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In-s [12.5K]
3 years ago
5

Evaluate (-b)2 for a = 5, b = -4, and c = 2. -4 16 -16

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
(-b)^2 = (-(-4))^2 = 4^2 = 16
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PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Luden [163]

Answer:

6:9 and 2:3

Step-by-step explanation:

Divide 30:45 by 5 and then divide that answer by 3 for the next one.

8 0
3 years ago
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li
dybincka [34]

Answer:

You are correct. The answer is y=7x+13

Step-by-step explanation:

First, we need to plug in our x value to the derviative's equation to find the slope of the line tangent to the graph, f

f'(x)=-3x+4\\\\f'(-1)=-3(-1)+4\\\\f'(-1)=3+4\\\\f'(-1)=7

Now that we have found the slope and have a given point: (-1,6) we can use the point slope formula to find the equation of the line tangent to the graph f.

y-6=7(x+1)\\\\y-6=7x+7\\\\y=7x+13

3 0
3 years ago
Decide which is the better value based on the unit prices. ( show your work).
alexdok [17]

The questions are asking about unit prices (price per 1 unit of thing)

we want to find out which is the better deal

we want to find out which price/1item is least (you want to pay as little as possible per item)

so to solve each problem, divide price by number of things to get the unit price (price per unit)


1) $25.00 for concert tickets for 2 people or $36.00 for concert tickets for 3 people.

$25 for 2 people is $25/2=$12.50/person

vs

$36 for 3 people is $36/3=$12.00/person

12<12.5 so better value is the $36 for 3 people


2) $380 for a bus for 32 people or $420 for a bus for 38 people.

$380 for 32 people is $380/32=$11.875/person

vs

$420 for 38 people is $420/38=$11.05/person

11.05<11.875

$420 for 38 people is better value


3) $4.25 for 4 liters of milk or $2.55 for 2 liters of milk.

$4.25 for 4 lieter is $4.25/4=$1.06/liter

vs

$2.55 for 2 lieter is $2.55/2=$1.27/liter

1.06<1.27 so $4.25 for 4 liter is better value


4) 35 grams of mixed nuts for $0.99 or 59 grams of mixed nuts for $1.49

$0.99 for 35 grams is $0.99/35=$0.02828/gram

vs

$1.49 for 59 grams is $1.49/59=$0.02525/gram

0.02525<0.02828 so $1.49 for 59 grams is better value


5) inline skate rentals for fat $30.00 for 4 hours or $54.00 for 7 hours.

$30 for 4hrs is $30/4=$7.50/hr

vs

$54 for 7hrs is $54/7=$7.71/hr

7.50<7.71 so $30 for 4hr is better value


6) 500 sheets of paper for $9.45 or 4500 sheets of paper for $49.00

$9.45 for 500 sheets is $9.45/500=$0.0189/sheet

vs

$49.00 for 4500 sheets is $49.00/4500=$0.0108/sheet

0.0108<0.0189 so $49.00 for 4500 is better value


7) 25 liters of gas for $21.50 or 35 liters of gas for $40.00

$21.50 for 25 liters is $21.50/25=$0.86/liter

vs

$40 for 35 liters is $40/35=$1.41/liter

0.86<1.41 so $21.50 for 25 liters is better value

3 0
4 years ago
"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What
VladimirAG [237]

\large\bold{Together \:  We \:  Go  \: Far! } \\ \rule{70mm}{2.9pt}

\large \bold{✞  \: Problem  \: ✞}:

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What angle measures does the ladder make with the wall?"

\rule{70mm}{2.9pt}

\large \bold{✞  \: Solution  \: ✞}:

✰ Step 1 ✰: Identify what is asked in the problem.

  • ❒ The angle formed by the ladder with the wall.

✰ Step 2 ✰: Use appropriate trigonometric ratio to solve the problem.

\quad\qquad  \large\tt{ \:  \:  \:  \:  \:  \: Sine \:  ratio} \\ \quad \qquad \large \bigstar \:  \: \boxed{\tt {   \: \: \sin A= \frac{1.5}{5} \:  \: }}

✰ Step 3 ✰: Solution and interpretation.

:  \qquad \large  \implies \tt{ \sin A =  \frac{1.5}{5} }

:  \qquad \large  \implies \tt{A =   \sin^{ - 1} ( \frac{1.5}{5}) }

:  \qquad \large  \implies \tt{A =  17.46 \approx  \pmb{17 \degree} }

\rule{70mm}{2.9pt}

\large \bold{✞  \: Answer  \: ✞}:

❒ The angle formed by the ladder with the wall is approximately 17°.

\qquad\rule{70mm}{2.9pt}

\large \bold{✰ \: MrHarold \: ࿐}

3 0
2 years ago
The following triangle is isosceles. Write an equation and use it to solve for x.
Roman55 [17]
The answer to the question is x=6
5 0
3 years ago
Read 2 more answers
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