The graph of the function f(x) = (x-4)(x + 1) is shown
below.
-6
42
6
4
2-
&
-4
Гу
6
2 A
6
X
Which statement about the function is true?
The function is increasing for all real values of x
where
x < 0.
The function is increasing for all real values of x
where
x<-1 and where x > 4.
The function is decreasing for all real values of x
where
-1 The function is decreasing for all real values of x
where
x < 1.5.m

a. The circumference of the yellow circle is 43.96 ft.

b. The circumference of the purple circle is 28.26 ft.

A circle is a figure that is bounded by a curved path called circumference. Thus a circumference if the boundary of a given circle. It can be determined by;

circumference of a circle = 2πr

where r is the radius of the circle.

In the diagram given in the question, we have;

a. diameter of the purple circle = 9 ft, so that;

r = d/2

 = 9/2 = 4.5 ft

Circumference of the purple circle = 2πr

                         = 2*3.14*4.5

                         = 28.26

Circumference of the purple circle is 28.26 ft.

b. diameter of the yellow circle = 2.5 + 9 + 2.5

                                                    = 14

So that;

r = d/2

 = 14/2 = 7 ft

Circumference of the yellow circle = 2πr

                            = 2*3.14*7

                            = 43.96

The circumference of the yellow circle is 43.96 ft.

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Answer:

celsius is 100 Fahrenheit is 42 kelvin is 30045

The length of the shadow when the sun altitude is 60 degrees is 8.7 feet.

The clock tower is 15 feet tall. The length of the shadow when the sun is at an altitude of 60 degrees can be calculated as follows:

This situation forms a right angle triangle.

Hence, using trigonometric ratios,

tan 60 = opposite / adjacent

where

opposite side = 15 feet

adjacent side = x

tan 60 = 15 / x

cross multiply

x tan 60° = 15

divide both sides by tan 60

x = 15 / tan 60

x = 15 / 1.73205080757

x = 8.65800865801

x = 8.7 feet

Therefore,

length of shadow = 8.7 feet.

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In the problem, the information is not enough to find whether the problem is proportional or not.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given a phrase, a wood deck is quoted at a bulk cost for 25 square ft.

to find the problem proportional or not,

for proportional there must be at least four quantities, whose ratios are to be compared and if their ratios are equal they are said to be in proportion.

for example,

When two ratios are equal, they are said to be in proportion. For instance, the time it takes a train to travel 50 kilometres per hour is equal to the time it needs to travel 250 kilometres in 5 hours. e.g., 250km/5 hours = 50 km/h.

Hence for the given question, the information is not enough.

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If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

Using the unitary approach, an issue can be resolved by first figuring out the value of a single unit, then multiplying that value by the number of units needed to solve the problem. The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.

given

For his 10-gallon punch, Matt uses gallons of orange juice, which adds up to 3x=3*2 = 6.

Using the formula Jan uses gallons of orange juice to create 10 gallons of punch and Matt uses gallons of orange juice to make 10 gallons of punch, we can calculate that Jan uses 2 gallons more orange juice than Matt.

If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

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Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

4 (7 + 6)

4 x 13

1/5/2023

7:41PM

Answer: 4*(7+6), 4*7+4*6.

Step-by-step explanation:

The GCF, or greatest common factor, of 28 and 24, is 4.

So, what you would do is 4*(28/4+24/4)

You would get, 4*(7+6), 4*7+4*6.

The sum of the measures of angles D and E is (3x + 25)° greater than the measure of angle F. which is the correct answer would be an option (C).

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

The given Triangle DEF which has

∠D = 3(x+10)°

∠E = (2x+15)°

∠F = 2(x+10)°

The sum of the measures of angles D and E :

3(x+10)° + (2x+15)°

3x + 30 + 2x + 15

5x + 45

Difference between the sum of the measures of angles D and E and the measure of angle F :

5x + 45 - 2(x+10)

5x + 45 - 2x - 20

3x + 25

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The ratio of free throws made to attempts in fractional form for both players are 1:1.2 and 1:1.1 respectively, the two ratios are not proportional

Ratio can be defined as the proportion of a number which can also be written as a fraction. On the other hand ratios show how many times a number is contained in another number.

The given  numbers are

The ratios are

Michael = 7327:8772  = 1:1.2

Larry  - 3960:4471  = 1:1.1

To know if they are proportional

1/1.2 ≠1/1.1

In conclusion, from the calculations, the two ratios are not  proportional

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Answer:

2x-3y>-9

Step-by-step explanation:

Standard Form = Ax+By=C

2x-3y>-9 is already in standard form.

Hope this helps :)

The expression of the probability that the flight did not arrive on time at El Centro is as follows:

Probability is the chance or likelihood that an expected outcome occurs or does not occur.

Probability describes an occurrence's relative value (ratio) over many possible events.

When the likelihood is 100% certain or uncertain, the probability is 1 or 0, respectively.  Otherwise, probability as a fractional value lies between zero and one.

Air Travel

Airport:                              El Centro (CA)    Baltimore (MD)

Arrivals (Percent on-time)    80%                    82%

Did not arrive on time:

Percentage =                       20% (100 - 80)    18% (100 - 82)

Fraction =                             1/5 (20/100)        9/50 (18/100)

Decimal =                             0.2 (20/100)        0.18 (18/100)

Thus, the probability that the El Centro flight did not arrive on time is 20%, 1/5, or 0.2.

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First, calculate the surface area of the inside of the tank by multiplying the length, width, and height: 3 m * 2 m * 1.5 m = 9 m^2.

Then, calculate the surface area of the outside of the tank by adding the surface area of all 6 sides: 2 * (3 m * 1.5 m + 2 m * 1.5 m + 3 m * 2 m) = 24 m^2.

Finally, add the surface area of the inside and outside to get the total surface area: 9 m^2 + 24 m^2 = 33 m^2.

To find the amount of paint required, divide the total surface area by the coverage per kg of paint: 33 m^2 / 20 m^2/kg = 1.65 kg.

The solution for the given quadratic equation is  x = -11 or x = -1.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

x² + 12x + 11 = 0.

The graph of the equation is, plotted below.

From the graph,

The solutions are x = -1 and x = -11

The second approach to find the solution for the given quadratic equation is factorization method,

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x(x + 11) + 1(x + 11) = 0

(x + 11) (x + 1) = 0

x = -11 or x = -1

So the required solution is x = -11 or x = -1.

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Answer:

A) : 10% = 48

Final result: 432

Step-by-step explanation:

10 * 480 / 100

= 4800 / 100

= 48

480 - 48 = 432 (final result)

Answer:

B) : 54

Final result: 306

Step-by-step explanation:

15 * 360 / 100

= 5400 / 100

= 54

360 - 54 = 306 (final result)

I hope this helps!

*To find the percent, use this formula: part percent * whole number / 100

Answer:

No, because (6,4) is on the line.

Step-by-step explanation:

Inequality given is y > -1/2x + 7

Point given is (6, 4)

Substitute the x coordinate and y coordinate into the equation

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

(Statement is False, hence inequality does noit hold)

First part of the answer is No

Since both the left and right side of the inequality is the same at 4, the point (6,4) lies on the line.

Hence, second part is because (6, 4) is on the line.

Answer:

23

Step-by-step explanation:

Answer:

m∠A = 70°

Step-by-step explanation:

The dashes on line segments AB and AC mean that they are equal in length.  Therefore, the triangle is an isosceles triangle.  This means that the two base angles, ∠B and ∠C are congruent.

Interior angles of a triangle sum to 180°.  Therefore:

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠A + 55° + 55° = 180°

⇒ m∠A + 110° = 180°

⇒ m∠A + 110° - 110° = 180° - 110°

⇒ m∠A = 70°

Answer:

[tex]2y^3+3y^2+1[/tex]

Step-by-step explanation:

Given expression:

[tex](6y^3+y^2)+(-4y^3+2y^2+1)[/tex]

Remove the parentheses:

[tex]6y^3+y^2-4y^3+2y^2+1[/tex]

Collect like terms:

[tex]6y^3-4y^3+y^2+2y^2+1[/tex]

Combine like terms:

[tex]2y^3+3y^2+1[/tex]

Answer:

5 is the *estimate*

Answer:

they are 8 seahorse.becauce even seahorse are fish

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

The parent function is given below.

f(x) = x³

The function is stretched by 5 units and gets reflected over the y-axis. Then the function is given as,

f(x) = (-5x)³

The function is shifted by 4 units downward then subtract 4 from the function. Then the function is given as,

f(x) = x³ - 4

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

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The volume of the cylinder is 602.9 cm³

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We need to find the volume of the cylinder whose height is 3 cm and diameter is 16 cm.

Radius =16/2=8 cm.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

As per the given figure,

The radius of a cylinder is 8 cm and the height of the cylinder is 3 cm.

V = 3.14×8²×3

=3.14×64×3

=602.88=602.9 cm³

Hence, the volume of the cylinder is 602.9 cm³

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The simplification of the expression -5.2t+8.2-7.8t is 8.2-13t

Simplification of expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

For example, 2x+5y-8x + y can be simplified by collecting like terms. The variables here are x and y

therefore 2x-8x+5y+y = 6y - 6x = 6( y-x)

Similarly, simplifying -5.2t+8.2-7.8t, we collect the term of t' together.

-5.2t-7.8t+8.2= -13t+8.2

= 8.2-13t

therefore the simplification of -5.2t+8.2-7.8t is 8.2-13t

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Answer:3 hours 20 mins

Answer:

3 hours 20 minutes is the length of the movie.

Answer:

700 the answer is 700.

Step-by-step explanation:

the answer is 700

The length of the sides are given by the 45°–45°–90° triangle theorem.

Correct responses:

AB = 1

AC = 1

BC = √2

The 45°–45°–90° triangle theorem is one that states that the ratio of the lengths of the sides of triangles having interior angles of 45°, 45°, 90° is expressed as 1 : 1 : √2

We know that the lengths of the legs of an isosceles triangle are equal. Now, the legs of the given isosceles right triangle in the attached file are AB and AC.

Thus, we can say that, AB = AC

If the length of AB s 1 unit, then we have;

AB = AC = 1

Using Pythagoras theorem, we have;

BC² = AB² + AC²

Which gives; BC = √2

Therefore, by plugging in the length of AB = AC = 1, we have;

AB = 1

AC = 1

BC = √2 ≈ 1.414

The above values are in the ratio 1 : 1 : √2, which now corresponds with the 45°-45°-90° triangle theorem.

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Answer:

I guess it's 58° fr apparently

Answer:

Hope is the thing with feathers

Step-by-step explanation:

this is because this phrase expresses how hope moves through someone

Answer:The answer is 1 1/3 pounds of chicken.

Step-by-step explanation:

For a single serving of the recipe, you would need half the amount of chicken that is required for a serving size of 2, which is 2 2/3 / 2 = 1 1/3 pounds of chicken.