The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.

The techniques used in geometric constructions with paper folding are listed below.

Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

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Answer:

Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper

Answer:

53/66

Explanation:

We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.

Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66

Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66

We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.

The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.

53/66 is the probability that after drawing four coins.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a hat contains six nickels and five pennies

Drawn coins from the hat at random, without replacement.

We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.

We use complementary counting to find the probability of picking the outcomes.

Probability of picking PPPP:

5/11 × 4/10 × 3/9 × 2/8

= 120/7920

= 1/66

Probability of picking PPPN:

5/11 × 4/10 × 3/9 × 6/8

= 360/7290

= 3/66

Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)

3/66×4= 12/66.

The total of these two probabilities is 13/66.

1-13/66

53/66

Hence, 53/66 is the probability that after drawing four coins.

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Answer:

The function was expanded vertically by 5, and then translated vertically upwards 6 units.

Which is the third option in the list of possible answers.

Step-by-step explanation:

Recall that the types of transformations associated with:

A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;

B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.

Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]

consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.

Answer:

28.4 cups

Step-by-step explanation:

If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.

Now, we can set up a proportion:

[tex]\frac{176}{50} =\frac{100}{x}[/tex]

Cross Multiply:

176x = 5000

x = 5000/176 = 28.4 cups

The required number of cups that each person has 5.6 cups per 100 pounds.

There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.

Fraction is defined as the number of composition constitute the whole.

average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)

Number of cups per 100 pounds = 50/880*100

                                                       = 5.6 cups per 100 pound

Thus, the required number of cups that each person has 5.6 cups per 100 pounds.

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Answer:

99.84

Step-by-step explanation:

Take the original price and subtract the discount

125 - .25 * 125

125 -31.25

93.75

Now add in the tax

93.75+.065*93.75

93.75+6.09375

99.84375

Rounding to the nearest cent

99.84

Answer:

0.1

Step-by-step explanation:

There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.

Answer:

0.1 is the right answer

Answer:

-7

Explanation:

7/8 x - 16 x -7 x -1/14 = -7

Answer: -7

7/8 x -16 = -14

-14 x -7 = 98

98 x 1/14 = -7

ANSWER IS -7

Answer:

Answer Choices??

Step-by-step explanation:

Answer:

3*m+1 and 3+2*m

Step-by-step explanation:

$600.99

Step-by-step explanation:

Because the cab company is located in New York. In New York, cab drivers basically rob you.

Answer:

Step-by-step explanation:

Because they are vertically opposite angles.

Vertically opposite angles are always equal.

Please see the attached picture.

There,

<AOC and <BOD are formed by the intersected line segments and they lie to the opposite side of the common vertex. They are called vertically opposite angles. <AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.

Hope this helps ...

Good luck on your assignment...

Answer:

y = 30°

Step-by-step explanation:

X and Y are vertically opposite angles meaning they are equal

Answer:

line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.

answers to pairs of angles:

7. opposite interior angles

8. opposite interior angles

9. adjacent interior angles

10. corresponding angles

11.  opposite interior angles

Hope it helps

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

We know that whole number means the digits before the decimal point, meaning we have to take a look at .65 since that is after the decimal point.

So

We take a look at .6, since that is the number directly after the decimal point.

If the digit is 5 and up we round up, if the digit is 4 and down we round down

."6" is our digit meaning we round up

So we take 65 and round up to 66, making the number a whole number with no decimals after it

Answer:

y=-5x+28 general form

slope point :y-(-7)=-5(x-7)

Step-by-step explanation:

definition :perpendicular slopes are negative reciprocals of each other

x-5y-2=0

y=1/5 x-2/5

slope of the perpendicular line =1/m=-1/(1/5)=-5

slope point :y-(-7)=-5(x-7)

find b :

y=-5x+b

-7=-5(7)+b

b=-7+35=28

y=-5x+28

y=1/5 x-2/5

Answer:

A=-3

B=-1

ans:-1-(-3)=2

Step-11by-step explanation:

Ax+By=3,m1= -A/B

x+3y= -5,m2= -1/3

A/B=1/3(parallel)

3A=B

(-7,2)

-7A+2B=3

-7A+6A=3

A= -3

B=-3/3= -1

-1-(-3)=2

Answer:

[tex]756\pi[/tex]

Solution,

Volume of cone=270 pi cm^3

[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]

Volume of semisphere:

[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]

Total:

[tex]270\pi + 486\pi \\ = 756\pi[/tex]

hope this helps...

Good luck on your assignment..

Answer:

an = an-1 +4  

a1 = 14

Step-by-step explanation:

The recursive formula is

an = an-1 +d  where d is the common difference

a1 = initial term

a1 = 14

d = the difference between the terms

Take the second term and subtract the first term

18-4 = 4

That is the common difference

an = an-1 +4  

a1 = 14

If we will analyze this sequence, we will notice that:

So,

[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]

Therefore, the correct option is letter C.

Answer:

2(8x + 18) and 4(4x + 9)

Step-by-step explanation:

16 and 36 are both evenly divisible by 2 and 4.  Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).

Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given expression

16x + 36

= 4.4x + 4.9

16x + 36 = 4(4x+9)

= 2.2(4x + 9)

16x + 36 = 2(8x + 18)

Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.

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Answer:

Step-by-step explanation:

a)180 degrees

b)parallel

c)90 degrees

d)supplementary and adiacent

e)right

f)supplementary

Answer:

a) 180°

b) parallel

c) 90°

d) adjacent  

e) right  angled

f) supplementary

Answer:

B. 7/4

Step-by-step explanation:

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

Plug in the coordinates:

m = (15 - 8)/(9 - 5)

m = 7/4

Answer:

Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:

x + 35 = 105

x = 70°

Answer:

x = 65

Step-by-step explanation:

interior angles = 180°

45° + (2x - 5)° = 180°

(2x - 5)° = 180° - 45°

(2x - 5)° = 135°

2x° = 135° - 5°

2x° = 130°

x° = 130° ÷ 2

x° = 65°

x = 65

Answer:

It's asking you to write the function in a factored form  for example g(x) or f(x) that's why its asking for you to use the x as the variable.

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

The common difference between each y-value is 18.

80 - 62 = 18

62 - 44 = 18

44 - 26 = 18

The function stays the same for every interval of the x-values

(1, 26)

(2, 44)

(3, 62)

Since the increase in the y-value is the same with equal intervals of x-values, the function represents the linear function. Thus, option D is correct.

Function is the expression that defines the relationship between the independent and dependent variables.

Determine the difference between the consecutive y-values.

44-26=18

62-44=18

80-62=18

98-80=18

It can be observed that the difference in the consecutive y-values is same, which is, 18.

Since the increase in the y-value is same with equal interval of x-values, the function represents the linear function.

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Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

Answer:

A: A horizontal shift of 9 units left

Hope this helps! :D

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

168/14=12*13.72=164.64

._.

Answer:

79

Step-by-step explanation:

If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.

Answer:

79 is correct  

Answer:

81^5/4

Rewrite 81 in index form that is 3⁴

So we get

3⁴ × ^5/4

= 3^5

= 243

Hope this helps

Answer:

243 is correct

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it's a half circle , rectangle and triangle that can exactly be carved out of the figure

Answer:

C

Step-by-step explanation:

half-circle ; rectangle ; triangle

Answer:

9:13.

Step-by-step explanation:

$1.30 = 130 cents

So the ratio is 90:130

= 9:13.

Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the least possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

Hope this helps!