1-) Solve the given equation using the secant method
F(x) = cos(x) – 3x^2 + 5x + 6

Answer:

C. A square is equiangular and equilateral

Answer:

(1,0)

Step-by-step explanation:

The vertex is the maximum of the parabola

It is at x=1 and y = 0

(1,0)

Answer:

(1, 0)

Step-by-step explanation:

In simpler words, the vertex of a parabola is where it bends.  

you don't want to exceed 525, so you set the inequality to be

\(525\geq 175+85x\)

we can think of the max as just

\(525=175+85x\)

solve for x

\(85x=350\)

\(x=4ish\)

(note: always round down so that you don't exceed the max. ex. you could round to 4.11 instead of 4.12. x=4.12 would give you a value greater than 525)

Answer:

5

Step-by-step explanation:

number of boys=x

number of girls= 3x=15

solution

3x/3=15/3

x= 5

There are 5 boys

The advertising firm should sample 753 individuals to estimate the proportion who would consider buying the product to within a margin of error of ±3% with 90% confidence.

Margin of error, sample size and confidence level are crucial aspects of the sample survey that determine the accuracy of the outcome. The advertising firm plans to have a sample of individuals view a commercial on a ‘‘sunscreen pill" that one can swallow to provide mild SPF protection throughout the day.

After viewing the commercial, each individual will be asked if he/she would consider buying the product. How many individuals should the firm sample to estimate the proportion who would consider buying the product to within a margin of error +-3% with 90% confidence?Given dataMargin of error (E) = 3%Confidence level = 90% The confidence level means that the sample should give results that have a 90% chance of falling within the margin of error.

The margin of error is given by the formula:Margin of error = z * sqrt(p*q/n)where: z is the z-score (value from the standard normal distribution table) that corresponds to the given confidence level. For 90% confidence level, z is 1.645.p is the estimated proportion of people who would consider buying the product.q is the estimated proportion of people who would not consider buying the product.

Since there is no prior estimate, it's assumed to be 0.5n is the sample size. The formula can be rearranged to solve for the sample size, n. n = (z/E)² * p*qTaking z = 1.645, E = 3%, p = 0.5, q = 0.5, we getn = (1.645/0.03)² * 0.5 * 0.5= 752.68 ≈ 753 individuals

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Answer:

Option (4)

Step-by-step explanation:

Volume of a rectangular prism is given by the formula,

Volume = Length × Width × Height

From the picture attached,

Length of the prism = 5 cm

Width of the prism = \(3\frac{3}{4}\) = \(\frac{15}{4}\) cm

Height of the prism = \(8\frac{1}{2}\) = \(\frac{17}{2}\) cm

Volume of the given prism = \(\frac{5}{1}\) × \(\frac{15}{4}\) × \(\frac{17}{2}\)

                                             = \(\frac{5\times 15\times 17}{1\times 4\times 2}\)

                                             = \(\frac{1275}{8}\)

                                             = \(159\frac{3}{8}\) cm³

Therefore, Option (4) is the correct option.

The equation of the line is y + 7 = 1/5(x + 4)

Linear equations are equations that have constant average rates of change.

The given parameters are

Slope, m = 1/5

Point (x, y) = (-4, -7)

A linear equation is represented as

y = m(x - x₁) + y₁

Where

Slope, m = 1/5

(x, y) = (-4, -7)

Substitute the known values in the above equation

So, we have the following equation

y = 1/5(x + 4) - 7

Add 7 to both sides

So, we have

y + 7 = 1/5(x + 4)

Hence. the linear equation is y + 7 = 1/5(x + 4)

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Answer:

No solution

Step-by-step explanation:

The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.

Answer:

In Q39, the value 3x should be positive and in Q40, the final answer is missing 8x and the fact that 4x^2 is negative (-4x^2)

Step-by-step explanation:

39:

1. \(-(-3x)\) is presented as \(-3x\) when it should be \(+3x\), as 2 negatives make a positive.

