - 4

Same-side Exterior Angles - 5

Same-side Interior Angles - 3

Answer:38292

A

Step-by-step explanation:w

jkwlw44444

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

[tex]A \to Amount[/tex]

[tex]t \to time[/tex]

Given

[tex]A(0) = 200[/tex] --- initial

[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes

Required

[tex]A(10)[/tex] --- amount left after 5 minutes

To do this, we make use of:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(5) = 160[/tex] implies that:

[tex]160 = 200 * e^{k*5}[/tex]

Divide both sides by 200

[tex]0.80 = e^{k*5}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.80) = \ln(e^{k*5})[/tex]

[tex]\ln(0.80) = \ln(e^{5k})[/tex]

[tex]\ln(0.80) = 5k\ln(e)[/tex]

So, we have:

[tex]-0.223 = 5k[/tex]

Divide by 5

[tex]k = -0.045[/tex]

So, the function is:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(t) = 200 * e^{-0.045t}[/tex]

The amount after 10 minutes is:

[tex]A(10) = 200 * e^{-0.045*10}[/tex]

[tex]A(10) = 200 * e^{-0.45}[/tex]

[tex]A(10) = 127.53[/tex]

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

remember its rectangle 1 + rectange 2.Once i did that i have seen the total volume must be greater then answer B

so it must be a

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9

Answer:

The desired data-set is: {12,12,12,12,12,12,12}

Step-by-step explanation:

n = 7

Data set of 7 elements.

x = 12

Mean of 12

S = 0

Standard deviation of 0.

Desired data-set:

Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.

The desired data-set is: {12,12,12,12,12,12,12}

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  115° = (4k +5)° +(6k +10)°

  115 = 10k +15 . . . . . . . . . . . divide by °, simplify

  100 = 10k . . . . . . . . . . . . subtract 15

  10 = k . . . . . . . . . . . . . . divide by 10

Answer:

6:8

Step-by-step explanation:

6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2

Answer:

the answer to this is 10 i think sorry if it is wrong

Step-by-step explanation:

The triangles are similar and the measure of BC = 60/7 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔADE

Now , ΔABC and ΔADE are similar triangles

where corresponding sides of similar triangles are in the same ratio

So , AD / AB = DE / BC

On simplifying , we get

7 / 10 = 6 / BC

Multiply by BC on both sides , we get

BC ( 7/10 ) = 6

Multiply by 10 on both sides , we get

7BC = 60

Divide by 7 on both sides , we get

BC = 60/7

Hence , the measure of BC = 60/7 units

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ3

Answer:

Challenge B is 1.827

Step-by-step explanation:

I need more letters to submit this.

Answer:

True

Step-by-step explanation:

You can see that Angle 5 is slightly greater than 90°, so it is obtuse

Angle 8 is less than 90°, and is acute

Since obtuse angles are larger than acute angles, Angle 5 is greater than Angle 8.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the next three terms, 0.075,0.0375,0.01875 (common ratio 0.5)

the formula is 0.3*0.5^n-1

the formula for finding the nth term of a geometric sequence preset would be

a*r^n-1

a is first term

r is common ratio

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

From the quadratic equation

the axis of symmetry for quadratics of the form

y = ax² + bx + c is

x = -b/2a

x² + 5x + 9

x = -5/2

Answer:

5.9

Answer directly from Khan

Answer:

3 Pounds of Coffee

Step-by-step explanation:

To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.

Much appreciated if this is marked as brainliest :)

Answer:

59.44

Step-by-step explanation:

Nine employees If an electronic company retired last year

The retirement ages are listed below

56, 65, 62, 53, 68, 58, 65, 52, 56

The mean retirement age can be calculated as follows

= 56+65+62+53+68+58+65+52+56/9

= 535/9

= 59.44

Hence the mean retirement age is 59.44

Answer:

1) 40 degrees

2) 140 degrees

3) 110 degrees

4) 70 degrees

5) 70 degrees

Explanation:

Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.

Let me know if my answer is correct for the other users that will see this message. Thank you!

-kiniwih426

Answer:

y = -4x + 25

Step-by-step explanation:

[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]

Equation of line :

 [tex](y - y_1) = m(x - x_1)[/tex]

 [tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]

Answer:

0=4x+y-5

Step-by-step explanation:

slope(m)=-4

y-intercept(c)=5

now, the equation joining the straight line satisfy the equation,

y=mx+c

or, y= -4x+5

or, 4x+y-5=0

or, 0=4x+y-5

it is the required equation.

Answer:

200 m

-15 m

215 m

Step-by-step explanation:

Given :

Top of hill = 200 m above sea level ; height of hill top is positive 200m = 200 m

Bottom of lagoon = 15m *below sea level ; bottom of lagoon = - 15m

We have related the height of the two points with respect to sea level ; points above sea level are represented as positive ; points below are represented as negative.

Difference between the two heights :

Hill top - bottom of lagoon :

200 m - (-15) m

200 m + 15 m

215 m

Difference between the heights is 215 m

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = (2x^2 + 1)

( f(3 + h) - f(3) ) / h

f(3 + h) = 2(3 + h)^2 + 1)

f(3 + h) = 2(9 + 6h + h^2) + 1

f(3 + h) = 18 + 12h + 2h^2 + 1

f(3 + h) = 19 + 12h +2h^2

f(3) = 2*(3^2) + 1

f(3) = 2(9) + 1

f(3) = 19

f(3 + h) - f(3) = 2h + 2h^2  The 19s cancel out

f(3 + h) - f(3) = 2h(1 +  h^2)

(  f(3 + h) + f(3)  ) / h  =  2h ( 1 + h^2) / h = 2 ( 1 + h^2)

Answer:

Step-by-step explanation: