Simplify the expression
9− 3(2)2

Answer:

580×3.1 =17980 miles is answer

Answer:

(d-4)(c-9)

Step-by-step explanation:

cd-9d-4c+36

d(c-9)-4(c-9)

pull out the (c-9),

(d-4)(c-9)

It should be noted that some of these values may not be h(x) roots, but the rational zeros theorem assures that any rational root must be among these values.

A polynomial is a mathematical statement composed of variables and coefficients that be combined using only addition, subtraction, multiplication, and non-negative integer exponents. The phrase 2x3 + 5x2 - 3x + 1 is a polynomial, for example, where x is the variable and the coefficients of the various components are 2, 5, -3, and 1. Polynomials may include one or more variables, but each term must have the same variable (s). The degree of a polynomial is the highest exponent of its variable (s). In the above example, the degree of the polynomial is 3. Polynomials are used in many areas of mathematics, including algebra, calculus, and numerical analysis.

If a polynomial with integer coefficients has a rational root p/q, then p must be a factor of the constant term and q must be a factor of the leading coefficient, according to the rational zeros theorem.

The factors of eight are 1, 2, 4, and 8. 3 has two factors: 1 and 3. As a result, the rational zeros of h(x) are as follows:

±1/1, ±2/1, ±4/1, ±8/1, ±1/3, ±2/3, ±4/3, ±8/3.

It should be noted that some of these values may not be h(x) roots, but the rational zeros theorem assures that any rational root must be among these values.

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If Line M is parallel to line N, as shown in the image attached below, the angle that must be congruent to angle 5 is: angle 8.

Congruent angles are angles that have the same measure or size, i.e., they are equal in angle measure. In other words, if two angles are congruent, then they have the same amount of rotation, and their corresponding sides are in the same position with respect to each other. Congruent angles can be denoted by the symbol ≅.

Vertical angles are an example of congruent angles as they share the same corner and are directly opposite each other. Therefore, the angle that is congruent to angle 5 is: angle 8.

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Missing info:

See image below that contains the complete question and diagram referred to.

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

-1

Step-by-step explanation:

Twice a number of 4 equals 8

4×2=8

less than 9 of the quotient (answer) of twice a number of 4, is -1

8-9= -1

The required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.

An expression Nine less than the quotient of twice a number and four. is to be determined.

The process in mathematics to operate and interpret the function to make the function simple or more understandableis called simplify and the process is called simplification.

The quotient is the result when one value gets divided by some other value.

Using simple arithmetic,
Let the number be x,
A number y is equal to nine less than the quotient of twice of x and four. So,
y = quotient of 2x and four - 9
y = 2x/4 - 9

Thus, the required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.

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Answer:

∠R = 17°

∠Q = 100°

∠P = 63°

Step-by-step explanation:

In a triangle all the degrees added together should be 180°. Because we know this, we can add up every component and set it to 180 like this:

\(4x - 5 + 6x - 2 +x = 180\)

After combining like terms we get:

\(11x - 7 = 180\)

add 7 to both sides and then divide by 11 to get:

\(x = 17\)

Now that we know x we know ∠R = 17°.

In order to find the rest we plug in 17 for x into their given formulas. For ∠Q:

\(6(17) - 2 = 100\)

And for ∠P you can plug in to get the answer or do 180 - 100 - 17 (subtracting the other 2 angles):

180 - 100 - 17 = 63

or

\(4(17) - 5 = 63\)

Answer:

10 slices of cheese at 2.48

Step-by-step explanation:

each slice is about 0.25

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

8% of $15,000 = .08 × $15,000 = $1,200

Answer:

138

Step-by-step explanation:

because 41 + 97 is 138

Answer:

\((a)\)  \(P(M\ or\ P\ or\ C) = 1.307\)

(b) See Explanation

Step-by-step explanation:

Given

\(P = 312\) ---- Professionals,

\(M = 470\) ----- Married persons,

\(C = 525\) ---- College graduates,

\(PCG = 42\)  ----- Professional college graduates,

\(MCG = 147\) ----- Married college graduates,

\(MP = 86\)  ---- Married professionals,

\(MPCG = 25\) ---- Married professional college graduates

\(Total =1000\)

Solving (a): P(M or P or C)

This is calculated as:

\(P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)\)

\(P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}\)

\(P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}\)

\(P(M\ or\ P\ or\ C) = \frac{1307}{1000}\)

\(P(M\ or\ P\ or\ C) = 1.307\)

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect

Answer:

there are 30 tens in 300

Step-by-step explanation:

30×10 is 300

Answer:

$3.60

Step-by-step explanation:

2.40/8=.30

$.30 per bar

.3 x 12= $3.60

Answer:

$3.60

Step-by-step explanation:

Proportions

8 bars ⇔ $2.4

12 bars ⇔ $W

W = 12*2.4/8

W = $3.6

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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9514 1404 393

Answer:

  5

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  \(\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}\)

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, 5 is the answer.

