2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.

Given:

The function [tex]g(x)[/tex] doubles the square of the input and then subtracts 13.

To find:

The value of [tex]g(3)[/tex].

Solution:

Let [tex]x[/tex] be the input value.

The square of the input is [tex]x^2[/tex].

Doubles the square of the input [tex]2x^2[/tex].

Doubles the square of the input and then subtracts 13, i.e., [tex]2x^2-13[/tex].

So, the function is:

[tex]g(x)=2x^2-13[/tex]

Putting [tex]x=3[/tex] in the above function, we get

[tex]g(3)=2(3)^2-13[/tex]

[tex]g(3)=2(9)-13[/tex]

[tex]g(3)=18-13[/tex]

[tex]g(3)=5[/tex]

Therefore, the value of [tex]g(3)[/tex] is 5.

=================================================

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

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

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

1) Art

2) Sports

3) Nature

Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.

The correct names are matched with their respective properties.

A. 7. 8 + [-8] = 0

B. 9. 5 * [1/5] = 0

C. 4. a + 5b = 5b + a

D. 2. [pq] * 1 = pq

E. 6. gh - hg

F. 3. [5x] y-5 [xy]

G. 10. 2 [a + b] = 2a * 2b

I. 5. a + 0 = a

J. 8. x* 0 = 0

Additive inverse property is when the net result from addition is zero.

Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.

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r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn

Answer:

a

Step-by-step explanation:

kjddhllkfewtuikkbccjg

Answer:

carna estralia con frema es 36+12.125tt ernits es answeana

Step-by-step explanation:

Answer:

18+12.125π units²

Answer:

x/2 > 5

Step-by-step explanation:

Quotient means division

x/2

is more than means greater

x/2 > 5

Answer:

Reflexion and rotation, then translation

Answered by GAUTHMATH

Answer:

9π meters

Step-by-step explanation:

SInce 6π is the circumference of the circle, 6π would be the diameter.

We need to then convert 6π into the radius which we can do by dividing 6π by 2 to get 3π.

The formula for the area of a circle is πr^2. Plug in the previous result for the radius to get the following:

π3^2

9π

Answer:

Area=9π m²

Step-by-step explanation:

Hi there!

We are given that the circumference of a circle is 6π meters, and we want to find the area of the circle

The formula to find the circumference of a circle is 2πr, where r is the radius

The formula to find the area of a circle is πr², where r is the radius

So we need to find the radius

As 6π and 2πr both equal the circumference of the circle, 6π is equal to 2πr. This is possible by a property known as  transitivity (if a=b and b=c, then a=c) .

As an equation, the result is:

6π=2πr

Divide both sides by 2π

3=r

So the radius is 3 meters

Now, substitute 3 as the radius in πr² to find the area

A=πr²

A=π(3)²

Raise 3 to the second power, which is the same as multiplying it by itself

A=π*9

A=9π m²

Hope this helps!

Hi there!

[tex]\large\boxed{r\approx 10.6 cm}[/tex]

Solve for the radius using the pythagorean theorem:

a² + b² = c²

We know the lengths of the hypotenuse and one leg, so:

a = 12

b = ?

c = 16

Plug these into the equation:

12² + b² = 16²

Simplify:

144 + b² = 256

Subtract both sides by 144:

b² = 112

Take the square root:

b ≈ 10.6

Thus the radius is about 10.6 cm.

Answer:

C

Step-by-step explanation:

There isn’t one

-72-30+10.

-72-30=-102

10-102 is also the same as

-102+10

The final answer is -92

Answer:

-92

Step-by-step explanation:

-72 + (-30) + 10 =

-72+ -30

Since they both have the same sign, add and then take the sign

72+30 = 102  and then take the negative sign

-102

-102+10

They have opposite signs, so we subtract and take the sign of the larger

102 -10 = 92

And 102 was negative so take the negative sign

-92

7^4/7^0

= 7^4/1 (n^0 = 1)

= 7^4

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Answer:

$28.

Step-by-step explanation:

We have the system of equations

5b + 3s = 230          (b = cost of 1 ball and s = cost of 1 stick).

5b + 2s = 200

Subtract the above from the first equation:

s = 30

So, substituting in equation 1:-

5b + 3(30) = 230

5b = 230 - 3(30) = 140

b = 28.

Checking in equation 2:-

5(28) + 2(30)

= 10 + 60

= 200.

- this checks out OK.

The cost of one hockey ball will be $28.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The system of equations from the given data are:-

5b + 3s = 230          (b = cost of 1 ball and s = cost of 1 stick).

5b + 2s = 200

Subtract the above from the first equation:

s = 30

So, substituting in equation 1:-

5b + 3(30) = 230

5b = 230 - 3(30) = 140

b = 28.

Therefore, the cost of one hockey ball will be $28.

To know more about an expression follow

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#SPJ5

Answer:

= 2 R 3

= 2 3/12

= 2 1/4

Step-by-step explanation:

  0 2

1 2 2 7

 − 0  

   2 7

 − 2 4

     3

Using pythagorean theorem

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto x^2=13^2-5^2[/tex]

[tex]\\ \sf\longmapsto x^2=169-25[/tex]

[tex]\\ \sf\longmapsto x^2=144[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{144}[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Answer:

x = 12

Step-by-step explanation:

→ State Pythagoras theorem

a² + b² = c²

→ Rearrange to make b the subject

b² = c² - a²

→ Square root everything

b = √c² - a²

→ Substitute in the numbers

b = √13² - 5²

→ Simplify

b = 12

Answer:

y - 4 = -2/3 (x + 1)

Step-by-step explanation:

y2 - y1 / x2 - x1         -2 - 4 / 8 - (-1)      -6/9     = -2/3

y - 4 = -2/3 (x + 1)

Answer:

The answer is A

Step-by-step explanation:

It has to exceed not be same or equal to

Answer:

around 17 mistakes

Step-by-step explanation:

We can write a ratio to solve

54 words             300 words

------------------ = -------------------

3 mistakes             x mistakes

Using cross products

54x = 3*300

54x = 900

Divide by 54

54x/54 = 900/54

x =50/3

x = 16.66666666(repeating)

around 17 mistakes

X = mistakes in 300 words

54/3 = 300/X

54X = 3 x 300

X = 900/ 54

X = about 17 words, since 16 and 2/3 rounded to the nearest tenth is 17

Answer:

32 newspapers

Step-by-step explanation:

6.4 / 0.2 = 32

Answer:

32 papers

Step-by-step explanation:

Take the total amount and divide by .20

6.40 / .20

Multiply the top and bottom by 10

64/2

32

y = x^2 - 3x - 4

Factored Form: y = (x - 4)(x + 1)

X-Intercepts: (4,0) and (-1,0)

Axis of Symmetry: x = 1.5

Vertex: (1.5, -6.25)

Domain: All real numbers

Range: y > -6.25

Hope this helps!

Answer:

probability that 2 cards drawn from a deck of 52 cards are both kings.

is probability that first card is a king times probability that second card is a king

with replacement 4/52*4/52 =0.592%

without replacement 4/52*3/51=0.452%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7  = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

Answer:

25 feet is equal to 300 inch

Answer:

300 inches

Step-by-step explanation:

12 inches equal a foot, so just multiply 12 by 25 and BOOM, you get 300 inches :)

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.