Select all the correct coordinate pairs and the correct graph. Select the correct zeros and the correct graph of the function below.

Answer:

AC2  =  AB2 + BC2     --->     AC2  =  122 + 52     --->   AC  =  13

AD / AB  =  AB / AC     --->     AD / 12  =  12 / 13     --->     AD  =  144/13

DC  =  AC - AD     --->   DC  =  13 - 144/13     --->     DC  =  25/13

AD / DB  =  DB / DC     --->   DB2  =  AD · DC     --->     DB2  =  (144/13) · (25/13)  --->     DB  =  60/13

DB is the geometric mean of AD and DC.

Step-by-step explanation:

Answer:

f(x)= 8(0.5)^x

Step-by-step explanation:

As you can see on the graph there are two specific points labeled:

(0,8) and (1,4)

The 8 would be the initial value and starting point of the "design"

A is always the initial value so replace that.

Then proceed to divide 4 by 8 to figure out the percentage change its 0.5

leave x as it is

Answer:

False

Step-by-step explanation:

A tessellation refest to a shape that is repeated over and over again covering a plane without any gaps or overlaps. The statement is false given that regular tessellations use only one polygon. Semi-regular tessellations are created with more than one type of regular polygon.

Answer:

2.09 seconds.

Step-by-step explanation:

We are given...

y = 70 feet

v0 = 0 feet/second

a = 32 feet/second^2

We need to find t using the following equation...

y = v0 * t + (1/2) * a * t^2

70 = 0 * t + (1/2) * 32 * t^2

70 = (1/2) * 32 * t^2

70 = 16t^2

16t^2 = 70

t^2 = 4.375

t = sqrt(4.375)

t = 2.091650066

So, it will take the toy about 2.09 seconds to hit the ground.

Hope this helps!

Answer: 60.9 u^2

Step-by-step explanation:

The area of a trapezoid can be calculated as seen in the attachment.

Thus:

[tex]A = \frac{3.7+14.2}{2} * 6.8\\A = \frac{17.9}{2} *6.8\\A = 8.95*6.8\\A = 60.86\\Round\\\left[\begin{array}{c}A=60.9\end{array}\right][/tex]

Hope it helps <3

Answer:

60.9 units^2

Step-by-step explanation:

Well the formula for the area of a trapezoid is,

[tex]\frac{b1+b2}{2} h[/tex]

So b1 and b2 are 142 and 3.7,

14.2 + 3.7 = 17.9

17.9 ÷ 2 = 8.95

8.95 × 6.8 = 60.86

60.9 units^2 rounded to the nearest tenth.

Thus,

the area of the trapezoid is 60.9 units^2.

Hope this helps :)

Answer:

[tex]\boxed{3}[/tex]

Step-by-step explanation:

We can use ratios to solve since the sides are proportional.

[tex]\frac{18}{x} =\frac{48}{8}[/tex]

Cross multiply.

[tex]48x=18 \times 8[/tex]

Divide both sides by 48.

[tex]\frac{48x}{48} = \frac{18 \times 8}{48}[/tex]

[tex]x=3[/tex]

The value of x in the given triangle is 3.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given are two similar triangles,

Therefore, they have the same ratio of corresponding sides

18/48 = x/8

x = 3

Hence, The value of x in the given triangle is 3.

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Circumference of the cylinder :

C = 2 x pi x r

C = 2 x 3.14 x 25 = 157 cm

Multiply the circumference by number of wraps:

157 x 50 = 7,850 cm long ( 78.5 meters)

Answer:

[tex]\boxed{x^3+6x^2+9x}[/tex]

Step-by-step explanation:

[tex]x(x+3)(x+3)[/tex]

Resolving the first parenthesis

[tex](x^2+3x) (x+3)[/tex]

Using FOIL

[tex]x^3+3x^2+3x^2+9x[/tex]

Adding like terms

[tex]x^3+6x^2+9x[/tex]

[tex]\text{If } \: a\cdot b \cdot c = 0 \text{ then } a=0 \text{ or } b =0 \text{ or } c=0 \text{ or all of them are equal to zero.}[/tex]

[tex]x(x+3)(x+3) =0[/tex]

[tex]\boxed{x_1 =0}[/tex]

[tex]x_2+3 =0[/tex]

[tex]\boxed{x_2 = -3}[/tex]

[tex]x_3+3 =0[/tex]

[tex]\boxed{x_3 = -3}[/tex]

Answer:  [tex]\bigg(-3,\dfrac{1}{2}\bigg)[/tex]

Step-by-step explanation:

G = (-7, 3)    H = (1, -2)

[tex]M_{GH}=\bigg(\dfrac{X_G+X_H}{2},\dfrac{Y_G+Y_H}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-7+1}{2},\dfrac{3+(-2)}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-6}{2},\dfrac{1}{2}\bigg)\\\\\\.\qquad = \large\boxed{\bigg(-3,\dfrac{1}{2}\bigg)}[/tex]

The mid point of the line GH whose end points are (-7,3) and (1,-2) is (-3,1/2).

The mid point is a line which divides the line into two equal parts. The formula to calculate the mid point of line whose end points are (x1,y1) and (x2,y2) is {(x1+x2)/2,(y1+y2)/2}.

To calculate the mid point of the line GH we have to put x1=-7, x2=1,y1=3 and y2=-2 so,

the mid point is {(-7+1)/2,(3-2)/2}

=(-3,1/2)

Hence the mid points of a line GH whose end points are g(-7,3) and h(1,-2) is (-3/1/2).

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Answer:

[tex]\boxed{x\geq -99}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} \geq -33[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 3.[/tex]

[tex]\frac{x}{3} (3) \geq -33(3)[/tex]

[tex]x\geq -99[/tex]

Answer:

[tex]\boxed{\red{x \geqslant - 99}}[/tex]

Step-by-step explanation:

[tex] \frac{x}{3} \geqslant - 33 \\ x \geqslant - 33 \times 3 \\ x \geqslant - 99[/tex]

hope this helps you!

Answer:

7 and 3 respectively

Step-by-step explanation:

Peanuts (p/lb) = $1.80

Cashews (p/lb) = $4.50

Total pound = 10 pounds

Aggregate amount (at $2.61 per lb) = $26.1

Pound of peanut to buy = x

Pound of cashew to buy = y

x + y = 10..........(i)

1.8x + 4.5y = 26.1.....(ii)

Multiply equ (i) by 1.8 and equ (ii) by 1

1.8x + 1.8y = 18

1.8x + 4.5y = 26.1

Subtract (i) from (ii)

4.5y - 1.8y = 26.1 - 18

2.7y = 8.1

y = 3

Sub y = 3 into (i)

x + y = 10

x + 3 = 10

x = 10 - 3

= 7

Pounds of peanut to buy = 7 pounds

Pounds of cashew to buy = 3 pounds

Answer:

Income after 20 years = 162550.01

Step-by-step explanation:

In cell B2, enter 90000

In cell B3, enter +B2*1.03

Copy cell B3 to cells B4:B22

Set number format for column B to 2 decimal places.

Read cell B22 = 162550.01

Income after 20 years = 162550.01

Their income after 20 years would be; 72,550 dollars.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The income after 20 years can easily be determine by using compounding

Thus the formula;

Future Value = Present Value (1 + I)^ 20

                     = 90,000 (1 + 0.03)^ 20

                     = 162,550 dollars

Income can be determing by subtracting Pv from Fv i.e

Income = 162,550 - 90,000 = 72,550

Calculation on excel sheet;

      A                        B                  C                         D                

1     90,000             1.03            = A1 x1.03        = C1-A1        

2      = D1                  1.03           = A2 x 1.03       = C2-A2

20    = D19               1.03           = A20 x 1.03      = A20 - C20

Thus, In work sheet colunm D will show the income on investment.

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Answer:

2.5m

Step-by-step explanation:

Using the adjusted accounting profits method.

Operating cash flow = After - tax profit + Depreciation. .......... ( 1 )

Given that :

* depreciation expense = $1 million

* Sales generated $7 million

* Tax rate = 25%

Tax rate = 25/100

= 0.25

From equation 1

= ( 7m - 4m - 1m ) ×( 1 - 0.25 ). + 1m

= ( 7m - 5m ) × ( 0.75 ) + 1m

= 2m × 0.75 + 1m

= 1.5m + 1m

= 2.5m

The firm operating cash flow = 2.5m

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.[tex]e^{-\lambda.x}[/tex]

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - [tex]e^{-\lambda.x}[/tex]

(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - [tex]e^{-0.0143.100}[/tex]

F(100) = 0.76

Probability of distance at most 200:

F(200) = 1 - [tex]e^{-0.0143.200}[/tex]

F(200) = 0.94

Probability of distance between 100 and 200:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = [tex]\frac{1}{\lambda}[/tex]

E(X) = [tex]\frac{1}{0.0143}[/tex]

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = [tex]\sqrt{\frac{1}{\lambda^{2}} }[/tex]

σ = [tex]\sqrt{\frac{1}{0.0143^{2}} }[/tex]

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - [tex]e^{-0.0143*209.79}[/tex])

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

[tex]\int\limits^m_0 f({x}) \, dx[/tex] = 0.5

[tex]\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx[/tex] = 0.5

[tex]\lambda.\frac{e^{-\lambda.x}}{-\lambda}[/tex] = [tex]-e^{-\lambda.x} + e^{0}[/tex]

[tex]1 - e^{-\lambda.m}[/tex] = 0.5

[tex]-e^{-\lambda.m}[/tex] = - 0.5

ln([tex]e^{-0.0143.m}[/tex]) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

Answer: B

Step-by-step explanation:

Because of Supplementary Angles, we know that the two angles in the right side of the equation add up to 90.

Hope it helps <3

Answer:

1) rectangle

2) rectangle

Step-by-step explanation:

Any cross section of a rectangular prism is a rectangle.

Hope it helps <3

37.62202 sq units

First, calculate the areas of the separate triangles:

ABD = 20.19968 sq units

ACD = 17.46234 sq units

then add them to get 37.62202 sq units

Answer:

30.51 units^2

Step-by-step explanation:

Well to find the area of a triangle without height we use the following formula,

[tex]A = \sqrt{S(S-a)(S-b)(S-c)}[/tex]

To find S we use the following formula,

[tex]S = \frac{1}{2} (a+b+c)[/tex]

So a b and c are the sides of a triangle, we'll start with the left triangle.

S = 1/2(7 + 5.22 + 7.4)

S = 1/2(19.62)

S = 9.81

Now we can plug in 9.81 for S,

[tex]A = \sqrt{9.81(9.81-a)(9.81-b)(9.81-c)}[/tex]

[tex]A = \sqrt{9.81(9.81-7)(9.81-5.22)(9.81-7.4)}[/tex]

[tex]A = \sqrt{9.81(2.81)(4.59)(2.41)}[/tex]

[tex]A = \sqrt{9.81(31.083939)}[/tex]

[tex]A = \sqrt{304.93344159}[/tex]

[tex]A = 17.46234353086664[/tex]

But we can just simplify that to the nearest hundredth place which is,

17.46.

Now for the next triangle,

[tex]S = \frac{1}{2} (6.36 + 6.85 + 7.4)[/tex]

[tex]S = \frac{1}{2} (20.61)[/tex]

[tex]S = 10.305[/tex]

Plug in 10.305 for S,

[tex]A = \sqrt{10.305(10.305-6.36)(10.305-6.85)(10.305-7.4)}[/tex]

[tex]A = \sqrt{10.305(3.945)(3.455)(2.905)}[/tex]

[tex]A = \sqrt{10.305(16.534975)}[/tex]

[tex]A = \sqrt{170.392917375}[/tex]

A = 13.053463807549

We can round it to the nearest hundredth,

A = 13.05

So we just add 17.46 + 13.05

= 30.51 units^2

Thus,

the area of the figure is 30.51 units^2.

Hope this helps :)

Answer:

[tex]\frac{-89}{40}[/tex]

As a Proper Fraction: -2[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

So i assume the fraction sits like this:

[tex]\frac{-5}{8}[/tex] + [tex]\frac{-8}{5}[/tex]

This essentially becomes:

[tex]\frac{-5}{8}[/tex]  -  [tex]\frac{8}{5}[/tex]

Now multiply the denominators for a LCM (Lowest common denominator)

8*5 = 40

And now multiply the top parts with the respective denominator (-5 * 5) and (8 * 8)

So Now you get

[tex]\frac{-25}{40}[/tex] -  [tex]\frac{64}{40}[/tex]

and now that u have same denominators, just subtract -25 - 64  and get -89

Final Simplified answer: [tex]\frac{-89}{40}[/tex]

As a Proper Fraction: -2[tex]\frac{9}{40}[/tex]

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!

Answer:

56

Step-by-step explanation:

Answer:

2250

Step-by-step explanation:

Balance : 2100

2 Years

2100 ÷ 100 x 103.5 ÷ 100 x 103.5 = 2249.5725

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

Answer:

[tex]Length = 25cm[/tex]

Step-by-step explanation:

Given

Brass Shape: Square

[tex]Density = 4.2g/cm^3[/tex]

[tex]Mass = 1.05kg[/tex]

[tex]Height = 4mm[/tex]

Required

Determine the length of the plate

First, we need to calculate the Volume of the Brass using

[tex]Density = \frac{Mass}{Volume}[/tex]

Make Volume the subject of formula

[tex]Volume = \frac{Mass}{Density}[/tex]

Substitute 1.05kg for Mass and 4.2g/cm³ for Density

[tex]Volume = \frac{1,05\ kg}{4.2\ g/cm^3}[/tex]

Convert 1.05 kg to grams

[tex]Volume = \frac{1.05 * 1000\ kg}{4.2\ g/cm^3}[/tex]

[tex]Volume = \frac{1050 \ kg}{4.2\ g/cm^3}[/tex]

[tex]Volume = \frac{1050 \ kg}{4.2\ g/cm^3}[/tex]

[tex]Volume = 250cm^3[/tex]

Next is to determine the Area of the brass;

[tex]Volume = Height * Area[/tex]

Substitute 250cm³ for Volume and 4mm for Height

[tex]250cm^3 = 4mm * Area[/tex]

Convert mm to cm

[tex]250cm^3 = 4 * 0.1cm * Area[/tex]

[tex]250cm^3 = 0.4cm * Area[/tex]

Divide both sides by 0.4cm

[tex]\frac{250cm^3}{0.4cm} = \frac{0.4cm * Area}{0.4cm}[/tex]

[tex]\frac{250cm^3}{0.4cm} =Area[/tex]

[tex]625cm^2 = Area[/tex]

[tex]Area = 625cm^2[/tex]

Lastly, we'll calculate the length of the brass

Since the brass is square based;

[tex]Area = Length^2[/tex]

Substitute 625cm² for Area

[tex]625cm^2 = Length^2[/tex]

Take square root of both sides

[tex]\sqrt{625cm^2} = Length[/tex]

[tex]25cm = Length[/tex]

[tex]Length = 25cm[/tex]

Hence, the length of the square brass is 25cm

Answer:

d. 38

Step-by-step explanation:

AB = AD - BD = 54 - 36 = 18

AC = AB + BC = 18 + 20 = 38

Answer:

$1387.4

Step-by-step explanation:

Total cost for the computer will be sum of down payments and monthly installments.

____________________________________

Given

down payment = $200

monthly installment value = $98.85

no. of installments = 12

total value of monthly installments = 12*98.95 = $1187.4

Total cost of computer system = $200+  $1187.4 = $1387.4

Answer:

its D

Step-by-step explanation:

The approximate sum is 134.83

The correct option is (D).

What is series?

A series in math is simply the sum of the various numbers or elements of the sequence.

For example, to make a series from the sequence of the first five positive integers 1, 2, 3, 4, 5 we will simply add them up. Therefore 1 + 2 + 3 + 4 + 5 is a series.

A series in math is the sum of the terms in a sequence. The series and the sequence given in this example are almost identical. What differentiates the two is the addition of the + sign. Changing the comma to a plus sign changes the sequence into a series.

Suppose a person wanted to increase their level of fitness. The person decides to walk for 15 minutes the first day and increases the time spent walking by 5 minutes each day for the first week. The sequence that shows this example is

15, 20, 25, 30, 35, 40, 45

series used to find the answer is

15+20+25+30+35+40+45

Given:

[tex]\sum[/tex] (k =1 to 8) 5* (4/3)^(k-1)

So,

Putting values k=1 to 8 one by one then

= 5 + 20/3 + 80/9+0320/27+......+81920/2187

=294875/2187

=134.83

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Answer:

B.3

Step-by-step explanation:

to get the scale factor divide a side from the bigger triangle by the equivalent in the small one

15/5 = 3

Answer:

False

Step-by-step explanation:

It was proved with advanced algebra that a doubled cube could never be constructed with a straightedge and compass

Answer:

n = 17

Step-by-step explanation:

Assuming

- probability of success (making free throw) does not vary

We have

n = 17 (trials)

p = 0.479

x > 9

The answer is "[tex]\bold{p(x>9)=0.2550319}[/tex]"

[tex]\to X:[/tex] Number of creating free throws in a set [tex]\bold{17\ \ x \sim bin(17,0.479)}[/tex]

Know we calculating the P(makes more than 9 of them)

[tex]=\bold{9(X>9)=1-P(Z<=9)}[/tex]

Using the R-code:

[tex]\to \bold{1-p\ binom(9,17,0.479)}\\\\\to \bold{[1]0.2550319}\\\\\bold{\therefore}\\\\ \to \bold{p(x>9)=0.2550319}[/tex]

Learn more:

binomial distribution: brainly.com/question/9065292

Answer:

It is necessary to look for the least common denominator when one is trying to add or subtract rational expressions that do not have the same denominator.

Step-by-step explanation:

for example the denominator of the two addends are not the same. One has (x+2), the other (x-2).