What is 98% of 95. What is 98% of 95.

Answer:

(a) The average rate of change from 0 to 2 is 6

(b) The average rate of change from 3 to 5 is 24

(c) The average rate of change from -3 to 0 is -9

Step-by-step explanation:

The formula for the average rate of change (AROC) is given by:

\(AROC=\frac{f(b)-f(a)}{b-a}\)

(a):

Finding the AROC from 0 to 2

To find the average rate of change from 0 to 2, we use f(2) and f(0), while we plug in 2 for b and 0 for a:

\(\frac{f(2)-f(0)}{(2-0)}\\ \\\frac{((3(2)^2+4)-(3(0)^2+4))}{(2-0)} \\\\\frac{(16-4)}{(2)}\\ \\\frac{12}{2}\\ \\6\)

Thus, the average rate of change from 0 to 2 is 6.

(b):

Finding the AROC from 3 to 5:

To find the average rate of change from 3 to 5, we use f(5) and f(3), while we plug in 5 for b and 3 for a:

\(\frac{f(5)-f(3)}{(5-3)}\\ \\\frac{((3(5)^2+4)-(3(3)^2+4))}{(2-0)} \\\\\frac{(79-31)}{(2)}\\ \\\frac{48}{2}\\ \\24\)

Thus, the average rate of change from 5 to 3 is 24.

(c):

To find the average rate of change from -3 to 0, we use f(0) and f(-3), while we plug in 0 for b and -3 for a:

\(\frac{f(0)-f(-3)}{(0-(-3))}\\ \\\frac{((3(0)^2+4)-(3(-3)^2+4))}{(0+3)} \\\\\frac{(4-31)}{(3)}\\ \\\frac{-27}{3}\\ \\-9\)

Thus, the average rate of change from -3 to 0 is -9.

Answer

Option C is correct.

Answer:

The pattern is a repeated triangle and circle.

So, the next shape would be a triangle and a circle.

Step-by-step explanation:

Answer:

B) 4:1

Step-by-step explanation:

It is because if you divide out 8:2 by 2, you will get 4:1 which is the answer!!!

Hope it helps and mark as Brainliest if possible!!! Good Luck!!!

Answer:

B , D , E

Step-by-step explanation:

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer:

(0,5/2) y intercept

(15/7,0) x intercept

Step-by-step explanation:

To find the y intercept, let x = 0 and solve for y

0 - 6y = -15

Divide each side by -6

y = -15/-6

y = 5/2

(0,5/2)

To find the x intercept, let y = 0 and solve for x

-7x - 0 = -15

Divide each side by -7

-7x/-7 = -15/-7

x = 15/7

(15/7,0)

Step-by-step explanation:

when the line crosses the y axis X is 0, when the line crosses the X axis y is 0 use this to answer it

Answer:

30 weeks

Step-by-step explanation:

Time taken to empty the lake = 12 weeks

Time taken to replenish the lake = 20 weeks

Job per week to empty the lake = 1/12

Job per week to fill the lake = 1/20

Let x be the time it takes to do both of these activities at the same time

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

\(m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26\)

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

393

Step-by-step explanation:

3{5+3[10+4x8]}

⇒ 3{5+3[10+32]}

⇒ 3{5+3[42]}

⇒ 3{5+126}

⇒ 3x131

⇒ 393

Answer:

Step-by-step explanation:

3x5+3x3x(10+4

15+9x(10+4x8)

15+9x10+9x4x8

15+90+288

105+288=393

Answer:

The three options that result in a difference of squares are:

(x minus y)(x plus y)

(6 minus y)(6 plus y)

(64 y squared + x squared)(64 y squared - x squared)

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer:

A

Step-by-step explanation:

Answer:

answer is 57

Step-by-step explanation:

3x-5y sshsbwisiehdducux sh

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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The ratio of rainy days to total days written as a percent will be 75%.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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An axiom of predicate calculus is the foundation of predicate calculus that is based on a fundamental and obvious principle or statement

The foundation of predicate calculus is based on a fundamental and obvious principle or statement known as an axiom.

The aforementioned axioms act as a foundation for deducing rational conclusions and evidence within the domain of predicate calculus.

Universally accurate and accepted without the need for additional reasoning is how they are commonly perceived.

The fundamental regulations and connections that oversee quantifiers, predicates, and logical operations, including conjunction, disjunction, and implication, are determined by the axioms of predicate calculus. They offer a sturdy groundwork for rationalizing statements that involve variables, quantification, and logical connectors in formal systems of logic.

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

Answer:

Step-by-step explanation: 11\12

Answer:

11/12

Step-by-step explanation:

Answer:

0.037037037037037 i think

Step-by-step explanation:

Answer: The Answer is 14.6969384567

Step-by-step explanation: Exact Form :  6 √ 6

Decimal Form :  14.69693845

Answer:

ans is 504m²

Step-by-step explanation:

given = side of square=18m

height of triangle=12m

formula= surface area of square + surface area of 4 triangles

surface area of square = 4 × length

= 4×18

=72m²

surface area of triangle = 1/2×base ×height

= 1/2×18×12 ( the base lies on the side of the squre so the base is also 18m)

= 108m²

therefore, surface area of 4 triangles = 4×108=432m²

therefore the surface area of the given figure= surface area of aquare + surface area of the 4 triangles

surface area of square= 72 +432

=504m²

Answer:

1st find the area of bigger rectangle ie l×b

again find area of small rectangle ie l×b

now subtract area of small rectangle by bigger one you get the area of shaded part

The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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Answer:

\(\large \boxed{\checkmark}} \quad \textsf{has four right angles}\)

\(\large \boxed{\checkmark}} \quad \textsf{opposite sides are congruent}\)

\(\large \boxed{\checkmark}} \quad \textsf{diagonals bisect each other}\)

\(\large \boxed{\checkmark}} \quad \textsf{opposite sides are parallel}\)

\(\large \boxed{\checkmark}} \quad \textsf{opposite angles are congruent}\)

\(\large \boxed{\checkmark}} \quad \textsf{diagonals are congruent to each other}\)

Step-by-step explanation:

Properties of a rectangle:

Therefore, the correct answer options are: