A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third side? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m

Answer:

1. g(3) = 1

2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5

3. f(g(4)) = 2

4. g(f(4)) = 1

5. f(f(4)) = 2

6. g(g(2)) = 1

7. base on the chart, the value 3 of g(x) can be gain only for x = 0

Answer:

g(-3)=10

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to -3.

g(x)== x² + 1

x= -3

Substitute -3 in for x.

g(-3)=(-3)²+1

Evaluate the exponent first. -3² is equivalent to -3*-3, which is equal to 9.

g(-3)=9+1

Add 9 and 1

g(-3)=10

Answer:

Step-by-step explanation:

g(x)=x^2+1

at g(-3) = (-3)^2+1

=9+1=10

Answer:

6 full bags of rice.

0.4 kg of rice will be left.

Step-by-step explanation:

The man can carry a max of 160 kg.

1 bag of rice weighs 25 kg.

160/25 = 6.4

He can carry 6 full bags of rice.

Yes, there will be rice left.

0.4 kg of rice will be left.

Answer:

He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.

Step-by-step explanation:

Man can carry = 160 kg

1 bag of rice = 25 kg

He can carry = [tex]\frac{160}{25}[/tex]

=> [tex]6\frac{2}{5}[/tex]

He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.

Answer: 4

Step-by-step explanation:

6 times 2 = 12 on the bottom so on the top you do the same thing. 2 times 2 is 4.

Answer:

2/12

Step-by-step explanation:

because when u multiple 2×6=12

so when u get 12 u think of multiplying it by 2 ,

2×2=4

Answer:

-8/27

Step-by-step explanation:

Convert 2 1/4 into a improper fraction: 9/4

Rewrite the equation: -2/3 divided by 9/4

To divide fraction, multiply by the reciprocal of that fraction

Reciprocal of 9/4: 9/4

Multiply the fractions: -2/3 times 4/9

=-8/27

Answer:

-8/27

Step-by-step explanation:

-(2/3) ÷ (2 1/4 )   (convert 2 1/4 into improper fraction)

= -(2/3) ÷ (9/4)  (convert ÷ to x by taking the reciprocal of 9/4)

= -(2/3) x (4/9)

= -(2 x 4) / (3 x 9)

= -8/27

Answer:

2

Step-by-step explanation:

check the point where the x is -2

what is its y-value ?

this is 2, right?

it means that f(-2)=2

Answer:

2

Step-by-step explanation:

Answer:

-x⁴

Step-by-step explanation:

x⁵/(-x)= -x⁴

Answer:

Step-by-step explanation:

given any quadratic equation ([tex]5x^2 - 20x = -15[/tex])

the steps to follow accordingly are

Answer:

The answer is Divide all terms by 5.

Step-by-step explanation:

I got it right on my test

Answer:5 milllion

And the minimum is 25

Step-by-step explanation:

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

A pentagon has n = 5, thus

sum = 180° × 3 = 540°

Answer:

25

Step-by-step explanation:

Answer: she begin with 6.

Step-by-step explanation:

At the beggining she had A books.

She sold half of that, so now she has A/2 books.

She bought 9, so now she has A/2 + 9 books,

And we know that A/2 + 9 = 11 books

So A/2 = 11 - 9 = 3

A = 2*3 = 6

So she started with 6 books

Answer:

She began with 4 books

Step-by-step explanation:

Let the original number of Jessi Comic books be x

When She sold half of the comic books, she has ( x - x/2) = x/2 left

When she bought 9 more, she has 11 in total. That is, x/2 + 9 = 11

x/2 = 11 - 9

x/2 = 2

x = 2 * 2

x = 4

She began with 4 books

Answer:

The principal, real, root of:

²√7.937005259841 = 2.81726911

All roots:

2.81726911

−2.81726911

7.937005259841 is not a perfect square

Step-by-step explanation:

side length a = 7.937005259841 ft

face diagonal f = 11.224620483094 ft

solid diagonal d = 13.747296369986 ft

surface area S = 377.97631496846 ft2

volume V = 500 ft^3

Answer:

250.5 - 35m = 300 - 45.25m

Complete question:

Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

250.5 + 35m = 300 + 45.25m

250.5 – 35m = 300 – 45.25m

250.5m – 35 = 300m – 45.25

250.5m + 35 = 300m + 45.25

Step-by-step explanation:

For The International Business Club: y = 250.50 - 35m,  

For The Future Agricultural Leaders Club: y = 300 - 45.25m.

So the answer is 250.5 - 35m = 300 - 45.25m

250.5 – 35m = 300 – 45.25m

Explanation:
It's this one because the initial for international Business Club is $250.50 and their monthly spending is $35, and for Future Agricultural Leaders Club their initial is $300 and their monthly spending is $45.25

So, the equation would be 250.5 – 35m = 300 – 45.25m

Answer:

x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]

Step-by-step explanation:

For this equation: a=4, b=2, c=-7

4x²+2x+−7=0

Step 1: Use quadratic formula with a=4, b=2, c=-7.

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

x = −(2)±√(2)2−4(4)(−7)  ÷ 2(4)

x = −2±√116   ÷ 8

x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]

Answer: a = 12, b = 2, c = 11

Step-by-step explanation:

Using exponent rules we can distribute the exponent of 3 to the xyz.

This results in the numerator now being. [tex]x^{5*3}+y^{1*3}+z^{4*3}\\[/tex] This can be simplified to, [tex]x^{15}y^{3}z^{12}\\[/tex].

Now divide the numerator by the denominator subtracting the exponents.

Which equals, [tex]x^{12}y^{2}z^{11}[/tex]

So a = 12

b = 2

and

c = 11

The values of [tex]a, \ b,\ c[/tex] are  [tex]12,\ 2,\ 11[/tex] .

Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.

We have,

[tex]\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c[/tex]

Now simplify the above given equation;

[tex]\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c[/tex]

[tex]\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c[/tex]

Now, Using the exponent rule;

[tex]\frac{a^n}{a^m} = a^{n-m}[/tex]

So,

[tex](x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c[/tex]

[tex](x^{12}y^{2}z^{11})=x^ay^bz^c[/tex]

Now,

As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;

⇒    [tex]x^{12}=x^a[/tex]

       [tex]a=12[/tex],

And, [tex]y^2=y^b[/tex]

         [tex]b=2[/tex]

And, [tex]z^{11}=z^c[/tex]

         [tex]c=11[/tex]

So, the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] which are find out using the  exponent rule.

Hence, we can say that the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .

To know more about exponent click here

https://brainly.com/question/5497425

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The answer is 58 degrees.

Answer:

x=16

Step-by-step explanation:

37+(3x+5)=90 (because its a right angle)

3x+5=90-37=53

3x=53-5=48

x=48/3

=16

i belive its b

ANSWER

Answer:

[tex] 30\: m^2 [/tex]

Step-by-step explanation:

For triangle:

Base = (4 + 3 +1) m = 8 m

Height = 9 m

For rectangle:

Length = 3 m

width = 2 m

Area of shaded region = Area of triangle - Area of rectangle

[tex]= \frac{1}{2}\times base\times height-length \times width \\\\= \frac{1}{2} \times (4 + 3 + 1) \times 9 - 3 \times 2 \\ \\ = \frac{1}{2} \times 8 \times 9 - 6 \\ \\ = 4 \times 9 - 6 \\ = 36 - 6 \\ = 30 \: {m}^{2} [/tex]

Answer:

5 years old

Step-by-step explanation:

Kevin= k

Daniel= d

Answer:

Kevin is 6 now

Step-by-step explanation:

K= D+3

2 years ago K-2 =4 (D-2) plug in D+3 for K

D+3-2=4D-8

D+1 =4D-8 rearrange equation by subtracting D and adding 8

9 = 3D

D =3 so K =6

Answer:

Step-by-step explanation:

Identify the opposite of 2 on the number line.

✔ –2

Identify the opposite of 5 on the number line.

✔ –5

Using your results, which statement is true?

Since –2 is further

✔ right on the number line, –2 > –5

.

this is the answer

The correct state would be negative 2 is greater than negative 5.

The opposite of the numbers can be obtained changing the positive numbers to negative equivalent of the number as follows;

From the initial given expression, 2 < 5, that is 2 is less than 5.

From the opposite numbers, -2 > - 5, that is negative 2 is greater than negative 5.

Thus, the correct state would be negative 2 is greater than negative 5.

Learn more about number lines here: https://brainly.com/question/24644930

Answer:

She invested $30,000 at 9%

Step-by-step explanation:

Let the amount invested per percentage be $x and $y respectively

Total investment is 40,000

This means that;

x + y = 40,000 ••••••••••(i)

Now for her income;

9/100 * x = 9x/100

for the 12% = 12/100 * y = 12y/100

Now;

9x/100 + 12y/100 = 3,900

9x + 12y = 390000 •••••••••(ii)

we solve both simultaneously

From i, y = 40,000-x

Substitute this into ii

9x + 12(40,000-x) = 390,000

9x + 480,000-12x = 390,000

3x = 480,000-390,0000

3x = 90,000

x = 90,000/3

x = $30,000

Answer:

3x = 14

Step-by-step explanation:

5x - y = 6

-2x +y = 8

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

3x+0y = 14

3x = 14

Answer:

3x = 14

Step-by-step explanation:

5x - y = 6

-2x +y = 8

3x+0y = 14

3x = 14

Answer:

Remember that £ has a greater value compared to $ and vice versa.

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

Answer:

0.7

Step-by-step explanation:

follow the steps........

Answer:

0.7

Step-by-step explanation:

Got it right on edge