Answer:

Step-by-step explanation:

Since there are 360 degrees in a circle the area of the shaded region = 80/360 * area of the circle.

This = 80/360 * 81 π

= 2/9 * 81 π

= 18 π

Answer:

Area = 18π  cm²

Step-by-step explanation:

The shaded region is a sector of a circle with radius 9 cm.

\(\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}\)

From inspection of the give diagram:

Substitute the values into the formula for area of a sector:

\(\implies A=\left(\dfrac{80^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\)

\(\implies A=\dfrac{2}{9} \pi \cdot 81\)

\(\implies A=\dfrac{162}{9} \pi\)

\(\implies A=18 \pi\;\; \f cm^2\)

Therefore, the area of the shaded region is 18π cm².

Answer:

87

Step-by-step explanation:

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Yes

Step-by-step explanation:

\( \frac{16}{24} = \frac{2}{3} \)

if we divide 16 ÷ 8 = 2

if we divide 24 ÷ 8 = 3

\( \frac{28}{42} = \frac{4}{6} = \frac{2}{ 3} \)

if we divide 28 ÷ 7 = 4

if we divide 42 ÷7 = 6

we divide both 6 and 4 ÷2

2/3

\( \frac{16}{24} = \frac{28}{42} \)

Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

Answer:

483960

Step-by-step explanation:

484848

-     888

______

483960

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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The ODE

\(\dfrac{\mathrm dy}{\mathrm dx}=\cos^2\left(\dfrac{\pi y}4\right)\)

is separable, as

\(\dfrac{\mathrm dy}{\cos^2\left(\frac{\pi y}4\right)}=\mathrm dx\)

\(\sec^2\left(\dfrac{\pi y}4\right)\,\mathrm dy=\mathrm dx\)

Integrate both sides:

\(\displastyle\int\sec^2\left(\dfrac{\pi y}4\right)\,\mathrm dy=\int\mathrm dx\)

In the left integral, substitute u = πy/4 and du = π/4 dy :

\(\displastyle\frac4\pi\int\sec^2(u)\,\mathrm du=\int\mathrm dx\)

\(\dfrac4\pi \tan(u)=x+C\)

\(\dfrac4\pi\tan\left(\dfrac{\pi y}4\right)=x+C\)

Given that y = 1 when x = 0, we have

\(\dfrac4\pi\tan\left(\dfrac\pi4\right)=C\implies C=\dfrac4\pi\)

since tan(π/4) = 1. So the ODE has a particular solution of

\(\dfrac4\pi\tan\left(\dfrac{\pi y}4\right)=x+\dfrac4\pi\)

or

\(\tan\left(\dfrac{\pi y}4\right)=\dfrac{\pi x}4+1\)

Now when y = 3, we have

\(\tan\left(\dfrac{3\pi}4\right)=\dfrac{\pi x}4+1\)

\(-1=\dfrac{\pi x}4+1\)

\(-2=\dfrac{\pi x}4\)

\(-8=\pi x\)

\(x=-\dfrac8\pi\)

making the answer C.

Answer:

x = -2 , -1

Step-by-step explanation:

Set the equation equal to 0. Add 2 to both sides:

x² + 3x = -2

x² + 3x (+2) = - 2 (+2)

x² + 3x + 2 = 0

Simplify. Find factors of x²  and 2 that will give 3x when combined:

x²  + 3x + 2 = 0

x               2

x               1

(x + 2)(x + 1) = 0

Set each parenthesis equal to 0. Isolate the variable, x. Note that what you do to one side of the equation, you do to the other.

(x + 2) = 0

x + 2 (-2) = 0 (-2)

x = 0 - 2

x = -2

(x + 1) = 0

x + 1 (-1) = 0 (-1)

x = 0 - 1

x = -1

x = -2 , -1

~

Answer:

x = -2       OR      x = -1

Step-by-step explanation:

=> \(x^2+3x = -2\)

Adding 2 to both sides

=> \(x^2+3x+2 = 0\)

Using mid-term break formula

=> \(x^2+x+2x+2 = 0\)

=> x(x+1)+2(x+1) = 0

=> (x+2)(x+1) = 0

Either:

x+2 = 0    OR     x+1 = 0

x = -2       OR      x = -1

P.S. Ummmm maybe...... Because he usually reports absurd answers! So, Won't it be better that he could directly delete it. And one more thing! He's Online 24/7!!!!!

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

d² - 24d + c = (d - 12)² - 144 + c