The nature park has a pride of 7 lions and 4 cubs. The adults eat 5 pounds of meat each day and the cubs eat 3 pounds. Simplify 7 × 5 + 4 × 3 to find the amount of meat consumed each day by the lions.

Answers

Answer 1
Answer: simplify 7 x 5 +4 x 3
                35 + 12
                   47

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Answers

Answer:

1 ) alternate interior angle

2) corresponding part of congruent triangle

3) vertically opposite angle

4)∆HED congruent to ∆FEG

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What type of fractions are the following A) 1/3 A) Improper B) mixed C)whole

B) 5 1/6

C) 6/5

answer A B C with the three multiple choice answers.

Answers


a) whole

b) mixed

c) improper

If f(x)=2(x)^2 + 5 square root (x-2), complete the following statement The domain for f(x) is all real numbers _____ than or equal to 2.

Answers

Answer:

Greater.

Step-by-step explanation:

The in the function , the square root term has to give a real number if is to be real. This can only happen if because if then will give a complex number and therefore will not be real.

Thus, the domain for f(x) is all real numbers greater than or equal to 2.

Answer:

The domain for f(x) is all real numbers greater than or equal to 2.

Step-by-step explanation:

Given function:

f(x)=2x^2+5 √(x-2)

The domain of a function is the set of all possibleinput values (x-values).

As the square root of a negative numbercannot be taken:

\implies x-2\geq 0

Therefore:

\implies x-2+2\geq 0+2

\implies x\geq 2

Therefore, the domain of the given function is greater than or equal to 2.

Lucas is making accessories for the soccer team, he uses 685.85 of fabric on headbands for 41 players and 2 coaches. He also uses 353.83 inches of fabric on wristbands for the just the players. How much fabric was used on a headband and wristband for each player?

Answers

15.95 inches fabric was used on headband and 8.63 inches fabric was used on wristband of each player.

Step-by-step explanation:

Fabric used for headbands = 685.85 inches

No. of players = 41

No. of coaches = 2

Total = 41+2 = 43

Fabric used for one headband = (Fabric\ used)/(Total)

Fabric used for one headband = (685.85)/(43) = 15.95\ inches

Fabric used for wristbands = 353.83 inches

No. of players = 41

Fabric used for one wristband = (Fabric\ used)/(No.\ of\ players)

Fabric used for one wristband = (353.83)/(41) = 8.63\ inches

15.95 inches fabric was used on headband and 8.63 inches fabric was used on wristband of each player.

Keywords: division, unit rate

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A 4 kg bird is flying and it has a total kinetic energy of 32 Joules. What is the bird's current velocity?

Answers

Answer:

K=32J

 

Explanation:

Kinetic energy is given by:

K=12mv2  

We are given that  m=4kg  and  v=4ms.

⇒K=12(4kg)(4ms)2  

=32Nm

=32J

Step-by-step explanation:

i have no idea if this helps or not

A step function h(x) is represented by y = –2⌊x⌋. Which phrase best describes the range of the function h(x)?

Answers

Answer:

The range of the function h(x) is all even integers.

Step-by-step explanation:

Range is the set of outputs and y values.

It is given that the function h(x) is represented by y = –2⌊x⌋.

Here, ⌊x⌋ represent the greatest integer function.

The greatest integers function is

f(x)=\begin{cases}-1 & \text{ if } -1\leq x<0 \n 0 & \text{ if } 0\leq x<1 \n1 & \text{ if } 1\leq x<2\n... & \text{ if } ... \nn & \text{ if } n\leq x<n+1 \end{cases}

Range of a greatest integer function is all integers.

The function is 2 times of greatest integer function.

h(x)=\begin{cases}2(-1) & \text{ if } -1\leq x<0 \n 2(0) & \text{ if } 0\leq x<1 \n2(1) & \text{ if } 1\leq x<2\n... & \text{ if } ... \n2(n) & \text{ if } n\leq x<n+1 \end{cases}

Therefore the range of h(x) is all even integers.

The value of step function is an integer number from negative infinity to positive infinity. So the phrase is "all the integer numbers, Z".