The graph of g(x) resembles the graph of f(x=x)^2, but it has been changed. Which of these is the equation of g(x)?

Answer:

25pi-24 cm²

Step-by-step explanation:

pi(5)²-2(1/2)*6*4

25pi-24 cm²

The area of the shaded region is (25π - 24) sq.cm.

"[tex]A = \pi \times r^2[/tex], where 'r' is the radius of the circle."

"[tex]A=\frac{1}{2}\times b\times h[/tex], where b is the base and h is the height."

For given question,

area of the shaded region = area of circle - area of 2 isosceles triangles

First we find the area of the circle:

Here, radius r = 5 cm

So, the area of the circle would be,

[tex]A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2[/tex]

Now, for isosceles triangle,

base b = 6 cm

And height h = 5 - 1

                   h = 4 cm

Using the formula for area of the triangle,

[tex]A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2[/tex]

So, the area of the shaded region would be,

the area of the shaded region

[tex]= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.[/tex]

Therefore, the area of the shaded region is (25π - 24) sq.cm.

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Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

Answer:

15 g

Step-by-step explanation:

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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Answer:

102

Step-by-step explanation:

We can find x by using the fact that the angles in a triangle add up to 180.

73+42+x=180

x = 65

We can find y by using the fact that angles on a straight line add up to 180.

131+y=180

y=49

We can find the third angle in that triangle.

65+49+n=180

Let n represent the third angle in the triangle.

n=66

Then z + n = 180

z + 66 =180

z= 144

Let the angle in the bottom left be i

z+i = 180

144 + i = 180

i = 36

Let's find l.

The angles in a triangle add up to 180.

36 + 49 + l =180

l = 95

y is a vertical angle.

95+ y + u = 180

95+49+u=180

u=36

180-36=144

then the right triangle (with angle of 42) has a corner of 36.

36+42+t = 180

t= 102

102 + f = 180

f = 78

f + w = 180

78 + w = 180

w = 102

Answer:

c

Step-by-step explanation:

Using the sine ratio in the right triangle

sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus

∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c

Answer:

The old tower has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

Answer:

the measure of x is 64°.

Step-by-step explanation:

here,

angle I=60° (being corresponding angle)

now, angle A+angle I +angle B = 180°(sum of interior angle of a triangle is 180°)

or, x+56°+60°=180°

or, x= 180°-116°

therefore the measure of x is 64°.

hope it will help uh..

Answer:

I would say about 85º

Step-by-step explanation:

If we make a logical guess/hypothesis, 85º is a slightly tilted right angle.

I'm sorry if my hypothesis is wrong :(

Answer:

Step-by-step explanation:

it is table 4, because it y has constant change for every input of x

which is 2

-4/-2=-8/-4=-16/-8=2

Answer:

4

Step-by-step explanation:

Answer:

(x-1)/x

Step-by-step explanation:

its not having any term .

Answer:

(x - 1)/x

Step-by-step explanation:

A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.

All are polynomials except for (x - 1)/x where there is division by a variable.

Answer:

[tex]Fraction = \frac{2}{15}[/tex]

Step-by-step explanation:

Given

Wall = 30 inches

Concrete = 16 inches

Brick = 10 inches

Limestone = 4 inches

Required

Fraction of the wall that is limestone

The fraction of limestone is calculated as follows;

[tex]Fraction = \frac{Size\ of\ limestone}{Size\ of\ wall}[/tex]

Substitute 4 for size of limestone and 30 for size of size of wall

The formula becomes

[tex]Fraction = \frac{4}{30}[/tex]

Divide numerator and denominator by 2

[tex]Fraction = \frac{4/2}{30/2}[/tex]

[tex]Fraction = \frac{2}{15}[/tex]

The fraction can not be further simplified; hence, the fraction of limestone is [tex]\frac{2}{15}[/tex]

Answer:

2/15

Step-by-step explanation:

Fractions can be found by dividing the part by the whole.

part/whole

In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.

limestone/total

16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.

limestone = 4

total = 30

4/30

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.

(4/2) / (30/2)

2/ (30/2)

2/15

This fraction cannot be simplified further, therefore it is our answer.

2/15 of the wall is limestone.

Answer:

No solutions.

Step-by-step explanation:

x minus 3y = 4

x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3

-2x + 6y = 3

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Hope this helps!

The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given system of equation;

x minus 3y = 4 means x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3 means -2x + 6y = 3

Solving;

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

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Answer:

x^2 - 2x - 4 = 0.

Step-by-step explanation:

Written in factor form we have:

(x - ( 1 + √5)( x - (1 - √5)) = 0

(x - 1 -√5)( x - 1 +√5)) = 0        Expanding:

x^2 - x +√5x  - x + 1 - √5 - √5x + √5 - 5 = 0

x^2 - 2x - 4 = 0.

Answer: D!!!!!!!

Step-by-step explanation:

Answer:

5 pages per hour

Step-by-step explanation:

Here, we need the constant of proportionality in pages per hour.

This is just like having 2 sets of point of a graph and asked to find the slope

Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.

So let’s proceed to say we have points ;

(4,20) and (5,25)

So the constant of proportionality would be;

(25-20)/(5-4) = 5/1 = 5 pages per hour

Answer:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

Answer:

The angles of this would be x=30

Step-by-step explanation:

If they are proportional to 1:2:3, then we can do 2 things.

They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.

Second, the angles of an triangle equal 180.

Adding 1 + 2 =

1x + 2x + 3x = 180

6x = 180

x = 30

Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.

Answer:

Step-by-step explanation:

Represent the larger and the smaller numbers by y and x.  Then:

y = 10(x - 1) and x = (y/2) - 3

Smaller number is 3 less than half a larger number is x=y/2-3 and  larger number is 10 times 1 less than the smaller number is y=10(x-1)

Two or more expressions with an Equal sign is called as Equation.

Given that x  represent the smaller number

Let y represent the larger number.

A smaller number is 3 less than half a larger number.

Half a larger number means 1/2 of y which is y/2.

3 less than half a larger number means y/2-3.

So smaller number is 3 less than half a larger number is x=y/2-3.

The larger number is 10 times 1 less than the smaller number.

The times in the sentence means product or multiplication.

So it can be represented by the equation as shown

y=10(x-1)

Hence, smaller number is 3 less than half a larger number is x=y/2-3 and  larger number is 10 times 1 less than the smaller number is y=10(x-1).

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Answer:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Step-by-step explanation:

For this case if we want to find a model for the population number after some time t we can use the following general model:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Answer:

49 different ways

Step-by-step explanation:

If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.

Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.

So, if you have seven ways go to up and seven ways to go down, the number of different ways of going to the top and come back is the product these numbers of possible choices.

N(total) = N(up) * N(down)

N(total) = 7 * 7

N(total) = 49 different ways

Answer:

v = 42

omg i hope this helps!!

Answer: 14

Step-by-step explanation:

P(6)- Q(2) = 4

Q(5) - R(2) = 3

R(6) - S(2) = 4

S(5) - P(2) = 3

4 + 3 + 4 + 3 = 14

Brainliest is appericiated!

Answer:

Perimeter = 14

Step-by-step explanation:

to find the perimeter first find the distance between the two points :

d=√((x2-x1)²+(y2-y1)²)

PQ:(2,2)(6,2)

d=√(6-2)^2+(2-2)^2

= √16=4

PQ=4

RS: (6,5),(2,5)

d=√(6-2)^2+(5-5)^2

d=4

RS=4

QR:(6,2),(6,5)

QR=3

SP(2,5),(2,2)

SP=3

perimeter=2length+2width

P=2l+2w

p=2(4)+2(3)

p=8+6=14

Answer: Only C

Step-by-step explanation:

Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out.  Thus, it can be any value.

Answer:

The answer is below

Step-by-step explanation:

The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.

Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:

[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]

A)  3 females and 2​ males

The possible ways of choosing 3 females and 2​ males is given as:

[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]

probability of selecting 3 females and 2​ males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]

B)  4 females and 1​ males

The possible ways of choosing 4 females and 1 males is given as:

[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]

probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]

C)  5 females

The possible ways of choosing 5 females  is given as:

[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]

probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]

​(D) At least 4​ females

This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)

The possible ways of choosing atleast 4 females  is given as:

[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]

probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]

Answer: 32

Step-by-step explanation:

Let x + y = 5

x = 5 - y....................(1)

10x + y -9 = 10y + x..... . (2)

Substituting (1) in (2)

10(5-y) + y - 9 = 10y + (5-y)

50-10y + y - 9 = 10y + 5 - y

41 - 9y = 9y + 5

-9y - 9y = 5-41

-18y = - 36

y = 36/2 = 2

So, x = 5-2 = 3

Answer:

NO, it can have only 189 possible diagonals

Step-by-step explanation:

No. of diagonals in a polygon is given by n(n-3)/2

where n is the number of sides in the polygon.

Given

polygon has 21 sides

thus, no. of diagonals for 21 sided polygon is = 21(21-3)/2 = 21*18/2 = 189

while in the problem it is asking if it has 432 possible diagonals

which is wrong.

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]

Plug in the numbers:

[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]

[tex]d=\sqrt{6^2+(-6)^2}[/tex]

[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]

Answer:  x = 20

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c²  where c is the hypotenuse

Given: a = 21, b = x, c = 29

21² + x² = 29²

441 + x² = 841

        x² = 400

    √x² = √400

      x = 20

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

Answer:

2 months

Step-by-step explanation:

$80 x 0.5 = $40

$80 + $40 = $120

$120 * 0.25 = $30

1st month - $120-$30 = $90

2nd month - $90-$22.5 = $67.5

Answer:

AFTER 2 MONTHS

Step-by-step explanation:

Answer: The answer would be the second one.

Step-by-step explanation:

It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.