2. Again, \(-3x\) is shown instead of \(+3x\)

3. The answer \(-x^2-2x\) should instead be \(-x^2+4x\), as \(-3x\) is used to reach this incorrect answer instead of the correct \(+3x\)

40:

1. \((x^3-4x^2+3)+(-3x^3+8x-2)=(x^3-3x^3)-4x^2+8x+(3-2)=-2^3-4x^2+8x+1\),

The final answer is wrong as it is missing the 8x and the fact that it is \(-4x^2\)and not \(+4x^2\)

Based on the sample of 250 randomly selected registered voters in Raleigh, we could expect that approximately 324 of the 9,000 registered voters in Raleigh are still undecided.can use statistical inference to make predictions about the population of all 9,000 registered voters in the city.

First, we can use the proportion of voters in the sample who said they would vote for Brown to estimate the proportion of all voters in Raleigh who would vote for Brown. Specifically, 119 out of 250 voters in the sample said they would vote for Brown. Therefore, the proportion of voters in the sample who would vote for Brown is:
119/250 = 0.476

We can use this proportion to estimate the proportion of all 9,000 registered voters in Raleigh who would vote for Brown by multiplying it by the total number of registered voters:
0.476 * 9,000 = 4,284

Therefore, based on this sample, we could expect that approximately 4,284 of the 9,000 registered voters in Raleigh would vote for Brown. Similarly, we can use the proportion of voters in the sample who said they would vote for Feliz to estimate the proportion of all voters in Raleigh who would vote for Feliz. Specifically, 122 out of 250 voters in the sample said they would vote for Feliz. Therefore, the proportion of voters in the sample who would vote for Feliz is:
122/250 = 0.488

We can use this proportion to estimate the proportion of all 9,000 registered voters in Raleigh who would vote for Feliz by multiplying it by the total number of registered voters:

0.488 * 9,000 = 4,392

Therefore, based on this sample, we could expect that approximately 4,392 of the 9,000 registered voters in Raleigh would vote for Feliz. Finally, we can use the proportion of voters in the sample who were still undecided to estimate the proportion of all voters in Raleigh who are still undecided. Specifically, 9 out of 250 voters in the sample were undecided. Therefore, the proportion of voters in the sample who were still undecided is:
9/250 = 0.036

We can use this proportion to estimate the proportion of all 9,000 registered voters in Raleigh who are still undecided by multiplying it by the total number of registered voters:
0.036 * 9,000 = 324

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Answer:

its 40

Step-by-step explanation: 65+75= 140     180-140=40

give brainliest plz lol

The given multiplication is true i.e, 1 1/4 × 6 = 7 1/2. The product of a mixed fraction and a whole number gives a whole number or an improper fraction that is greater than the whole number multiplied.

To multiply a mixed faction with a whole number, follow the below steps:

A mixed fraction is the combination of the quotient (a whole number) and a remainder (proper fraction).

The given product is 1 1/4 × 6

Here 1 1/4 is the mixed fraction with 1 and 1/4.

So, converting it into an improper fraction. i.e.,

1 1/4 = (1 × 4 + 1)/4 = 5/4

Then, multiplying the numerator with the given whole number 6, we get

1 1/4 × 6 = (5 × 6)/4

             = 30/4

             = 15/2

Since the obtained value is an improper fraction, we can again write it into a mixed fraction as  = 7 1/2.

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To calculate the expected number of die rolls it takes to reach either condition (A) or condition (B), we need to first calculate the probability of each scenario occurring and then use those probabilities to find the expected value of X.

To find the expected value of X, we need to first calculate the probability of each scenario occurring. Let's start with condition (A), rolling a "1" on any given roll. Since the die is fair and uniformly distributed, the probability of rolling a "1" on any given roll is 1/6. We can express this probability as P(A) = 1/6 + ((5/6) * 1/6) + ((5/6)^2 * 1/6) + ... + ((5/6)^(n-1) * 1/6), where n is the number of rolls it takes to roll a "1". Using some probability theory, we can simplify this expression as P(A) = 6/11.

Finally, we can use these probabilities to find the overall probability of reaching either condition (A) or condition (B) on any given roll. Since these events are mutually exclusive (i.e. you can't roll a "1" and two "2"s in a row at the same time), we can simply add their probabilities together: P(A or B) = P(A) + P(B) - P(A and B) = 6/11 + 1/36 - (1/6)*(1/36) = 201/396.

