30
Evaluate the expression for x = 4 and y = 5.
61x² - y) - 7
A. 8
B.
41
C. 47
D.
56
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Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.

Step-by-step explanation:

Using a geometric sequence, it is found that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

On the first minute, one flake fell. On the second minute, two flakes fell. On the third minute, four flakes fell(3 + 1). On the fourth minute, eight flakes fell(1 + 2 + 4 + 1). Hence the first term and the common ratio of the sequence are given by:

[tex]a_1 = 1, q = 2[/tex].

And the amount of flakes that fell in the minute n is:

[tex]a_n = 2^{n-1}[/tex]

In the 12th minute, the amount is given by:

[tex]a_{12} = 2^{12-1} = 2048[/tex]

In the 24th minute, the amount is given by:

[tex]a_{24} = 2^{24-1} = 8388608[/tex]

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The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°

A regular polygon is one that is two-dimensional and can be created at least three lines together.

Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.

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Answer:

[tex] \frac{x - 2}{7} [/tex]

Step-by-step explanation:

[tex]f(x) = 7x + 2[/tex]

[tex]let \: \: f(x) = y[/tex]

[tex]7x + 2 = y[/tex]

[tex]7x = y - 2[/tex]

[tex]x = \frac{y - 2}{7} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]

[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]

Remember , inverse functions do the opposite things in the opposite order.

Here's what happened to x here :

We can easily find the inverse of any function by following these steps :

f(x)=7x+2

y=7x+2

        2. Now , switch y and x places :

x=7y+2

            3. Solve for y .

First , subtract 2 on both sides :

x-2=7y

Divide by 7 on both sides :

[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]

[tex]\tiny\text{hope\:helpful}[/tex]

Answer:

12 hours

Step-by-step explanation:

you take the amount of hours and multiple it by the days. so 2x6=12

Answer:

90 degree's

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees

             - - - - - -- - - - - - - - - - - - - - - - - -- - - - - - - - - -- - - - - - - - - -- - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

When are two angles complementary?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Two angles are complementary when they add up to [tex]\tt{90\textdegree}[/tex].

For example:-

Angles whose measures are 60º and 30º are complementary because they add up to 90º.

Now, supplementary angles add up to [tex]\tt{180\textdegree}[/tex].

For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.

            - - - -- - - - - - - - - - - - - --  - -- - - - - - - - - - - - -- - - - - - - -- - - - - -- - - -

Answer:

88.8

Step-by-step explanation:

The circumference of the ball will be 43.988cm and dividing the circumference by the diameter equals pie.

The object that's chosen in this scenario is a circular ball. The diameter of the ball is 14cm.

The circumference of the ball will be:

= 2πr

= 2 × 3.142 ×(14/2)

= 2 × 3.142 × 7

= 43.988cm

Dividing the circumference by the diameter will be:

= 43.988cm/14cm

= 3.142

The answer is close to pi.

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Answer:

25 unit²

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Answer:

The answer is 4,530

Step-by-step explanation:

2550 + 1980 = 4,530

Answer:

2 + 5x - 4y

OR

-4y + 5x + 2

Step-by-step explanation:

The order of arrangement doesn't matter, what matters are the signs

Answer:

Answer:

12[tex]x^{3}[/tex] - 14x² + 8x - 2

Step-by-step explanation:

1. Distribute the parentheses:

4x(3x²) + 4x(-2x) + 4x(1) + (-2)(3x²) + (-2)(-2x) + (-2)(1)

2. Multiply:

12[tex]x^{3}[/tex] + (-8x²) + 4x + -6x² + 4x + (-2)

3. Combine like terms:

12[tex]x^{3}[/tex] - 14x² + 8x -2

hope this helps!

Answer:

60

Step-by-step explanation:

There are 100 centimeters in a meter (centi- is a prefix meaning hundred), so all you have to do is multiply the meters by 100. 0.6 x 100 = 60. The volume is 60 cm^3.

Hope this helped!

Answer:

1/2

Step-by-step explanation:

: 0.5 as a fraction is written as 1/2

A credit card has to be paid in full on the due date. The correct option among all the options that are given in the question is the first option. The other choices are incorrect and can be easily neglected. The amount of money that the credit card company bills for a month has to be paid in full within the due date or additional fine would be added to the next bill.

Answer:

The common denominator is 8

Step-by-step explanation:

It depends on what you mean. The denominator is 8 in both of the fractions that is being added together

The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

-3x + 5y = -15

The above function shows a linear function we can write it as:

5y = 3x - 15

y = (3x - 15)/5

If x = 0, y = -3

x = 1, y = -2.4

x = 2, y = -1.8

x = -1, y = -3.6

x = -2, y = -4.2

Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

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Answer:

c

Step-by-step explanation:

trust

You first have to add the total number of pedestrian deaths

[tex]52+252+86+587=977[/tex]

You then have to find the number of civilians that were intoxicated when they died

[tex]52+252=304[/tex]

Divide that number by the total number of pedestrian deaths

[tex]=304/977\\\\=0.3111566018\\\\=0.3112[/tex]

Answer:

  (x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in clockwise order. The corresponding vertices V'W'X' are in counterclockwise order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

  (x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

__

Additional comment

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This is the algebraic rule.

Answer:

418 meters

Step-by-step explanation:

The total distance is 996 meters, hare completed 578 meters. The question asked how much further hare has to run which indicates that this is a subtraction problem.

Equation to solve :996-578=x

x=418

Hope this helps, let me know if I am wrong. Have a good day:)

If the probability of success is 0.03. Then the expected value of the raffle will be 3.

Binomial distributions consist of n independent Bernoulli trials.

The expected value X will be given below.

E(X) = np

A raffle at a local fair has tickets for purchase for $10 each.

There are 100 total tickets in the raffle.

The tickets are shuffled, then 3 are selected to win a $100 prize.

Then the probability of success will be

p = 3/100

p = 0.03

Then the expected value of the raffle will be

n = 100

Then we have

E(X) = np

E(X) = 100 x 0.03

E(X) = 3

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Answer: [tex]f^-1(1)=-1[/tex]

Step-by-step explanation:

From the graph given we can derive the function  [tex]f(x)[/tex]

[tex]f(x) = .5x + 1.5[/tex]

To solve  [tex]f^-1(1)[/tex] we need to find the inverse function of [tex]f(x)[/tex].

Inverse functions are functions that essentially "reverse" the mapping of the domain ([tex]x[/tex]) and range ([tex]y[/tex]) of the parent function.

To find the inverse function  [tex]f(x)[/tex] we need to solve for x in terms of y.

[tex]y = .5x + 1.5[/tex]

[tex]y - 1.5 = .5x[/tex]

[tex]\frac{y - 1.5}{.5} = \frac{.5x}{.5}[/tex]

[tex]x=2y-3[/tex]

from this, we can derive that

[tex]f(y)^-1=2y-3[/tex]

this can also be written as a function of x

[tex]f(x)^-1 = 2x-3[/tex]

both functions are identical.

take one of these functions and you can find that

[tex]f^-1(1) = 2(1) - 3[/tex]

[tex]f^-1(1) = -1[/tex]

Answer:

  c.  f(x) = 2 cos(x − π) − 1

Step-by-step explanation:

The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.

For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...

  f(x) = 2·cos(x -π) -1

the answer is 6.72.

2.1 x 3.2 = 6.72

Answer:

6.72 is the answer

y=x2 + 5x + 10

y + 5x = x2 + 10 + 4x - 10

0 = x2-9x 0 = x2 - 9x + 20