If f(x)=x^2 +5 and g(x)=5x+4, what is the [fg](6)

Answer:

A: 20 km/hr B: 10 km/hr

Step-by-step explanation:

Answer:

41.1

Step-by-step explanation:

The number will be cut off after the digit you are rounding off to.

Rewrite the number, but stop at the 0.

41.0

Now you need to decide if the 0 stays as 0 or if it goes up to 1.

When the next digit is from 5 to 9, the last digit you keep goes up 1. When the next digit is 0 through 4, the last digit you keep stays as it was.

Since the first digit that was dropped is a 7, the 0 goes up one unit to 1.

Answer: 41.1

Answer:

41.1

Step-by-step explanation:

If we are rounding at the 0, we have to look at the next digit, which is 7.  

Since 7>=5, we will round up.  Zero becomes a 1

41.073  becomes 41.1

Answer:

$110

Step-by-step explanation:

A = P(1 + r/n)ⁿ⁺

A = 100(1 + .02/1)¹⁽⁵⁾

A =  100(1.10)

A = $110

Using the simple interest formula, you can calculate that after 5 years at an annual interest rate of 2%, an initial deposit of $100 in a savings account would grow to $110.

The subject of this question is simple interest, which is important in Mathematics. To calculate how much money would be in your account after 5 years with an interest rate of 2% per annum, you would utilize the simple interest formula:

Interest = Principal x Rate x Time (I = PRT)

The principal (P) is the initial amount of money, which is $100. The rate (R) is the interest rate per period. The time (T) represents the number of periods.

In our case: The principal is $100, the rate is 2% (or 0.02 in decimal form), and the time is 5 years. Substituting these values into the formula gives. Interest = $100 x 0.02 x 5 = $10. After 5 years, you are entitled to $10 interest. This means the total amount in your account will be your initial principal plus the earned interest: $100 + $10 = $110.

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Answer:

Part A) [tex]5\ in=15\ ft[/tex]

Part B) [tex]7\ in=21\ ft[/tex]

Step-by-step explanation:

we know that

The scale factor is [tex]\frac{1}{3}\frac{in}{ft}[/tex]

so

using proportion

Part A)

[tex]\frac{1}{3}\frac{in}{ft}=\frac{5}{x}\frac{in}{ft}\\ \\x=5*3\\ \\x=15\ ft[/tex]

therefore

[tex]5\ in=15\ ft[/tex]

Part B)

[tex]\frac{1}{3}\frac{in}{ft}=\frac{7}{x}\frac{in}{ft}\\ \\x=7*3\\ \\x=21\ ft[/tex]

therefore

[tex]7\ in=21\ ft[/tex]

Answer:

2x + 3y = 6

Step-by-step explanation:

obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

here m = - [tex]\frac{2}{3}[/tex] and c = 2

y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope-intercept form

multiply all terms by 3 to eliminate the fraction

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← in standard form

Answer:

2x- 3y = - 6

Step-by-step explanation:

given [tex]\frac{1}{2}[/tex] y - [tex]\frac{1}{3}[/tex] x - 1 = 0

multiply all terms by 6 to eliminate the fractions

3y - 2x - 6 = 0 ( multiply all terms by - 1 )

- 3y + 2x + 6 = 0 ( subtract 6 from both sides )

2x - 3y = - 6 ← in standard form

Answer:

748 trees  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

b + 2c + 3jb + 2c + 3j =

88 + 2(33) + 3(44)(88) + 2(33) + 3(44) =

88 + 66 + 396 + 66 + 132 = 748 trees

After Ben spends 88 hours chopping, Cam spends 33 hours chopping, and Justin spends 44 hours chopping, they chop down a total of 286 trees.

To find the total number of trees chopped down, we'll use the given formula: ( b + 2c + 3j ), where ( b ) is the number of hours Ben spends chopping, ( c ) is the number of hours Cam spends chopping, and ( j ) is the number of hours Justin spends chopping.

Given that Ben spends 88 hours chopping ( b = 88 ), Cam spends 33 hours chopping ( c = 33 ), and Justin spends 44 hours chopping ( j = 44), we can substitute these values into the formula.

Plugging in the values:

[tex]\[ \text{Total trees} = 88 + 2(33) + 3(44) \][/tex]

Now, we calculate each term:

[tex]\[ 2(33) = 66 \][/tex]

[tex]\[ 3(44) = 132 \][/tex]

Then, we add up all the terms:

[tex]\[ \text{Total trees} = 88 + 66 + 132 \][/tex]

[tex]\[ \text{Total trees} = 286 \][/tex]

So, after Ben spends 88 hours chopping, Cam spends 33 hours chopping, and Justin spends 44 hours chopping, they chop down a total of 286 trees.

Answer:

v=2-2root7, v=2+2root7  

Step-by-step explanation:

-2v+8(1+2v)=-90

-2-4v^2+8+16v=-90

6-4v^2+16v=-90

-4v^2+16v=-96

v=2-2root7, v=2+2root7

Answer

-2v+8 (1+2v)=-90 then V = -7

Step-by-step explanation:

-2v + 8 x (1 + 2v) = -90

-2v + 8 + 16v = -90

14v + 8 = -90

14v = -98  

V = -98/14

V= -7

Hope this helps ;)

Answer:

BD= 56units

Step-by-step explanation:

  Since, Diagnols of a parallelogram  bisect each other.

Therefore in parallelogram ABCD where AC and BD are the diagnols wich intersect at Point E, we have, BE=DE

Therefore, x^2-21=4x

x^2-21-4x=0

x^2-4x-21=0

x^2-7x-3x-21=0      [middle term splitting]

x(x-7)+3(x-7)=0

(x+3)(x-7)=0

Hence, x= -3 and x= 7

Since x cannot be negative because no side can have negative values

Therefore, we have x=7

Now, BD= BE+DE      [Since E is the intersecting point of BD]

            = 4x+x^2-21

            = 4(7)+7^2-21

            =28+49-21= 56 units

2x + 5y = 34

x+2y = 14

Multiply the second equation by two to create like terms for one variable.

2(x+2y = 14)

2x + 4y = 28

2x + 5y = 34

2x + 4y = 28 -- Subtract.

y = 34.28 = 6

Solve for x

x + 2(6) = 14

x + 12 = 14

x = 2

Check:

2 + 2(6) = 14

2 + 12 = 14

14 = 14

Answer:

X = 2

Y = 6

Answer:24%

Step-by-step explanation:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100\%=50.

Step 4: In the same vein, x\%=12.

Step 5: This gives us a pair of simple equations:

hope this helps

Considering it's concept, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

In this problem, the function is given by:

y = 2x + 3.

The y-intercept is given by:

y = 2(0) + 3 = 3.

Hence, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

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The formula of a Surface Area of a cylinder:

[tex]S.A.=2\pi r^2+2\pi rH[/tex]

r - radius

H - heihgt

We have r = 3mm and H = 16mm. Substitute:

[tex]S.A.=2\pi(3)^2+2\pi(3)(16)=2\pi(9)+2\pi(48)=18\pi+96\pi=114\pi\ mm^2\\\\\pi\approx3.14\to S.A.\approx114\cdot3.14=357.96\ mm^2[/tex]

Answer: 7 hours 12 minutes

Step-by-step explanation:

Let he needs x hours to make 1 kg of meat.

Therefore, time taken in making 5 kg of meat = 5 × x = 5x hours.

But, According to the question,

He needs 12 hour to cook 5 kg of meat.

Thus, 5 x = 12

⇒ [tex]x = \frac{12}{5}[/tex] ( By dividing both sides by 5 )

⇒ He needs [tex] \frac{12}{5}[/tex] hours to make 1 kg of meat.

⇒ The time taken to cook 3 kg of meat = [tex]3\times \frac{12}{5}=\frac{36}{5} [/tex]

= [tex]7\frac{1}{5}[/tex]  hours ⇒ 7 hours 12 minutes

Hence, He needs 7 hours 12 minutes time to cook 3 kg of meat.

