answer pls. question in photo

Answer:

Step-by-step explanation:

Suppose we are asked to solve the quadratic equation

(

�

−

1

)

(

�

+

3

)

=

0

(x−1)(x+3)=0left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, equals, 0. [Why is this a quadratic equation?]

This is a product of two expressions that is equal to zero. Note that any

�

xx value that makes either

(

�

−

1

)

(x−1)left parenthesis, x, minus, 1, right parenthesis or

(

�

+

3

)

(x+3)left parenthesis, x, plus, 3, right parenthesis zero, will make their product zero.

(

�

−

1

)

(

�

+

3

)

=

0

↙

↘

�

−

1

=

0

�

+

3

=

0

�

=

1

�

=

−

3

(x−1)

↙

x−1=0

x=1

​

(x+3)=0

↘

x+3=0

x=−3

​

Substituting either

�

=

1

x=1x, equals, 1 or

�

=

−

3

x=−3x, equals, minus, 3 into the equation will result in the true statement

0

=

0

0=00, equals, 0, so they are both solutions to the equation.

To factor a quadratic equation with a coefficient greater than 1 using the earmuff method, follow the steps of factoring normally but consider the coefficient 'a' when finding the two numbers that add up to 'b'.

When factoring a quadratic equation with a coefficient greater than 1, the earmuff method is a helpful technique. Let's consider a quadratic equation in the form of \(ax^{2}\) + bx + c, where 'a' represents the coefficient of \(x^{2}\). To factor the equation, we follow these steps:

Multiply 'a' and 'c' to obtain the product 'ac'.

Find two numbers that multiply to 'ac' and add up to 'b', the coefficient of 'x'.

Rewrite the middle term 'bx' as the sum of the two numbers found in step 2.

Group the terms in pairs and factor by taking out the common factor.

Factor out the greatest common factor from each pair of terms.

Write the factored form of the quadratic equation.

The earmuff method ensures that we consider the coefficient 'a' when finding the two numbers that add up to 'b'. By accounting for 'a', we ensure that the factored form reflects the relationship between the terms and maintains the accuracy of the equation.

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The height of the tree standing vertically is 102.45 feet.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sine rule for triangles, a/sinA = b/sinB = c/sinC.

Let, The height of the tree be 'x' inclined at an angle of 10°.

Therefore, From the given information,

x/sin10° = 42/sin25°.

x = (42×0.422)/0.173.

x = 102.45.

So, the height of the tree is 102.45 feet.

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71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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Answer:

7

Step-by-step explanation:

35-8-4-2=21

21/3=7

Answer:

7 pounds

Step-by-step explanation:

8+4+2=14

35-14=21

21/3=7

The probability of a vanilla taffy is given as follows:

P(vanilla) = 0.31.

Hence the probability of a vanilla or banana taffy is given as follows:

P(vanilla or banana) = 0.52.

The two parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

When we are given the relative frequencies, we must simply identify the desired outcomes, as follows:

Hence the probability is given as follows:

P(vanilla or banana) = P(vanilla) + P(banana) = 0.52.

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Using the formula of slope of a line, the slope in the graph is -2/3

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by the formula

m = y₂ - y₁ / x₂ - x₁

Taking two coordinate from the line;

Substituting the values into the formula below

m = y₂ - y₁ / x₂ - x₁

m = 0 - 4 / 6 - 0

m = -4 / 6

m = -2/3

The slope is -2/3

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The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

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A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry).

A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.

A transformation of geometry can be rigid or non-rigid; "isometry" is another name for a rigid transformation. The size or shape of the figure remains unchanged when an isometry, such as a rotation, translation, or reflection, is applied. Since a dilation either increases or decreases the size of a figure, it is not an isometry.

A linear transformation with length preservation is called an isometry of the plane. Rotation, translation, reflection, gliding, and the identity map are all examples of isometries. Geometrically congruent refers to two geometric forms that are connected by an isometry.

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The statement "global warming leads to a poleward displacement of midlatitude cyclone tracks" is generally supported by scientific evidence and is widely accepted by the scientific community.

This is because the increase in global temperatures due to global warming affects atmospheric circulation patterns, leading to shifts in weather systems, including midlatitude cyclones.

On the other hand, the statement "global warming is unrelated to midlatitude cyclone tracks" is not supported by scientific consensus.

The statement "greenhouse gas emissions have little to do with the atmospheric greenhouse effect" is incorrect. Greenhouse gas emissions, such as carbon dioxide and methane, are major contributors to the greenhouse effect, which is responsible for trapping heat in the Earth's atmosphere.

Lastly, the statement "the conveyor belt model is inconsistent with greenhouse theory" is also incorrect. The conveyor belt model, also known as the thermohaline circulation, describes the movement of ocean currents that play a significant role in distributing heat around the globe. While it is not directly related to the greenhouse effect, it is not inconsistent with greenhouse theory and operates independently to transport heat in the ocean.

