f(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?
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Answer:

See explanation below

Step-by-step explanation:

The width is 4 inches

So, the area of the base is 20 inches squared

The height is 4 inches

So, the volume of the prism is 80 inches cubed

Answer:

is this like BxH or is there a specific equation

Step-by-step explanation:

Answer:

From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.

Answer:

Step-by-step explanation:

g(x) =  -|x-3| +4

If angle BOC in circle is 68° then the measure of angle BAC is 34°.

Given that angle BOC in the circle is 68°.

We have to find the angle BAC.

We have that m∠BOC=arc BC ------by central angle.

we have m∠BOC=68°.

therefore arc BC=68°.

We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1

In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.

We have that arc BC=68°

substitute arc BC in equation 1 to get the measurement of ∠BAC.

m∠BAC=[tex]68/2[/tex]

=34°

Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.

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Answer:

B. 12^3 - 12^2 - 11

Step-by-step explanation:

........

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n). Sequence: {10, 15, 20, 25, 30, 35, ...}.

Step-by-step explanation:

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. ... This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

Step-by-step explanation:

Answer:

Step-by-step explanation:

<SRQ = 270 degrees

<RPQ is just 31 degrees short of that amount.

<RPQ = <SRQ - 31

<RPQ = 270 - 31

<RPQ = 239

Answer:

B. 35

Step-by-step explanation:

The order in which the flowers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 flowers from a set of 7. So

[tex]C_{n,x} = \frac{7!}{4!(7-4)!} = 35[/tex]

The correct answer is given by option B.

Answer:

482.5 ft^2.

Step-by-step explanation:

The figure can be regarded as a rectangle with a triangle cut out of one corner.

The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.

The required area = area of rectangle - area of triangle

= 25*20 - 1/2 * 5 * 7

= 500 - 17.5

= 482.5 ft^2

9514 1404 393

Answer:

  482.5 square inches

Step-by-step explanation:

The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.

  A = LW - 1/2bh

  = (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²

The area of the figure is 482.5 square inches.

Answer:

blank area = 1.5π units²

Step-by-step explanation:

area of full circle = πr² = π6² = 36π units²

blank area = (15/360)(36π) = 1.5π units²

The area blank in a circular mosaic pattern is 4.71 square units.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The diagram shows the circle with a central angle cutout.

The central angle, θ = 15°

Radius of the circle, r = 6 units

The formula of area blank in circle is

[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]

⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex]                [∵ π = 3.14 ]

⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]

⇒ [tex]Area_{blank} = 4.71[/tex]

Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.

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Answer:

[tex]56666\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:56,666.666

Step-by-step explanation:

Respuesta

Answer:

y = (5/4)x+1

Step-by-step explanation:

[tex]\frac{y+4}{x+4} =\frac{-4-6}{-4-4}[/tex]

[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]

Answer:

p =favorable outcome/possible outcome

p(not 3)=3/4

Answer:

It's (B), using L'Hopital's Rule.

Answer:

a = –2, b = 4, c = – 3

Step-by-step explanation:

We are given the following quadratic equation in the question:

-2x^2 + 4x - 3 = 0−2x

2

+4x−3=0

General form of quadratic equation:

ax^2 + bx + c = 0ax

2

+bx+c=0

Comparing the given equation to general quadratic equation, we get,

a = -2, b = 4, c = -3a=−2,b=4,c=−3

Thus, the correct answer is

Option D) a = –2, b = 4, c = – 3

The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.

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

Comparing the given equation with the standard equation,

We get, a = -2, b = 4, c = -3

Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

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Answer:

B

Step-by-step explanation:

if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero

   y = mx + b      m the slope equals 1

   y = x +2

Answer:

The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.

Answer:

See below

Step-by-step explanation:

2x = 10

Divide by 2.

x = 5

x has to equal 5 to make the first statement true.

Proof:

2x = 10

2(5) = 10

10 = 10

-3x = 21

Divide by -3.

x = -7

x has to equal -7 to make the second statement true.

Proof:

-3x = 21

-3(-7) = 21

21 = 21

1/3(x) = 6

Multiply by 3 to cancel the fraction.

x = 18

x has to equal 18 to make the third statement true.

Proof:

1/3(x) = 6

1/3(18) = 6

6 = 6

-1/2(x) = -7

Multiply by -2 to cancel the fraction.

x = 14

x has to equal 14 to make the fourth statement true.

Proof:

-1/2(x) = -7

-1/2(14) = -7

-7 = -7

Answer:

Step-by-step explanation:

The questions are asking you whether the calculation of each needs to be exact or an estimate. An estimate is used when the final value needs to be close to what is needed but is ok if it surpasses the needed value. Exact values are used when the final value needs to be exact and cannot be over or under the needed value or it will cause errors. Therefore, the answers are the following...

1. exact

2. estimate

3. exact

4. estimate

5. exact

6. exact

Answer:

540 in³

Step-by-step explanation:

v = lwh

v = 18 * 10 * 3

c = 540 in³

Answer:

v= length x width x height so 10x18x3= 540in cubed

Step-by-step explanation:

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that [tex]A(0) = 109[/tex]

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that [tex]r = 0.03[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 109(1-0.03)^t[/tex]

[tex]A(t) = 109(0.97)^t[/tex]

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

[tex]A(4) = 109(0.97)^4 = 96.49[/tex]

Rounding to the nearest whole number, 96 people.

Answer:

[tex]\frac{1}{x^21y^12}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Required expression = (g+h) - 11

Answer:

p

Step-by-step explanation: