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SOLVE FOR VOLUME

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

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The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

https://brainly.com/question/33365847

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Answer:

1176 cm3

Step-by-step explanation:

Answer:

x=-4

x=-5

Step-by-step explanation:

Answer:

-4 or -5

Step-by-step explanation:

Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer:

Step-by-step explanation:

l = 12 inches

w = 7 inches

h = 4.5 inches

Surface area = lw + 2wh + 2hl

                     = 12*7 + 2*7*4.5 + 2*4.5*12

                    = 84 + 63 + 108

                    = 255 square inches

If it is a closed box, surface area = 2*(lw +wh + hl)

As it is open, surface area = lw + 2wh + 2hl

Down part of the box : length *width

Upper part of the box = length*width

So, for closed box, 2lw

For open box , lw

824 miles

Step-by-step explanation:

412×2=824 miles

or you could do 412+412=824 miles

Hope that helps! If you need any further clarification then please comment down below or message me. Good luck!

Answer:

IDK

Step-by-step explanation:

Answer: 308

Step-by-step explanation:

sorry if wrong............

Answer:

40

Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]

Answer:

Well, if the figure is a triangle than the missing side would be 122 degrees, if it is a square, then it would be 302 degrees.

Step-by-step explanation:

Hope this helps!

Answer:

b

Step-by-step explanation:

We want to find a sine function such that:

The given options are:

Notice that the first information that we have, implies that y must be equal to 2 when x = 0.

Knowing that we can discard the third option which has a y-intercept of 4.

Now the second. Remember that for a general function:

y = A*sin(k*x) + M

Where A is the amplitude and M is the midline, the maximum and minimum are given by:

A + M

-A + M

In all the remaining options we have:

A  = ± 3

M = 2

We can see that with these we get the maximum and minimum of 5 and -1.

Finally, we know that it goes through one cycle at pi.

This means that if f(x) is the function, then:

f(x) = f(x + pi)

Also remember that for a general sine function, we have:

sin(x) = sin(x + 2*pi)

Ok, now let's analyze the options (only the sine part)

1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)

if we evaluate this in x + pi, we will get:

sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)

So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)

2) for the second option the sine part is:

sin(x + pi)

if we evaluate this in x + pi we get:

sin(x + pi + pi) = sin(x + 2*pi) = sin(x)

and we have:

sin(x +pi) ≠ sin(x)

Then this function does not go through one cycle at pi.

We can conclude that the two options that meet all the conditions are the first one and fourth one:

1) y = -3*sin(2*(x + pi)) + 2

4) y = 3*sin(2*(x + pi)) + 2

We can't say which one is correct if we do not look at the graph.

If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.

Below, you can see a graph of both functions:

The green one is y = 3*sin(2*(x + pi)) + 2,  the blue one is y = -3*sin(2*(x + pi)) + 2

If you want to learn more, you can read:

https://brainly.com/question/14068845

Answer:

Downwards

Step-by-step explanation:

Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.

Answer:

Now calculate BA:

d11= 1

d12= 0

d21= 0

d22= 1

Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE

Step-by-step explanation:

Egde

Find attached to this question, the diagram of the prism

Answer:

740m

Step-by-step explanation:

The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.

The surface area of a triangular prism is calculated as

Surface Area = bh + 2ls + lb

Where

b = base = 16m

h = height = 15m

l = length = 10m

s = side edge or length = 17m

Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +

= 740m

Answer:

740m

Step-by-step explanation:

Answer:

[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

Step-by-step explanation:

Given the information:

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

We choose C.

Hope it will find you well.

Answer:

x = 12.6

Step-by-step explanation:

When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:

[tex]\frac{a}{b} = \frac{c}{d} [/tex]

can be rewritten as:

a*d = c*b

For this case:

[tex]\frac{5}{7} = \frac{9}{x} [/tex]

5*x = 7*9

x = 63/5

x = 12.6

Answer:

a)

[tex]x=-1\\x=-\frac{3}{4}[/tex]

b)

[tex]x=\frac{11}{6}[/tex]

Step-by-step explanation:

[tex]Formula: x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]

[tex]a)-4x^2+7x-3=0[/tex]

a= -4

b= 7

c= -3

[tex]x=\frac{-(7)\frac{+}{}\sqrt{(7)^2-4(-4)(-3)} }{2(-4)}[/tex]

[tex]x=\frac{-7\frac{+}{}\sqrt{49-48} }{-8}[/tex]

[tex]x=\frac{-7\frac{+}{}\sqrt{1} }{-8}[/tex]

[tex]x=\frac{7\frac{+}{}1 }{-8}[/tex]

------------------------------

[tex]x=\frac{7+1 }{-8}=\frac{8}{-8}=-1[/tex]

or

[tex]x=\frac{7-1 }{-8}=\frac{6}{-8}=-\frac{3}{4}[/tex]

------------------------------

[tex]b)36x^2-132x+121=0[/tex]

a= 36

b= -132

c= 121

[tex]x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-132)\frac{+}{}\sqrt{(-132)^2-4(36)(121)} }{2(36)}[/tex]

[tex]x=\frac{132\frac{+}{}\sqrt{17424-17424} }{72}[/tex]

[tex]x=\frac{132\frac{+}{}\sqrt{0} }{72}[/tex]

[tex]x=\frac{132\frac{+}{}0 }{72}[/tex]

------------------------------------------------

[tex]x=\frac{132}{72}[/tex]

[tex]x=\frac{132/6}{72/6}=\frac{22}{12}=\frac{11}{6}[/tex]

Answer:

Step-by-step explanation:

Area of the figure = Area of semicircle + area of rectangle

Area of semicircle:

d = 14 mm

r = 14/2 = 7 mm

Area = (1/2)πr²

[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]

=11 *7

= 77 mm²

Area of rectangle:

length = 14 mm

Width = 10 mm

Area = length *width

       = 14 * 10

       = 140 mm²

Area of the figure = 77 + 140 = 217 mm²

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

the mean is 11, meaning the answer choice is B right?

Answer:

11

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

Answer:

5

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)

So,

23 + 18 + 24 + 15 + 25 = 105

Then,

105/5 = 21

Answer:

A) 200,000*0.75%=1500*100=150,000

B) 150,000 will be the birds population in 100 years

Answer:

Interval for the function has local minimum of 0 is [2,4].

Step-by-step explanation:

You need to find the local minimum of 0 in the given function's graph.

In mathematics, local minimum is a point on a graph whose value is less than all other points near it.

See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4

So, final answer is :

Interval for the function has local minimum of 0 is [2,4].That's the final answer.

hope it helps

Answer: D

Step-by-step explanation:

2,4