graph the line with slope -1/2 passing through the point (5,-3)

Answer:

The sea lion dives 24 feet.

Step-by-step explanation:

A seal (S) dives 15 feet.

A sea lion (SL) dives 6 feet less than 2 times the seal's dive.  That can be expressed as:

SL = 2S -6

Since we know S = 15, we can say:

SL = 2*(15) - 6

SL = 24 feet

The sea lion dives 24 feet.

The Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

Therefore, the Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

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When we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

The given function is [tex]y=2-\sqrt{x}[/tex].

We need to find which is the graph of the given function from the options.

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Take, x=0, 1, 4, 9, 16, 25, 36,....

Now, when x=0, y=2.

When x=1, y=1.

When x=4, y=0.

When x=9, y=-1

So, when we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

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Answer:

u = 10 ft

Step-by-step explanation:

cuboid volume = w × h × l

width * hight * length

560 = 7 × 8 × u

u = 10 ft

Answer:

u = 10 ft

Step-by-step explanation:

Volume of a rectangular prism = lwh

where:

Given:

Substitute the given values into the formula and solve for h:

⇒ 560 = 8 × 7 × u

⇒ 560 = 56u

⇒ 56u ÷ 56 = 560 ÷ 56

⇒ u = 10 ft

Therefore, the height of the prism is 10 ft.

The answer to the question is 5 units up.

Answer:

1 7

_

8

Step-by-step explanation:

5 x 3 = 15

5 + 3 = 8

=1 7

_

8

The type of function that best models the data in the table is the quadratic function

The table of values is represented as:

x: 4 6 8 10 12

y : 118 142 150 142 118

From the above table, we can see that:

This is only possible in a quadratic function

Hence, the type of function that best models the data in the table is the quadratic function

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Answer:

x = 95°

y = 40°

z = 95°

Step-by-step explanation:

the equations that will have only one solution are:

An equation of the form:

a*x + b = c*x + d

Has one solution only if a ≠ c.

With that in mind, we can see that the equations that will have only one solution are:

19x - 18 = -19x + 18  (option c)

19x + 18 = -19x + 18  (option d)

In the other two cases, the slopes of the linear equations are equal, so these equations have no solutions or infinite solutions.

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A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,

A.) x = -1

[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]

B.) x = 0

[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]

C.) x = 1

[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]

D.) x = 2

[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]

Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.

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Answer:

-21

Step-by-step explanation:

The number of pieces that Marco places is given as follows:

30 pieces.

The number of pieces that Marco places is obtained applying the proportions in the context of the problem.

The fractions of each person are given as follows:

Hence the fraction composed by these three people is given as follows:

1/2 + 1/5 = (5 + 2)/10 = 7/10 = 0.7.

Hence Michele's fraction is given as follows:

1 - 0.7 = 0.3.

As Michele arranges 90 pieces, the total number of pieces is given as follows:

0.3x = 90

x = 90/0.3

x = 300.

Marco arranged one tenth, hence the number is:

0.1 x 300 = 30.

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The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.

A function is a law that relates two variables , independent and dependent variable.

It is given that

On y axis , amount of feed used each day in thousands of pounds,

On x axis,  number of years since the farm began operating

The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.

Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.

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Answer:

This is impossible.

Step-by-step explanation:

The interior angle of a regular polygon is equal to

[tex] \frac{180(n - 2)}{n} [/tex]

where n is the number of sides.

Setting this equal to 180°,

[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]

which is false.

Answer:

x=3

Step-by-step explanation:

6x-3x=16-7

3x=16-7

3x=9

x=3

Answer:

0.5774

Step-by-step explanation:

1) Input tan(30) into a calculator to get 0.5773502692...

2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

What is the tangent of 30, rounded to 4 decimal places?

.

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

First, let's focus on this phrase - "tan 30"

.

What in the world could that possibly mean?

"tan" is the tangent, which is one of the six trig ratios.

.

The simplest way to find the tangent of 30 degrees is ... with a calculator!

[tex]\bf tan\quad 30 \approx 0.5774[/tex]

The answer has been rounded to 4 decimal places, like you asked.

Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.

[tex]\rule{300}{1.7}[/tex]

[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]

~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~

An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation, K = 4a + 9ab can be solved for a as shown below,

K = 4a + 9ab

K = a(4+9b)

a = K/(4+9b)

Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

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Answer:

(2,-3) (3,-3)

Step-by-step explanation:

f(x) is y

x² - 5x + 3 = -3

x² - 5x + 6 = 0

ask yourself

which 2 numbers when multiplied give you

+6 and when added give you -5

they are -3 and -2

(x-3)(x-2)

x=3 x=2

when you put x=3 and x=2

in x² - 5x + 3 it's gives -3 which is y

(3,-3) (2,-3)

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The number of rounds of bingo when the two costs would be the same is 3.

The equation that represents the total cost for adults is : 13 +2r

The equation that represents the total cost for children: 10 + 3r

where r is the number of rounds

When the two costs are the same, the two above equations would be equal: 13 + 2r = 10 + 3r

13 - 10 = 3r - 2r

r = 3

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Answer:

4x10 8x5

Step-by-step explanation:

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.

The expected value of the winnings from the game is $4

The payout probability distribution is given as:

Payout ($) 2 4 6 8 10

Probability 0.5 0.2 0.15 0.1 0.05

The expected value is then calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05

Evaluate the expression

E(x) = 4

Hence, the expected value of the winnings from the game is $4

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Answer:

The next 3 numbers will be 1 3/4, 2, and 2 1/4

Step-by-step explanation:

The numbers in the sequence are increase by 1/4. So to find the next number in the sequence and 1/4 to the previous number. Don't foget to simplify your answers. Ex.) Rather than saying 2 2/4 you would say 2 1/2.

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To solve the problem substitute the value of n as 5 in each expression and then simplify to check if it equals to 16 or not.

A.) (25/n) + 7

      = (25/5) + 7

      = 12

This is not the required expression.

B.) 30 - 3n

      = 30 - 3(5)

      = 15

This is not the required expression.

C.) 7+ (45/n)

       = 7 + (45/5)

       = 7 + 9

       = 16

This is the required expression.

D.) n² - 114

       = (5)³ - 114

       = 125 - 114

       = 11

This is not the required expression.

Hence, the correct option is C.

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Using proportion, the equivalent units of the following units rounded to the nearest hundredth are as follows:

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

cross multiply

weight(kg) = 40.82328 = 40.82 kg

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Answer:

yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd

Answer:

[tex]\huge\boxed{\sf 20z\³ + 24z\² - 5z - 6}[/tex]

Step-by-step explanation:

= (5z + 6)(2z + 1)(2x - 1)

= (5z + 6)[(2z)² - (1)²]

= (5z + 6)(4z² - 1)

Distributing

= 5z (4z² - 1) + 6(4z² - 1)

= 20z³ - 5z + 24z² - 6

Arrange

= 20z³ + 24z² - 5z - 6

[tex]\rule[225]{225}{2}[/tex]