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Answer:

Unitary cost= $1.75

Step-by-step explanation:

Giving the following information:

He spent $21 on 12 single-scoop ice cream cones.

To calculate the unitary cost, we need to use the following formula:

Total cost= number of units*unitary cost

Unitary cost= total cost / number of units

Unitary cost= 21 / 12

Unitary cost= $1.75

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

Answer:

C. y = -3x +6

Step-by-step explanation:

y = mx + b

m= slope = -3

b = y-intercept = 6

y = -3x + 6

Answer:

1,-1

Step-by-step explanation:

because section be is for +,-

Answer:

1,-1

Step-by-step explanation:

Answer:

b=12.6

m<A=25.4

m<B=64.6

Step-by-step explanation:

% Increase = ((New value - Old Value) / Old Value) * 100

Given New value = $85

and Old Value = $35

% Increase =

[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]

Step-by-step explanation:

To find the composite function, it says

[tex](f \: o \: g)(x)[/tex]

means we put the function g(x) into f(x) so that means it looks like

[tex]( \sqrt{x}) {}^{2} - 4[/tex]

Which equal

[tex]x - 4[/tex]

So that expression above is the answer.

To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).

The range of a g(x) which is a radical function is all real numbers.

The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.

This means for our function to work we can use any numbers as long as it greater than -4.

So we would represent that as x is all real numbers as long as x is greater than or equal to -4

In interval notation this would be

[-4,+ infintiy)

Answer:

155

Step-by-step explanation:

Answer:

[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

• Differentiate cosine

• Then multiply it with the derivative of the term inside the bracket

Inverse operations to the rescue!

So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Answer:

The common difference is 4 or C on your test

Step-by-step explanation:

-17+4= -13

-13+4= -9

And so on...

Answer:

Volume of big cylinder = 1,438.76 cm (Approx.)

Step-by-step explanation:

Given:

Height of smaller cylinder = 3 cm

Height of big cylinder = 6 cm

Volume of smaller cylinder = 30 cm³

Find:

Volume of big cylinder

Computation:

Volume of smaller cylinder = πr²h

(22/7)(r²)(3) = 30

Radius of small cylinder = 1.783 cm (Approx.)

So,

Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)

Volume of big cylinder = πr²h

Volume of big cylinder = (22/7)(3.566)²(6)

Volume of big cylinder = 1,438.76 cm (Approx.)

Answer:

799 feet

Step-by-step explanation:

We solve using the Trigonometric function of Tangent.

tan theta = Opposite /Adjacent

From the above question, we have the height of the surveyor = 5.5 feet

theta = Angle of elevation = 65°

Adjacent = 370 feet

Let Opposite = height + height of spider rock

tan 65° = h - 5.5 /370 feet

Cross Multiply

tan 65° × 370 feet = h - 5.5

793.46756059 feet = h - 5.5

h = 793.46756059 feet + 5.5

h = 798.96756059 feet

Approximately = 799 feet

The height of the Spider rock = 799 feet

Answer:

-1/2

Step-by-step explanation:

[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]

Using the formula  [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

[tex]\frac{-4-1}{0-(-10)}[/tex]  

Simplifly

[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]

Answer:

The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions

Step-by-step explanation:

9x² - 4x + 1 = 0     ax² + bx + c = 0

The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20

b2−4ac < 0, the equation has no real number solutions, it has complex solutions

Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

Answer:

the answer is 9

check the picture for workings

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

Read more about Inequality at; https://brainly.com/question/25275758

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440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

Hope this helps you

Answer:

A

Step-by-step explanation:

The slope of a vertical line is undefined

The slope of a horizontal line is 0

hope this helps:

x is 10 degrees...