After calculating, we determined that Myron needs 54 minutes to cook 3 kilograms of meat.

This problem can be solved by setting up a proportion since it involves a direct ratio between the weight of meat and the cooking time.

The given ratio is 1 1⁄2 hours for 5 kilograms of meat (1:5 ratio). To find the time needed for 3 kilograms of meat, use the proportion:

    5 kg      :-      1 1⁄2 hours
    3 kg      :-       x hours

Solving for x yields the following:

    5 kg  /  3 kg  =  1 1⁄2 hours  /  x hours
             x  =  (1 1⁄2 hours × 3 kg)  /  5 kg

Converting 1 1⁄2 hours to minutes (90 minutes) and then performing the multiplication and division:

             x  =  (90 minutes × 3)  /  5
             x  =  270 minutes  /  5
             x  =  54 minutes

Thus, Myron needs to cook 3 kilograms of meat for 54 minutes.

Answer:

x² - 2x - 3

Step-by-step explanation:

P(x) - Q(x)

= x² - x - 6 - (x - 3) ← distribute

= x² - x - 6 - x + 3 ( collect like terms )

= x² - 2x - 3

Answer:

d ≤ 4

Step-by-step explanation:

4d + 7 ≤ 23

Subtract 7 from both sides:-

4d ≤ 16

d ≤ 4

[tex]Solution, 4d+7\le \:23\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

[tex]Steps:[/tex]

[tex]4d+7\le \:23[/tex]

[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\4d+7-7\le \:23-7[/tex]

[tex]\mathrm{Simplify},\\4d\le \:16[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4,\\\frac{4d}{4}\le \frac{16}{4}[/tex]

[tex]\mathrm{Simplify},\\d\le \:4[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:d\le \:4}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]-Austint1414[/tex]

Answer:

It's B ) 5.18*108

Step-by-step explanation:

Multiplying these two gives you 518,000,000

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

518, 000, 000

So, it can be written as

[tex]518\times 10^6[/tex]

But we need a scientific notation which means that decimal should be put after first number.

So, scientific notation would be

[tex]5.18\times 10^8[/tex]

Hence, Option 'B' is correct.

Answer:

there's 33 rabbits and 4 hutches

Step-by-step explanation:

8 x 4 = 32 plus the one left over

11 x 3 = 33 with and extra hutch

Answer:

33 rabbits and four hutches

Step-by-step explanation:

;)brainliest?

Answer:17

Step-by-step explanation:8+9 =17

Answer:

Intercepts at (-1, 0) and (0, 1).

Step-by-step explanation:

The double intercept form for the equation of a line is

ax + by = 1

-1 = -y + x

y = 0

x = -1     Multiply each side by -1

-x = 1

The x-intercept is at (-1, 0).

=====

x = 0

-1 = -y     Multiply each side by -1

y = 1

The y-intercept is at (0, 1).

=====

The graph (see below) is a straight line passing through the points (-1, 0) and (0, 1).

Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

x = 10 - y

Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

20 - 2y + 4y = 30

20 + 2y = 30

2y = 30-20

2y = 10

y = 5

This is the first answer! If we put this into the first equation, we get:

x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

Answer:

y + 1 = 3(x - 5)   Answer

Step-by-step explanation:

Find the slope of the perpendicular line.

m1 * m2 = - 1

m1 = - 1/3

m2 is the slope of the perpendicular

(-1/3) * m2 = - 1             Multiply both sides by -3

-(3)(-1/3) * m2 = -1 * -3  

m2 = 3

The slope of the perpendicular line is 3

Find the equation of the line.

m = (y - y1)/(x -x1)

y - y1 = m(x - x1) is the equation of the line.

y1 =5

x1 = - 1

(y - - 1) = 3(x - 5)

y + 1 = 3(x - 5)   Answer

Answer:

Price in Japan= 17.81

Price in Switzerland = 13.58

Step-by-step explanation:

First set up system of equations

80.59 = 3j +2s

76.36 = 2j + 3s

Make it to where you can eliminate one variable

161.18 = 6j +4 s

-229.08 = -6j - 9s

Reset the problem

-67.9 = -5s

s=13.58

Re plug them in to the original equation to get j = 17.81

By solving a system of linear equations formed from the given information, we found the average cost of a movie ticket in Japan to be $24.60, and in Switzerland to be $6.79.

Let's denote J as the cost of a movie ticket in Japan and S as the cost of a movie ticket in Switzerland. From the problem, we establish two equations: 3J + 2S = $80.59 and 2J + 3S = $76.36. This is a system of linear equations that can be solved by substitution or elimination. If you choose elimination, add these two equations together, which results in 5J + 5S = $156.95, or J + S = $31.39. Now, substitute (J + S) in first equation, we get 3J + 2(31.39 - J) = 80.59. Solving this equation we find J = $24.60. Thus, the price of a movie ticket in Switzerland is S = $31.39 - $24.60 = $6.79. Therefore, a movie ticket in Japan costs $24.60 on average, and in Switzerland, it costs $6.79.

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The complete question is here:

Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.59 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.36. How much does an average movie ticket cost in each of these countries?

In Japan the average cost is __.

In Switzerland the average cost is _____.

Answer:

85

Step-by-step explanation:

Answer:85 would be the correct Answer

Can I have Brainliest?

Step-by-step explanation:

Answer:

the guinea pig is 21 cm longer

Step-by-step explanation:

fish = 40 mm

guinea pig 25 cm

convert the fish to cm

1 cm = 10 mm

40 mm * 1 cm/10 mm =  4 cm

guinea  pig - fish

25 cm - 4 cm

21 cm

the guinea pig is 21 cm longer

Answer:

-37

Step-by-step explanation:

Well for the multiplication its easy because if it is different signs then all you have to do is multiply it normally the add the negatuve sign.

6×5=30

-6×5=-30

2. For adding negative number to a negative number you just add it on.

Answer:

-37

Step-by-step explanation:

Remember to follow PEMDAS and the left -> right rule.

PEMDAS:

Parenthesis

Exponent (& roots)

Multiplication

Division

Addition

Subtraction

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

Also, note the rules of sign:

Multiplying...

Positive number and another positive number will result in a positive answer.

Positive number and a negative number will result in a negative answer.

Negative number and another negative number will result in a positive answer.

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

Note the question:

5 x -6 + (-7)

First, change the sign for -6 + -7. Note the rule above and change the sign.

5 x -6 - 7

Next, solve. Remember to follow PEMDAS. Multiply 5 and -6 together

5 x -6 = -30

Then, combine the remaining terms.

-30 - 7 = -37

You're answer:

-37

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

~

Answer:

9,90

Step-by-step explanation:

Since their lack is 90, we can divide 810 by 90 and get 9. So 9 is their common factor. So 9 and 90.

To find two numbers with 90 as their LCM and 810 as their product, prime factorize 810, and choose two numbers from the prime factors that satisfy the conditions.

The question asks to find two numbers that have 90 as their lowest common multiple (LCM) and 810 as their product.

To find these numbers, we need to first prime factorize 810. The prime factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5.

Now, we need to choose two numbers from these prime factors such that their product is 810 and their LCM is 90. Since 90 = 2 x 3 x 3 x 5, we can choose 3 x 3 x 2 = 18 and 5 as the two numbers.

The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.

If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.

Substituting b = -8 into the equation gives us:

-a = 4(-8) - 7

-a = -32 - 7

-a = -39

Now, we can solve for 'a' by multiplying both sides by -1 to get:

a = 39

Therefore, the value of 'a' is 39.

It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

[tex]x=\dfrac{\sqrt6\cdot\sqrt3}{2}=\dfrac{\sqrt{(6)(3)}}{2}=\dfrac{\sqrt{18}}{2}=\dfrac{\sqrt{(9)(2)}}{2}\\\\=\dfrac{\sqrt9\cdot\sqrt2}{2}=\boxed{\dfrac{3\sqrt2}{2}}[/tex]

Answer:

ok

Step-by-step explanation: