Instructions: Using the image, find the distance betweenthe points given on the graph.estion

The correct answer is Option B.

Divide 1,200 by 5.

Here = 1200tsp / 5c = ?tsp/1c

        = 1200 / 5

       = 240 tsp

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Answer:

\(\bold{\dfrac{11}{16}}\)

Step-by-step explanation:

Given four tiles with numbers:

1, 4, 5 and 8

Tile chosen once and then replaced, after that another tile chosen:

All possibilities are:

{(1, 1) ,(1, 4) ,(1, 5) ,(1, 8)

(4, 1) ,(4, 4) ,(4, 5) ,(4, 8)

(5, 1) ,(5, 4) ,(5, 5) ,(5, 8)

(8, 1) ,(8, 4) ,(8, 5) ,(8, 8) }

Total number of possibilities = 16

When the sum is greater than 7, the possibilities are:

{(1, 8)

(4, 4) ,(4, 5) ,(4, 8)

(5, 4) ,(5, 5) ,(5, 8)

(8, 1) ,(8, 4) ,(8, 5) ,(8, 8) }

Number of favorable cases = 11

Formula for probability of an event E is:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Hence, the required probability is:

\(\Rightarrow \bold{\dfrac{11}{16}}\)

Answer:11/16

Step-by-step explanation:i took the test

Answer:

The probability that atleast one ticket labeled 2-6 is drawn is 0.94

Numbered ticket = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Number of draws = 4

Required picks = {2, 3, 4, 5, 6}

Recall :

Probability = required outcome / Total possible outcomes

Probability of choosing a required ticket :

5/10 = 1/2

Therefore, the probability that none of the required tickets is chosen :

(1/2 × 1/2 × 1/2 × 1/2) = 1/16

The probability that atleasr one ticket labeled 2-6 is drawn is :

1 - P(none is chosen) = 1 - 1/16 = 15/16 = 0.9375

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)

Answer:

The good kind

Step-by-step explanation:

Yes

Answer:

15n+19.95=c

Step-by-step explanation:

15 per yearbook plus 19.95 equals the total cost

The equation is  \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)  Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:

\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)

Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

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Step-by-step explanation:

12800000

or 567777000

$27500000

Answer:1

Step-by-step explanation:

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

0.24510

Step-by-step explanation:

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

In order to find f(x), we need to calculate the inverse of h(x)

y=h(x)

We substitute x with y and y with x

Then we isolate the y

ANSWER

f(x) is

The correct choice is the first one

Answer: 13.3333333333333333333333334

Step-by-step explanation:

8/300 x 500

Answer:

im pretty sure the answer is (-5,-7)?

i think it would be 202.3

22 divided my 2 is 11

Answer:

22 divided by 2 is 11

Step-by-step explanation:

Using proportions, it is found that the two cities are 27.5 miles apart.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From the given scale, we have that each inch of distance represents 10 miles. Hence the distance in miles for a distance of 2 and 3/4 miles = 2.75 miles is given by:

D = 10 x 2.75 = 27.5 miles.

Hence, the two cities are 27.5 miles apart.

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Answer:

57.3

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}\)

\(\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}\)

\(\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}\)

\(\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}\)

\(\mathsf{=\dfrac{32\times43}{3\times 8}}\)

\(\mathsf{= \dfrac{172}{3}}\)

\(\mathsf{= 57\dfrac{1}{3}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

9 years

Step-by-step explanation:
To determine the number of years it will take for the new furnace to pay for itself, we need to compare the cost of running the old furnace for that period with the cost of buying and operating the new furnace during the same time.

Let's calculate the cost of running the old furnace for one year:

Old furnace cost per year = $850

Now, let's calculate the savings in energy costs for the new furnace:

Savings in energy costs per year = 34% of $850

= 0.34 * $850

= $289

The total cost of buying and operating the new furnace for one year is:

New furnace cost per year = Cost of buying the new furnace + Savings in energy costs per year

= $2,500 + $289

= $2,789

To find the number of years it will take for the new furnace to pay for itself, we divide the cost of the new furnace by the annual savings:

Number of years to pay for itself = Cost of buying the new furnace / Annual savings

= $2,500 / $289

≈ 8.65

Since we cannot have a fraction of a year, we can round up to the nearest whole number. Therefore, it will take approximately 9 years for the new furnace to pay for itself.

Step-by-step explanation:

V = 1/3 x π x r² x h

48 = 1/3 x π x r² x 9

48÷3π = r²

√48÷3π =r

so, r= 2.26 (3.s.f)

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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By composite compostion f(x) = 5x-6 and f⁻¹(x) = (x+6)/5 are inverse functions

A function is a relationship between inputs where each input is related to exactly one output.

Given: f(x) = 5x-6 and f⁻¹(x) = (x+6)/5

To show the inverse relationship exists using composite composition, f(f⁻¹(x)) must be equal to f⁻¹(f(x))

Let's check:

f(f⁻¹(x)) = f((x+6)/5)

Substitute x = (x+6)/5  into  f(x) = 5x-6:

f(f⁻¹(x)) = 5((x+6)/5) - 6

f(f⁻¹(x)) = (x+6)- 6

f(f⁻¹(x)) = x

Also,

f⁻¹(f(x)) = f⁻¹(5x-6)

Substitute x = 5x-6 into f⁻¹(x) = (x+6)/5:

f⁻¹(f(x)) =  ((5x-6)+6)/5

f⁻¹(f(x)) =  5x/5

f⁻¹(f(x)) =  x

Since f(f⁻¹(x)) = f⁻¹(f(x)). Therefore, f(x) = 5x-6 and f⁻¹(x) = (x+6)/5 are inverse functions

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Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

Answer:

$1.5

Step-by-step explanation:

Initial price = $2.00

25% of $2 = $0.5

So

$2.00 - $0.5

= $1.5

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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\(( \frac{ - 72}{2} )^{2} \\ = \frac{ - 72 \times - 72}{2 \times 2} \\ = \frac{5184}{4} = 1296\)

the answer of the equation is 1296

9514 1404 393

Answer:

  a) 2.038 seconds

  b) 5.918 meters

  c) 1.076 seconds

Step-by-step explanation:

For the purpose of answering these questions, it is convenient to put the given equation into vertex form.

  h = -4.9t² +9.2t +1.6

  = -4.9(t² -(9.2/4.9)t) +1.6

  = -4.9(t² -(9.2/4.9)t +(4.6/4.9)²) +1.6 +4.9(4.6/4.9)²

  = -4.9(t -46/49)² +290/49

__

a) To find h = 0, we solve ...

  0 = -4.9(t -46/49)² +290/49

  290/240.1 = (t -46/49)² . . . . subtract 290/49 and divide by -4.9

  √(2900/2401) +46/49 = t ≈ 2.0378 . . . . seconds

The ball takes about 2.038 seconds to fall to the ground.

__

b) The maximum height is the h value at the vertex of the function. It is the value of h when the squared term is zero:

  290/49 m ≈ 5.918 m

The maximum height of the ball is about 5.918 m.

__

c) We want to find t for h ≥ 4.5.

  h ≥ 4.5

  -4.9(t -46/49)² +290/49 ≥ 4.5

Subtracting 290/49 and dividing by -4.9, we have ...

  (t -46/49)² ≥ 695/2401

Taking the square root, and adding 46/49, we find the time interval to be ...

  -√(695/2401) +46/49 ≤ t ≤ √(695/2401) +46/49

The difference between the interval end points is the time above 4.5 meters. That difference is ...

  2√(695/2401) ≈ 1.076 . . . . seconds

The ball is at or above 4.5 meters for about 1.076 seconds.

__

I like a graphing calculator for its ability to answer these questions quickly and easily. The essentials for answering this question involve typing a couple of equations and highlighting a few points on the graph.

_____

Additional comment

I have a preference for "exact" answers where possible, so have used fractions, rather than their rounded decimal equivalents. The calculator I use deals with these fairly nicely. Unfortunately, the mess of numbers can tend to obscure the working.

"Vertex form" for a quadratic is ...

  y = a(x -h)² +k . . . .  where the vertex is (h, k) and 'a' is a vertical scale factor.

In the above, we have 'a' = -4.9, and (h, k) = (46/49, 290/49) ≈ (0.939, 5.918)

Answer:

The limit of a sum is equal to the sum of the limits.

Step-by-step explanation:

The limits of a constant times a function is equal to the constant times the limit of the function.