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Answer:

D

Step-by-step explanation:

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

-6

Step-by-step explanation:

The equation for this line is y=x-3, so the equation turns into

y=-3-3

-3-3=-6

so therefore, y=-6 when x=-3

Answer:

It would be Zero, because x is -3.

So y would be 0.

Step-by-step explanation:

No, reflecting triangle RST across the y-axis will not necessarily result in congruent corresponding sides of the two triangles.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Reflection across the y-axis involves changing the sign of the x-coordinates of each point in the original triangle. This means that the shape of the triangle will be mirrored across the y-axis, but the lengths of the sides may not remain the same.

To determine if the corresponding sides of the two triangles will be congruent after reflection, you would need to know the specific coordinates of the vertices of triangle RST and perform the necessary calculations.

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Answer:

18x + 27

Step-by-step explanation:

3(6x + 12 - 3) , that is

3(6x + 9) ← multiply each term in the parenthesis by 3

= 18x + 27

The net outward flux across the boundary of the tetrahedron is: 5, using the concept of gradient of function.

The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).

Given vector field:

F = ( -x, 3y, 2 z )

Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )

Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]

Δ . F = - 1 + 3 + 2

Δ . F = 4

According to divergence theorem;

Flux =  ∫∫∫ Δ . (F) dv

x+y+z = 1; so, 1st octant

∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx

= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) dy dx

= 5

Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: 5

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Answer:

Step-by-step explanation:

D think is your answer

The measure of the angle between Elm Street and Pine Avenue i.e. ∠FEH is 72°.

It is given that EFGH is a trapezium in which EF ≅ HG, side FG and EH are parallel.

∠G = 108°

since FG || EH

Then  ∠G = ∠H  = 108°  (corresponding angle are equal)

The measure of the angle between Elm Street and Pine Avenue would be equal to interior angles +  180°               (alternate angles are equal)

The measure of angle between Elm Street and Pine Avenue = 180° - 108°

The measure of angle between Elm Street and Pine Avenue = 72°

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The given question is incomplete, the complete question is :

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°

Answer:

B. 4.09 cm²

Step-by-step explanation:

Let point O be the center of the circle.

As the center of the circle is the midpoint of the diameter, place point O midway between P and R.

Therefore, line segments OP and OQ are the radii of the circle.

As the radius (r) of a circle is half its diameter, r = OP = OQ = 5 cm.

As OP = OQ, triangle POQ is an isosceles triangle, where its apex angle is the central angle θ.

To calculate the shaded area, we need to subtract the area of the isosceles triangle POQ from the area of the sector of the circle POQ.

To do this, we first need to find the measure of angle θ by using the chord length formula:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Chord length formula}\\\\Chord length $=2r\sin\left(\dfrac{\theta}{2}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the central angle.\\\end{minipage}}\)

Given the radius is 5 cm and the chord length PQ is 6 cm.

\(\begin{aligned}\textsf{Chord length}&=2r\sin\left(\dfrac{\theta}{2}\right)\\\\\implies 6&=2(5)\sin \left(\dfrac{\theta}{2}\right)\\\\6&=10\sin \left(\dfrac{\theta}{2}\right)\\\\\dfrac{3}{5}&=\sin \left(\dfrac{\theta}{2}\right)\\\\\dfrac{\theta}{2}&=\sin^{-1} \left(\dfrac{3}{5}\right)\\\\\theta&=2\sin^{-1} \left(\dfrac{3}{5}\right)\\\\\theta&=73.73979529...^{\circ}\end{aligned}\)

Therefore, the measure of angle θ is 73.73979529...°.

Next, we need to find the area of the sector POQ.

To do this, use the formula for the area of a sector.

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

Substitute θ = 73.73979529...° and r = 5 into the formula:

\(\begin{aligned}\textsf{Area of section $POQ$}&=\left(\dfrac{73.73979529...^{\circ}}{360^{\circ}}\right) \pi (5)^2\\\\&=0.20483... \cdot 25\pi\\\\&=16.0875277...\; \sf cm^2\end{aligned}\)

Therefore, the area of sector POQ is 16.0875277... cm².

Now we need to find the area of the isosceles triangle POQ.

To do this, we can use the area of an isosceles triangle formula.

\(\boxed{\begin{minipage}{6.7 cm}\underline{Area of an isosceles triangle}\\\\$A=\dfrac{1}{2}b\sqrt{a^2-\dfrac{b^2}{4}}$\\\\where:\\ \phantom{ww}$\bullet$ $a$ is the leg (congruent sides). \\ \phantom{ww}$\bullet$ $b$ is the base (side opposite the apex).\\\end{minipage}}\)

The base of triangle POQ is the chord, so b = 6 cm.

The legs are the radii of the circle, so a = 5 cm.

Substitute these values into the formula:

\(\begin{aligned}\textsf{Area of $\triangle POQ$}&=\dfrac{1}{2}(6)\sqrt{5^2-\dfrac{6^2}{4}}\\\\ &=3\sqrt{25-9}\\\\&=3\sqrt{16}\\\\&=3\cdot 4\\\\&=12\; \sf cm^2\end{aligned}\)

So the area of the isosceles triangle POQ is 12 cm².

Finally, to calculate the shaded area, subtract the area of the isosceles triangle from the area of the sector:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Area of sector $POQ$}-\textsf{Area of $\triangle POQ$}\\\\&=16.0875277...-12\\\\&=4.0875277...\\\\&=4.09\; \sf cm^2\end{aligned}\)

Therefore, the area of the shaded region is 4.09 cm².

Answer:

Number of oranges= 616

Step-by-step explanation:

Giving the following information:

A farmer harvested 1,760 pieces of fruit. 65% of them were not oranges.

To calculate the number of oranges, we need to use the following formula:

Number of oranges= total number of fruits*percentage of oranges

Number of oranges= 1,760 * (1 - 0.65)

Number of oranges= 616

The total cost of the paint is approximately $15.40.To calculate the total cost of the paint, we need to find the volume of the bucket and then multiply it by the cost per cubic inch.

The volume of a cylinder can be calculated using the formula:

Volume = π * r^2 * h

Given that the radius (r) is 3.5 inches and the height (h) is 8 inches, we can substitute these values into the formula:

Volume = 3.14 * 3.5^2 * 8

Simplifying the calculation:

Volume ≈ 3.14 * 12.25 * 8 ≈ 307.92 cubic inches

Now, we can calculate the total cost by multiplying the volume by the cost per cubic inch:

Total cost = 307.92 * $0.05 ≈ $15.40

Therefore, the total cost of the paint is approximately $15.40.

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Answer:

x=68

Step-by-step explanation:

We begin by setting up as a proportion. 99.2 and 112 ft are across from each other so we can put those as our numerators. Additionally 62 and (x+2) ft are across from each other so we can put those as denominators. Now we can set up our proportion and begin to cross multiply:

99.2/62 = 112/(x+2) is our equation. It might help you see it clearly to write it out as fractions. From here, we cross multiply.

When we do that, we get x=68

The weights of the three girls are 55 kg, 60.5 kg, and 66 kg, respectively, and their weight ratio is 1: 1.1: 1.2.

Let the weight of the three girls be x, 1.1x, and 1.2x, respectively. Since the total weight of the three girls is 181.5 kilograms, we can write the equation:

x + 1.1x + 1.2x = 181.5

Simplifying the equation, we get:

3.3x = 181.5

x = 55

Therefore, the weight of the first girl is x = 55 kilograms, the weight of the second girl is 1.1x = 60.5 kilograms, and the weight of the third girl is 1.2x = 66 kilograms.

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The question is -

Three girls have a combined weight of 181.5 kilograms. If the weight of three girls is in the ratio of 1 : 1.1: 1.2, what is the weight of each girl?

Answer: 2 and 10/21

Step-by-step explanation:

I JUST DID THE WORK.!!

Answer:

answer is 52 /21 or 2 10/21 ....

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Answer:

ANS = \(8x^3\)

Step-by-step explanation:

formula = L*B*H

            = 4x*2x*x

            = \(8x^2\) * x

            = \(8x^3\)