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The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

Step-by-step explanation:

If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².

Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²

If each person takes up 2.5ft², total number of people in the arena will  be gotten by simply dividing the area of all the four sides by the area took up by each person.

Total number of people in the arena = area of all the four sides by the area/ area took up by each person.

Total number of people in the arena = 2400/2.5

Total number of people in the arena  = 960 people.

Hence there are approximately 960 people in the arena.

Answer:

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

\(A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right]\)

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

Answer:

1/14

Step-by-step explanation:

Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake

P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =

6/21 = 2/7

If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes

Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4

P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14

Answer: 1: 011

Step-by-step explanation: just put it

Answer:

C

Step-by-step explanation:

point-slope equation is y-y1=m(x-x1)

y1=2

x1=6

m=(-5/7)

so the equation is y-2=-5/7(x-6)

hope this helps :3

The population of the city in 2023 is 1.6 * 10^6.

The exponential function is a mathematical function that describes the growth of a quantity as a power of another quantity.

In mathematics, the exponential function is used to model a wide range of phenomena including exponential decay, compounding interest, and population growth.

Using the exponential growth model;

P = Poe^rt

P = population at time t

Po = Initial population

r = Population growth rate

t = time

4Po = Poe^rt

If t = 1

4Po/Po = e^r

4 =  e^r

r = ln4

r = 1.4

The population in 2023 is;

P = 88e^1.4 * 7

P = 1.6 * 10^6

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Complete Question

Denise has 4 hours to paint crafts. She would like to spend no more than 1/4 of each hour on each craft. How many crafts can she paint during that time?

Answer:

16 crafts

Step-by-step explanation:

From the above question, we know that:

1/4 hour = 1 craft

4 hours = x crafts

Cross Multiply

1/4hour × x crafts = 4 hours × 1 craft

x crafts = 4 hours ÷ 1/4 hour

x crafts = 4 × 4

x = 16 crafts

She can paint 16 crafts during that time.

Let's simplify:

√12 + 2 √27

√12 = √4 * 3 = 2√3

√27 = √9 * 3 = 3√3

Therefore, getting back to the starting point:

√12 + 2 √27

√4 * 3 + 2 √9 * 3

2√3 + 6√3

8√3

Answer:

131.56

Step-by-step explanation:

Answer:

the answer is the question B!!

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

B) -1 is your answer

Step-by-step explanation:

have a nice day!!

A portion of a square and a portion of a circle were used to create this figure. The perimeter of the figure is 36.28 units.

Given that,

A portion of a square and a portion of a circle were used to create this figure.

We have to find the perimeter of the figure.

Three linear sides are measured in units of 4, 8, 8, 4.

Radius of the circular part = 4 units

Measure of a polygon's circumference equals the polygon's perimeter.

From the figure we can see,

Figure perimeter equals the sum of the lengths of the three straight lines and the circumference of the quarter circle.

Measure of linear sides = 4 + 8 + 8 + 4 = 24 units

Circumference of the quarter circle = 1/4(2πr)

=1/2×π×4

=2×π

=2×3.14

=6.28 units.

Perimeter of the figure is 30+6.28

=36.28 units.

Therefore, the perimeter of the figure is 36.28 units.

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The surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet is 996 ft².

A = Surface area

l = Length

w = Width

h = Height

A = 2 ( w l + h l + h w )

= 2 · ( 10 · 13 + 16 · 13 + 16 · 10 )

= 996 ft²

The gap occupied by using a dimensional flat surface is referred to as the region. it's far measured in rectangular gadgets. The location occupied by using a 3-dimensional object by means of its outer floor is referred to as the surface location.

The surface vicinity of a strong object is a degree of the total vicinity that the surface of the item occupies.

The floor location is the overall location included via all of the faces of a 3-d item. As an example, if we need to discover the amount of paint required to paint a cube, then the surface on which the paint will be implemented is its floor place. it is continually measured in square gadgets.

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Answer: x= -3

Hope this helps :)

Answer:x=-9

Step-by-step explanation: Simplify both sides of the equation 3/4x = 27/4

Multiply both sides by 4/3

4/3 • 3/4x = 4/3 • -27/4

The university will need 408 computers in the computer labs next year.

The university wants to have 1 1/3 computers for every 18 students enrolled.

First, we need to convert the mixed number 1 1/3 to an improper fraction:

Next, we can set up a proportion to find the number of computers needed:

Simplifying the left side of the proportion:

Multiplying both sides by 5508:

Therefore, the university will need 408 computers in the computer labs next year.

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Answer:

remember angles on a straight ine add up to 180

Answer: 12

Step-by-step explanation: