Find the slope of the line passing through the points ( 9, -5) and (1, -1)

Graphs can be created by inputting data in MS Excel and choosing a chart type that represents the type of data to display

Please find attached the required graph of the function of the Incidence of mumps (cases per 100,000 people)

The known data for the incidence of mumps is presented in the following table;

[tex]\begin{array}{|c|cc|}Year&&Incidence \ of \ Mumps \ per \ 100,000 \ People\\1984&&1\\1985&&1\\1987&&5.5\\1988&&2\\1989&&2.5\\1999&&0.1\\2004&&0.1\end{array}[/tex]

The data from the above table can be entered in MS Excel and a graph can be plotted as follows;

Please find attached the required graph created with MS Excel

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Answer:

600

Step-by-step explanation:

if SP>CP,  

It is profit [SP - CP = Profit]

if CP>SP,  

It is loss  [CP - SP = Loss]

Here in the question CP>SP so,  

loss = CP - SP  

      =2500 - 1900  

      = 600

Answer:

24

Step-by-step explanation:

C.P=2500

S.P=1900

Here,

Cp>Sp

So,

Loss= cp-sp

---------- ×100%

cp

=2500-1900

----------------- ×100%

2500

= 600

------- ×100 %

2500

= 24.

Answer:

19500

Step-by-step explanation:

30/100 X 15000 = 4500

15000 + 4500 = 19500

Answer:

A = $19,965.00

A = P + I where

P (principal) = $15,000.00

I (interest) = $4,965.00

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 15,000.00(1 + 0.1/1)(1)(3)

A = 15,000.00(1 + 0.1)(3)

A = $19,965.00

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 10% per year compounded 1 times per year over 3 years is $19,965.00.

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

Answer:

30 tsp of sugar

Step-by-step explanation:

If 20 is 2 parts of the 5 parts  then 1 part is 10

 10x3 =30

   30 to 20    =  3 to2

The number that is in "proper" scientific notation is A. 2.31 * 10^-4

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.  When a number is too big or too small to be conveniently stated in decimal form, or if doing so would involve writing out an exceptionally long string of digits, it can be expressed using scientific notation. It is also known as standard form in the scientific form, standard index form, and standard form.

The number on the left in scientific notation always consists of a single digit, a decimal point, and the appropriate (see important figures) number of digits after the decimal.

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Answer:

28

Step-by-step explanation:

6+8+6+8

6+8=14x2=28

Answer:

28

Step-by-step explanation:

P = 2(l+ w)

2(6+ 8) =

2(14)=

28

Hope this helps.

Answer:

[tex]14\frac{2}{11}[/tex] ft

Step-by-step explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

[tex]\frac{x}{26} =\frac{6}{11}[/tex]

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =  [tex]14\frac{2}{11}[/tex]

Answer:

[tex]3x - \frac{29}{5} = - 4 \\ 3x = - 4 + \frac{29}{5} \\ 3x = \frac{ - 20 + 29}{5} \\ \\ 3x = \frac{9}{5} \\ x = \frac{9}{5} \div 3 \\ x = \frac{9}{5} \times \frac{1}{3} \\ x = \frac{3}{5} [/tex]

I hope I helped you^_^

Answer:

Jasper have left 1/2 feet

Step-by-step explanation:

3 5/6 - (1 2/3 x 2)

= 23/6 - 10/3

= 23/6 - 20/6

= 1/2

Answer:

Jasper has [tex]3/6[/tex] feet of rope left.

Step-by-step explanation:

[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]

Here <5=<8 then

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

Answer:

1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35

Hence she should price the first card with a 19.99% APR

[tex] \large \mathfrak{Solution : }[/tex]

Answer:

15

Step-by-step explanation:

You have to calculate the boys name using ratio expression.

3/5 × 25

= 15

Answer:

second graph shows x=4 because you can see from origin point and counting will makex=4

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  295 mg

Step-by-step explanation:

The proportion can be written ...

  dose/(96 lb) = (200 mg)/(65 lb)

  dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units

The doctor might recommend 295 mg for a 96-pound patient.

Answer:

Jane is 12 and Harvey is 36

Step-by-step explanation:

3x+x=48

4x=48

x=12

3(12)=36

1(12)=12

Answer:

C

Step-by-step explanation:

The volume of a box (rectangular prism) is given by:

[tex]\displaystyle V = \ell wh[/tex]

We are given that the desired volume is 540 cubic inches. The width is three inches longer than the length and the height is four inches longer than the length. Substitute:

[tex]\displaystyle (540) = \ell(\ell + 3)(\ell + 4)[/tex]

Solve for the length. Expand:

[tex]\displaystyle \begin{aligned} 540 &= \ell (\ell^2 + 7\ell +12) \\ 540&= \ell ^3 + 7\ell^2 +12\ell \\ \ell^3 + 7\ell ^2 +12\ell -540 &= 0\end{aligned}[/tex]

We cannot solve by grouping, so we can consider using the Rational Root Theorem. Our possible roots are:

±1, ±2, ±3, ±4, ±5, ±6, ±9, ±10, ±12, ±15, ±18, ±20, ±27, ±30, ±36, ±45, ±54, ±60, ±90, ±108, ±135, ±180, ±270, and/or ±540.

(If you are allowed a graphing calculator, this is not necessary.)

Testing values, we see that:

[tex]\displaystyle (6)^3 +7(6)^2 + 12(6) -540 \stackrel{\checkmark}{=} 0[/tex]

Hence, one factor is (x - 6).

By synthetic division (shown below), we can see that:

[tex]\displaystyle \ell^3 + 7\ell^2 +12\ell -540 =(\ell -6)(\ell ^2 + 13\ell +90)[/tex]

The second factor has no real solutions. Hence, our only solution is that l = 6.

In conclusion, our answer is C.

Answer:

6 inches

Step-by-step explanation:

I just took the test

As x increases, y increases

The rate of change for y as a function of x is 1.4

therefore the function is growth function

For all values of x, the function value y increases

The y-intercept of the graph is the function value y 1

When x = 6, the function value y = 7.5

For an exponential function, the rate of change is b, in the equation

= f(x) = abˣ

From the graph, points (0, 1), and (2, 2) will be used for the calculation

Exponential function is represented by f(x) = abˣ

for x = 0, f(x) = 1

1 = a * b^0

a = 1

for x = 2, f(x) = 2

2 = 1 * b^2

2 = b^2

b = √2 = 1.414

for increasing rate, b = 1 + r

1.41 = 1 + r, r = 41%

When x = 6

= 1 * 1.4^6

= 7.5

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Answer:

x = 3^2

Step-by-step explanation:

2x^2 = 18

x^2 = 18 / 2

x^2 = 9

x = √9

= 3

Answer:

It is D

9 * (12 + 7) = 9 * 19 = 171

now we test to see if 9 * 12 + 9 * 7 is the same

9 * 12 = 108

9 + 7 = 63

108 + 63 = 171

Step-by-step explanation:

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

Answer:

initial population : 89

after 9 years : 676

Step-by-step explanation:

no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.

the initial population is P(0). or t = 0.

simply when there were 0 years since the fish were added.

that is simple.

we get (as -0.42×0 = 0)

800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89

now, after 9 years we have to calculate P(9). or t=9.

let's pre-calculate : -0.42×9 = -3.78

e to the power of -3.78 = 0.022822691...

8 times this is 0.182581531...

and plus 1 is 1.182581531...

800 / 1.182581531... = 676.486127 ≈ 676

9514 1404 393

Answer:

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

  a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

[tex] \frac{58}{165}[/tex]

[tex] \frac{79}{225} [/tex]

[tex] \frac{13}{37} [/tex]

[tex] \frac{8}{45} [/tex]

[tex] \frac{17}{99} [/tex]

The answer is in the picture shown here

Answer:

D

Step-by-step explanation:

f(1)=(3+2)/(0)=5/0 which means f(1) doesn't exist

Step-by-step explanation:

[tex] \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0[/tex]

[tex](x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0[/tex]

Since the second factor is non-zero, the only possible condition for the equation to hold is,

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]